--- _id: '32097' author: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Yannick full_name: Guedes Bonthonneau, Yannick last_name: Guedes Bonthonneau - first_name: Colin full_name: Guillarmou, Colin last_name: Guillarmou citation: ama: Weich T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions. Journal of Differential Geometry (to appear) --  arXiv:210312127. Published online 2024. apa: Weich, T., Guedes Bonthonneau, Y., & Guillarmou, C. (2024). SRB Measures of Anosov Actions. Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127. bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_2024, title={SRB Measures of Anosov Actions}, journal={Journal of Differential Geometry (to appear) --  arXiv:2103.12127}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin}, year={2024} }' chicago: Weich, Tobias, Yannick Guedes Bonthonneau, and Colin Guillarmou. “SRB Measures of Anosov Actions.” Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127, 2024. ieee: T. Weich, Y. Guedes Bonthonneau, and C. Guillarmou, “SRB Measures of Anosov Actions,” Journal of Differential Geometry (to appear) --  arXiv:2103.12127, 2024. mla: Weich, Tobias, et al. “SRB Measures of Anosov Actions.” Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127, 2024. short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127 (2024). date_created: 2022-06-22T09:56:23Z date_updated: 2023-12-21T09:47:22Z ddc: - '510' department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - https://arxiv.org/abs/2103.12127 file: - access_level: open_access content_type: application/pdf creator: weich date_created: 2022-06-22T09:56:08Z date_updated: 2022-06-22T09:56:08Z file_id: '32098' file_name: 2103.12127.pdf file_size: 745870 relation: main_file file_date_updated: 2022-06-22T09:56:08Z has_accepted_license: '1' language: - iso: eng oa: '1' publication: Journal of Differential Geometry (to appear) -- arXiv:2103.12127 status: public title: SRB Measures of Anosov Actions type: journal_article user_id: '49178' year: '2024' ... --- _id: '46469' abstract: - lang: eng text: 'We show how to learn discrete field theories from observational data of fields on a space-time lattice. For this, we train a neural network model of a discrete Lagrangian density such that the discrete Euler--Lagrange equations are consistent with the given training data. We, thus, obtain a structure-preserving machine learning architecture. Lagrangian densities are not uniquely defined by the solutions of a field theory. We introduce a technique to derive regularisers for the training process which optimise numerical regularity of the discrete field theory. Minimisation of the regularisers guarantees that close to the training data the discrete field theory behaves robust and efficient when used in numerical simulations. Further, we show how to identify structurally simple solutions of the underlying continuous field theory such as travelling waves. This is possible even when travelling waves are not present in the training data. This is compared to data-driven model order reduction based approaches, which struggle to identify suitable latent spaces containing structurally simple solutions when these are not present in the training data. Ideas are demonstrated on examples based on the wave equation and the Schrödinger equation. ' article_number: '013104' article_type: original author: - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum citation: ama: Offen C, Ober-Blöbaum S. Learning of discrete models of variational PDEs from data. Chaos. 2024;34(1). doi:10.1063/5.0172287 apa: Offen, C., & Ober-Blöbaum, S. (2024). Learning of discrete models of variational PDEs from data. Chaos, 34(1), Article 013104. https://doi.org/10.1063/5.0172287 bibtex: '@article{Offen_Ober-Blöbaum_2024, title={Learning of discrete models of variational PDEs from data}, volume={34}, DOI={10.1063/5.0172287}, number={1013104}, journal={Chaos}, publisher={AIP Publishing}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2024} }' chicago: Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational PDEs from Data.” Chaos 34, no. 1 (2024). https://doi.org/10.1063/5.0172287. ieee: 'C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational PDEs from data,” Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi: 10.1063/5.0172287.' mla: Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational PDEs from Data.” Chaos, vol. 34, no. 1, 013104, AIP Publishing, 2024, doi:10.1063/5.0172287. short: C. Offen, S. Ober-Blöbaum, Chaos 34 (2024). date_created: 2023-08-10T08:24:48Z date_updated: 2024-01-09T11:29:06Z ddc: - '510' department: - _id: '636' doi: 10.1063/5.0172287 external_id: arxiv: - '2308.05082 ' file: - access_level: open_access content_type: application/pdf creator: coffen date_created: 2024-01-09T10:48:38Z date_updated: 2024-01-09T10:48:38Z file_id: '50376' file_name: Accepted manuscript with AIP banner CHA23-AR-01370.pdf file_size: 13222105 relation: main_file title: Accepted Manuscript Chaos - access_level: open_access content_type: application/pdf creator: coffen date_created: 2024-01-09T11:19:49Z date_updated: 2024-01-09T11:19:49Z description: |- We show how to learn discrete field theories from observational data of fields on a space-time lattice. For this, we train a neural network model of a discrete Lagrangian density such that the discrete Euler–Lagrange equations are consistent with the given training data. We, thus, obtain a structure-preserving machine learning architecture. Lagrangian densities are not uniquely defined by the solutions of a field theory. We introduce a technique to derive regularisers for the training process which optimise numerical regularity of the discrete field theory. Minimisation of the regularisers guarantees that close to the training data the discrete field theory behaves robust and efficient when used in numerical simulations. Further, we show how to identify structurally simple solutions of the underlying continuous field theory such as travelling waves. This is possible even when travelling waves are not present in the training data. This is compared to data-driven model order reduction based approaches, which struggle to identify suitable latent spaces containing structurally simple solutions when these are not present in the training data. Ideas are demonstrated on examples based on the wave equation and the Schrödinger equation. file_id: '50390' file_name: LDensityPDE_AIP.pdf file_size: 12960884 relation: main_file title: Learning of discrete models of variational PDEs from data file_date_updated: 2024-01-09T11:19:49Z has_accepted_license: '1' intvolume: ' 34' issue: '1' language: - iso: eng oa: '1' publication: Chaos publication_identifier: issn: - 1054-1500 publication_status: published publisher: AIP Publishing quality_controlled: '1' related_material: link: - description: GitHub relation: software url: https://github.com/Christian-Offen/DLNN_pde status: public title: Learning of discrete models of variational PDEs from data type: journal_article user_id: '85279' volume: 34 year: '2024' ... --- _id: '50554' author: - first_name: Susanne full_name: Prediger, Susanne last_name: Prediger - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel citation: ama: 'Prediger S, Wessel L. 31 Sprachbildung im berufsbezogenen Mathematikunterricht. In: Efing C, Kalkavan-Aydin Z, eds. Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis. Vol Band 3. DaZ-Handbücher. DE GRUYTER; 2024:363-372.' apa: 'Prediger, S., & Wessel, L. (2024). 31 Sprachbildung im berufsbezogenen Mathematikunterricht. In C. Efing & Z. Kalkavan-Aydin (Eds.), Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis: Vol. Band 3 (pp. 363–372). DE GRUYTER.' bibtex: '@inbook{Prediger_Wessel_2024, place={Berlin}, series={DaZ-Handbücher}, title={31 Sprachbildung im berufsbezogenen Mathematikunterricht.}, volume={Band 3}, booktitle={Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis}, publisher={DE GRUYTER}, author={Prediger, Susanne and Wessel, Lena}, editor={Efing, Christian and Kalkavan-Aydin, Zeynep}, year={2024}, pages={363–372}, collection={DaZ-Handbücher} }' chicago: 'Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen Mathematikunterricht.” In Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis, edited by Christian Efing and Zeynep Kalkavan-Aydin, Band 3:363–72. DaZ-Handbücher. Berlin: DE GRUYTER, 2024.' ieee: 'S. Prediger and L. Wessel, “31 Sprachbildung im berufsbezogenen Mathematikunterricht.,” in Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis, vol. Band 3, C. Efing and Z. Kalkavan-Aydin, Eds. Berlin: DE GRUYTER, 2024, pp. 363–372.' mla: Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen Mathematikunterricht.” Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis, edited by Christian Efing and Zeynep Kalkavan-Aydin, vol. Band 3, DE GRUYTER, 2024, pp. 363–72. short: 'S. Prediger, L. Wessel, in: C. Efing, Z. Kalkavan-Aydin (Eds.), Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis, DE GRUYTER, Berlin, 2024, pp. 363–372.' date_created: 2024-01-17T10:58:04Z date_updated: 2024-01-17T11:07:21Z department: - _id: '34' - _id: '10' - _id: '643' editor: - first_name: Christian full_name: Efing, Christian last_name: Efing - first_name: Zeynep full_name: Kalkavan-Aydin, Zeynep last_name: Kalkavan-Aydin language: - iso: ger main_file_link: - open_access: '1' url: https://www.degruyter.com/document/doi/10.1515/9783110745504/pdf?licenseType=restricted#page=381 oa: '1' page: 363-372 place: Berlin publication: Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis publication_identifier: isbn: - 978-3-11-074544-3 publication_status: published publisher: DE GRUYTER series_title: DaZ-Handbücher status: public title: 31 Sprachbildung im berufsbezogenen Mathematikunterricht. type: book_chapter user_id: '37888' volume: Band 3 year: '2024' ... --- _id: '51208' abstract: - lang: eng text: AbstractApproximation of subdifferentials is one of the main tasks when computing descent directions for nonsmooth optimization problems. In this article, we propose a bisection method for weakly lower semismooth functions which is able to compute new subgradients that improve a given approximation in case a direction with insufficient descent was computed. Combined with a recently proposed deterministic gradient sampling approach, this yields a deterministic and provably convergent way to approximate subdifferentials for computing descent directions. author: - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken citation: ama: Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. Published online 2024. doi:10.1007/s10589-024-00552-0 apa: Gebken, B. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. https://doi.org/10.1007/s10589-024-00552-0 bibtex: '@article{Gebken_2024, title={A note on the convergence of deterministic gradient sampling in nonsmooth optimization}, DOI={10.1007/s10589-024-00552-0}, journal={Computational Optimization and Applications}, publisher={Springer Science and Business Media LLC}, author={Gebken, Bennet}, year={2024} }' chicago: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, 2024. https://doi.org/10.1007/s10589-024-00552-0. ieee: 'B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,” Computational Optimization and Applications, 2024, doi: 10.1007/s10589-024-00552-0.' mla: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, Springer Science and Business Media LLC, 2024, doi:10.1007/s10589-024-00552-0. short: B. Gebken, Computational Optimization and Applications (2024). date_created: 2024-02-07T07:23:23Z date_updated: 2024-02-08T08:05:54Z department: - _id: '101' doi: 10.1007/s10589-024-00552-0 keyword: - Applied Mathematics - Computational Mathematics - Control and Optimization language: - iso: eng publication: Computational Optimization and Applications publication_identifier: issn: - 0926-6003 - 1573-2894 publication_status: published publisher: Springer Science and Business Media LLC status: public title: A note on the convergence of deterministic gradient sampling in nonsmooth optimization type: journal_article user_id: '32643' year: '2024' ... --- _id: '51204' abstract: - lang: eng text: "Given a real semisimple connected Lie group $G$ and a discrete torsion-free\r\nsubgroup $\\Gamma < G$ we prove a precise connection between growth rates of the\r\ngroup $\\Gamma$, polyhedral bounds on the joint spectrum of the ring of\r\ninvariant differential operators, and the decay of matrix coefficients. In\r\nparticular, this allows us to completely characterize temperedness of\r\n$L^2(\\Gamma\\backslash G)$ in this general setting." author: - first_name: Christopher full_name: Lutsko, Christopher last_name: Lutsko - first_name: Tobias full_name: Weich, Tobias last_name: Weich - first_name: Lasse Lennart full_name: Wolf, Lasse Lennart id: '45027' last_name: Wolf citation: ama: Lutsko C, Weich T, Wolf LL. Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. arXiv:240202530. Published online 2024. apa: Lutsko, C., Weich, T., & Wolf, L. L. (2024). Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. In arXiv:2402.02530. bibtex: '@article{Lutsko_Weich_Wolf_2024, title={Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces}, journal={arXiv:2402.02530}, author={Lutsko, Christopher and Weich, Tobias and Wolf, Lasse Lennart}, year={2024} }' chicago: Lutsko, Christopher, Tobias Weich, and Lasse Lennart Wolf. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally  Symmetric Spaces.” ArXiv:2402.02530, 2024. ieee: C. Lutsko, T. Weich, and L. L. Wolf, “Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces,” arXiv:2402.02530. 2024. mla: Lutsko, Christopher, et al. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally  Symmetric Spaces.” ArXiv:2402.02530, 2024. short: C. Lutsko, T. Weich, L.L. Wolf, ArXiv:2402.02530 (2024). date_created: 2024-02-06T20:35:36Z date_updated: 2024-02-11T19:56:35Z department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - '2402.02530' language: - iso: eng publication: arXiv:2402.02530 status: public title: Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces type: preprint user_id: '49178' year: '2024' ... --- _id: '51374' article_number: '110319' author: - first_name: David full_name: Hasler, David last_name: Hasler - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Oliver full_name: Siebert, Oliver last_name: Siebert citation: ama: Hasler D, Hinrichs B, Siebert O. Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively. Journal of Functional Analysis. 2024;286(7). doi:10.1016/j.jfa.2024.110319 apa: Hasler, D., Hinrichs, B., & Siebert, O. (2024). Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively. Journal of Functional Analysis, 286(7), Article 110319. https://doi.org/10.1016/j.jfa.2024.110319 bibtex: '@article{Hasler_Hinrichs_Siebert_2024, title={Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively}, volume={286}, DOI={10.1016/j.jfa.2024.110319}, number={7110319}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2024} }' chicago: Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively.” Journal of Functional Analysis 286, no. 7 (2024). https://doi.org/10.1016/j.jfa.2024.110319. ieee: 'D. Hasler, B. Hinrichs, and O. Siebert, “Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively,” Journal of Functional Analysis, vol. 286, no. 7, Art. no. 110319, 2024, doi: 10.1016/j.jfa.2024.110319.' mla: Hasler, David, et al. “Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively.” Journal of Functional Analysis, vol. 286, no. 7, 110319, Elsevier BV, 2024, doi:10.1016/j.jfa.2024.110319. short: D. Hasler, B. Hinrichs, O. Siebert, Journal of Functional Analysis 286 (2024). date_created: 2024-02-18T12:31:28Z date_updated: 2024-02-18T12:32:23Z department: - _id: '799' doi: 10.1016/j.jfa.2024.110319 extern: '1' external_id: arxiv: - '2302.06998' intvolume: ' 286' issue: '7' keyword: - Analysis language: - iso: eng publication: Journal of Functional Analysis publication_identifier: issn: - 0022-1236 publication_status: published publisher: Elsevier BV status: public title: Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively type: journal_article user_id: '99427' volume: 286 year: '2024' ... --- _id: '32101' author: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Yannick full_name: Guedes Bonthonneau, Yannick last_name: Guedes Bonthonneau - first_name: Colin full_name: Guillarmou, Colin last_name: Guillarmou - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonaces of Anosov actions. J Europ Math Soc. Published online 2024:1-36. apa: Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024). Ruelle-Taylor resonaces of Anosov actions. J. Europ. Math. Soc., 1–36. bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_Hilgert_2024, title={Ruelle-Taylor resonaces of Anosov actions}, journal={J. Europ. Math. Soc.}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin and Hilgert, Joachim}, year={2024}, pages={1–36} }' chicago: Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim Hilgert. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, 1–36. ieee: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonaces of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024. mla: Weich, Tobias, et al. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, pp. 1–36. short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36. date_created: 2022-06-22T09:56:51Z date_updated: 2024-02-19T06:25:13Z ddc: - '510' department: - _id: '10' - _id: '623' - _id: '548' - _id: '91' file: - access_level: open_access content_type: application/pdf creator: weich date_created: 2022-06-22T09:56:47Z date_updated: 2022-06-22T09:56:47Z file_id: '32102' file_name: 2007.14275.pdf file_size: 796410 relation: main_file file_date_updated: 2022-06-22T09:56:47Z has_accepted_license: '1' language: - iso: eng oa: '1' page: 1-36 publication: J. Europ. Math. Soc. publication_status: published status: public title: Ruelle-Taylor resonaces of Anosov actions type: journal_article user_id: '49063' year: '2024' ... --- _id: '51501' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Hilgert J. Quantum-Classical Correspondences for Locally Symmetric Spaces. Published online 2024. apa: Hilgert, J. (2024). Quantum-Classical Correspondences for Locally Symmetric Spaces. bibtex: '@article{Hilgert_2024, title={Quantum-Classical Correspondences for Locally Symmetric Spaces}, author={Hilgert, Joachim}, year={2024} }' chicago: Hilgert, Joachim. “Quantum-Classical Correspondences for Locally Symmetric Spaces,” 2024. ieee: J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces.” 2024. mla: Hilgert, Joachim. Quantum-Classical Correspondences for Locally Symmetric Spaces. 2024. short: J. Hilgert, (2024). date_created: 2024-02-19T10:31:51Z date_updated: 2024-02-19T10:32:07Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2303.00578.pdf oa: '1' publication_status: published status: public title: Quantum-Classical Correspondences for Locally Symmetric Spaces type: preprint user_id: '49063' year: '2024' ... --- _id: '46019' abstract: - lang: eng text: We derive efficient algorithms to compute weakly Pareto optimal solutions for smooth, convex and unconstrained multiobjective optimization problems in general Hilbert spaces. To this end, we define a novel inertial gradient-like dynamical system in the multiobjective setting, which trajectories converge weakly to Pareto optimal solutions. Discretization of this system yields an inertial multiobjective algorithm which generates sequences that converge weakly to Pareto optimal solutions. We employ Nesterov acceleration to define an algorithm with an improved convergence rate compared to the plain multiobjective steepest descent method (Algorithm 1). A further improvement in terms of efficiency is achieved by avoiding the solution of a quadratic subproblem to compute a common step direction for all objective functions, which is usually required in first-order methods. Using a different discretization of our inertial gradient-like dynamical system, we obtain an accelerated multiobjective gradient method that does not require the solution of a subproblem in each step (Algorithm 2). While this algorithm does not converge in general, it yields good results on test problems while being faster than standard steepest descent. author: - first_name: Konstantin full_name: Sonntag, Konstantin id: '56399' last_name: Sonntag orcid: https://orcid.org/0000-0003-3384-3496 - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X citation: ama: Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. Published online 2024. doi:10.1007/s10957-024-02389-3 apa: Sonntag, K., & Peitz, S. (2024). Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-024-02389-3 bibtex: '@article{Sonntag_Peitz_2024, title={Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems}, DOI={10.1007/s10957-024-02389-3}, journal={Journal of Optimization Theory and Applications}, publisher={Springer}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024} }' chicago: Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of Optimization Theory and Applications, 2024. https://doi.org/10.1007/s10957-024-02389-3. ieee: 'K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems,” Journal of Optimization Theory and Applications, 2024, doi: 10.1007/s10957-024-02389-3.' mla: Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of Optimization Theory and Applications, Springer, 2024, doi:10.1007/s10957-024-02389-3. short: K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024). date_created: 2023-07-12T06:35:58Z date_updated: 2024-02-21T10:13:33Z department: - _id: '101' - _id: '655' doi: 10.1007/s10957-024-02389-3 language: - iso: eng main_file_link: - open_access: '1' url: https://link.springer.com/content/pdf/10.1007/s10957-024-02389-3.pdf oa: '1' publication: Journal of Optimization Theory and Applications publication_status: published publisher: Springer status: public title: Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems type: journal_article user_id: '56399' year: '2024' ... --- _id: '51334' abstract: - lang: eng text: The efficient optimization method for locally Lipschitz continuous multiobjective optimization problems from [1] is extended from finite-dimensional problems to general Hilbert spaces. The method iteratively computes Pareto critical points, where in each iteration, an approximation of the subdifferential is computed in an efficient manner and then used to compute a common descent direction for all objective functions. To prove convergence, we present some new optimality results for nonsmooth multiobjective optimization problems in Hilbert spaces. Using these, we can show that every accumulation point of the sequence generated by our algorithm is Pareto critical under common assumptions. Computational efficiency for finding Pareto critical points is numerically demonstrated for multiobjective optimal control of an obstacle problem. author: - first_name: Konstantin full_name: Sonntag, Konstantin id: '56399' last_name: Sonntag orcid: https://orcid.org/0000-0003-3384-3496 - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken - first_name: Georg full_name: Müller, Georg last_name: Müller - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X - first_name: Stefan full_name: Volkwein, Stefan last_name: Volkwein citation: ama: Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. arXiv:240206376. Published online 2024. apa: Sonntag, K., Gebken, B., Müller, G., Peitz, S., & Volkwein, S. (2024). A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. In arXiv:2402.06376. bibtex: '@article{Sonntag_Gebken_Müller_Peitz_Volkwein_2024, title={A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces}, journal={arXiv:2402.06376}, author={Sonntag, Konstantin and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Volkwein, Stefan}, year={2024} }' chicago: Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024. ieee: K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” arXiv:2402.06376. 2024. mla: Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024. short: K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376 (2024). date_created: 2024-02-13T09:35:26Z date_updated: 2024-02-21T10:21:03Z department: - _id: '101' - _id: '655' external_id: arxiv: - "\t2402.06376" has_accepted_license: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2402.06376 oa: '1' publication: arXiv:2402.06376 status: public title: A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces type: preprint user_id: '56399' year: '2024' ... --- _id: '51841' abstract: - lang: ger text: 'athematische Kompetenzen digital zu fördern und digitale Kompetenzen mathematisch zu fördern – dies ist eine Forderung der neuen Bildungsstandards mit Blick auf eine Bildung in der digitalen Welt. Gerade das Potenzial digitaler Medien für das fachliche Lernen wurde in vielen Studien bestätigt. Eine sinnvoll gestaltete Einbettung digitaler Medien bietet die Chance, allen fünf Prinzipien eines guten Unterrichts gerecht zu werden: Verstehensorientierung, Durchgängigkeit, kognitive Aktivierung, Lernendenorientierung & Adaptivität und Kommunikationsförderung. Die flächendeckende Nutzung digitaler Medien etabliert sich bislang nur zögerlich. Aber wie können wir Lehrkräfte stärken, digitale Medien sinnvoll einzusetzen? Wir möchten hier die Bandbreite der Möglichkeiten an Beispielen verdeutlichen, ihren Einsatz motivieren und Wege für einen guten Unterricht aufzeigen.' article_type: original author: - first_name: Bärbel full_name: Barzel, Bärbel last_name: Barzel - first_name: Gilbert full_name: Greefrath, Gilbert last_name: Greefrath - first_name: Mareike full_name: Nagel, Mareike last_name: Nagel - first_name: Max full_name: Hoffmann, Max id: '32202' last_name: Hoffmann orcid: 0000-0002-6964-7123 citation: ama: Barzel B, Greefrath G, Nagel M, Hoffmann M. Digitalisierung als Chance für alle Prinzipien guten Unterrichts. mathematik lehren. 2024;242:42-47. apa: Barzel, B., Greefrath, G., Nagel, M., & Hoffmann, M. (2024). Digitalisierung als Chance für alle Prinzipien guten Unterrichts. mathematik lehren, 242, 42–47. bibtex: '@article{Barzel_Greefrath_Nagel_Hoffmann_2024, title={Digitalisierung als Chance für alle Prinzipien guten Unterrichts}, volume={242}, journal={mathematik lehren}, author={Barzel, Bärbel and Greefrath, Gilbert and Nagel, Mareike and Hoffmann, Max}, year={2024}, pages={42–47} }' chicago: 'Barzel, Bärbel, Gilbert Greefrath, Mareike Nagel, and Max Hoffmann. “Digitalisierung als Chance für alle Prinzipien guten Unterrichts.” mathematik lehren 242 (2024): 42–47.' ieee: B. Barzel, G. Greefrath, M. Nagel, and M. Hoffmann, “Digitalisierung als Chance für alle Prinzipien guten Unterrichts,” mathematik lehren, vol. 242, pp. 42–47, 2024. mla: Barzel, Bärbel, et al. “Digitalisierung als Chance für alle Prinzipien guten Unterrichts.” mathematik lehren, vol. 242, 2024, pp. 42–47. short: B. Barzel, G. Greefrath, M. Nagel, M. Hoffmann, mathematik lehren 242 (2024) 42–47. date_created: 2024-02-25T20:58:51Z date_updated: 2024-02-25T21:01:03Z ddc: - '510' - '370' department: - _id: '97' - _id: '643' file: - access_level: closed content_type: application/pdf creator: maxh date_created: 2024-02-25T20:55:29Z date_updated: 2024-02-25T20:55:29Z file_id: '51842' file_name: Barzel_etal_2024_DigitalisierungalsChancefrallePrinzipiengut.pdf file_size: 1410541 relation: main_file success: 1 file_date_updated: 2024-02-25T20:55:29Z has_accepted_license: '1' intvolume: ' 242' language: - iso: ger main_file_link: - open_access: '1' url: https://www.friedrich-verlag.de/shop/mwdownloads/download/link/id/114555/ oa: '1' page: 42 - 47 publication: mathematik lehren publication_status: published status: public title: Digitalisierung als Chance für alle Prinzipien guten Unterrichts type: journal_article user_id: '32202' volume: 242 year: '2024' ... --- _id: '52342' abstract: - lang: eng text: 'We introduce the concept of a k-token signed graph and study some of its combinatorial and algebraic properties. We prove that two switching isomorphic signed graphs have switching isomorphic token graphs. Moreover, we show that the Laplacian spectrum of a balanced signed graph is contained in the Laplacian spectra of its k-token signed graph. Besides, we introduce and study the unbalance level of a signed graph, which is a new parameter that measures how far a signed graph is from being balanced. Moreover, we study the relation between the frustration index and the unbalance level of signed graphs and their token signed graphs. ' author: - first_name: C. full_name: Dalfó, C. last_name: Dalfó - first_name: M. A. full_name: Fiol, M. A. last_name: Fiol - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 citation: ama: Dalfó C, Fiol MA, Steffen E. On token signed graphs. arXiv:240302924. Published online 2024. apa: Dalfó, C., Fiol, M. A., & Steffen, E. (2024). On token signed graphs. In arXiv:2403.02924. bibtex: '@article{Dalfó_Fiol_Steffen_2024, title={On token signed graphs}, journal={arXiv:2403.02924}, author={Dalfó, C. and Fiol, M. A. and Steffen, Eckhard}, year={2024} }' chicago: Dalfó, C., M. A. Fiol, and Eckhard Steffen. “On Token Signed Graphs.” ArXiv:2403.02924, 2024. ieee: C. Dalfó, M. A. Fiol, and E. Steffen, “On token signed graphs,” arXiv:2403.02924. 2024. mla: Dalfó, C., et al. “On Token Signed Graphs.” ArXiv:2403.02924, 2024. short: C. Dalfó, M.A. Fiol, E. Steffen, ArXiv:2403.02924 (2024). date_created: 2024-03-07T08:48:39Z date_updated: 2024-03-07T08:50:33Z department: - _id: '542' external_id: arxiv: - '2403.02924' language: - iso: eng publication: arXiv:2403.02924 status: public title: On token signed graphs type: preprint user_id: '15540' year: '2024' ... --- _id: '52691' abstract: - lang: eng text: "We prove Feynman-Kac formulas for the semigroups generated by selfadjoint\r\noperators in a class containing Fr\\\"ohlich Hamiltonians known from solid state\r\nphysics. The latter model multi-polarons, i.e., a fixed number of quantum\r\nmechanical electrons moving in a polarizable crystal and interacting with the\r\nquantized phonon field generated by the crystal's vibrational modes. Both the\r\nelectrons and phonons can be confined to suitable open subsets of Euclidean\r\nspace. We also include possibly very singular magnetic vector potentials and\r\nelectrostatic potentials. Our Feynman-Kac formulas comprise Fock space\r\noperator-valued multiplicative functionals and can be applied to every vector\r\nin the underlying Hilbert space. In comparison to the renormalized Nelson\r\nmodel, for which analogous Feynman-Kac formulas are known, the analysis of the\r\ncreation and annihilation terms in the multiplicative functionals requires\r\nnovel ideas to overcome difficulties caused by the phonon dispersion relation\r\nbeing constant. Getting these terms under control and generalizing other\r\nconstruction steps so as to cover confined systems are the main achievements of\r\nthis article." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Oliver full_name: Matte, Oliver last_name: Matte citation: ama: Hinrichs B, Matte O. Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. arXiv:240312147. Published online 2024. apa: Hinrichs, B., & Matte, O. (2024). Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. In arXiv:2403.12147. bibtex: '@article{Hinrichs_Matte_2024, title={Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains}, journal={arXiv:2403.12147}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2024} }' chicago: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” ArXiv:2403.12147, 2024. ieee: B. Hinrichs and O. Matte, “Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains,” arXiv:2403.12147. 2024. mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” ArXiv:2403.12147, 2024. short: B. Hinrichs, O. Matte, ArXiv:2403.12147 (2024). date_created: 2024-03-20T14:56:05Z date_updated: 2024-03-20T14:56:50Z department: - _id: '799' external_id: arxiv: - '2403.12147' language: - iso: eng publication: arXiv:2403.12147 status: public title: Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains type: preprint user_id: '99427' year: '2024' ... --- _id: '52726' abstract: - lang: eng text: Heteroclinic structures organize global features of dynamical systems. We analyse whether heteroclinic structures can arise in network dynamics with higher-order interactions which describe the nonlinear interactions between three or more units. We find that while commonly analysed model equations such as network dynamics on undirected hypergraphs may be useful to describe local dynamics such as cluster synchronization, they give rise to obstructions that allow to design of heteroclinic structures in phase space. By contrast, directed hypergraphs break the homogeneity and lead to vector fields that support heteroclinic structures. article_type: original author: - first_name: Christian full_name: Bick, Christian last_name: Bick - first_name: Sören full_name: von der Gracht, Sören id: '97359' last_name: von der Gracht orcid: 0000-0002-8054-2058 citation: ama: Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks. 2024;12(2). doi:10.1093/comnet/cnae009 apa: Bick, C., & von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks, 12(2). https://doi.org/10.1093/comnet/cnae009 bibtex: '@article{Bick_von der Gracht_2024, title={Heteroclinic dynamics in network dynamical systems with higher-order interactions}, volume={12}, DOI={10.1093/comnet/cnae009}, number={2}, journal={Journal of Complex Networks}, publisher={Oxford University Press (OUP)}, author={Bick, Christian and von der Gracht, Sören}, year={2024} }' chicago: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks 12, no. 2 (2024). https://doi.org/10.1093/comnet/cnae009. ieee: 'C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” Journal of Complex Networks, vol. 12, no. 2, 2024, doi: 10.1093/comnet/cnae009.' mla: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:10.1093/comnet/cnae009. short: C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024). date_created: 2024-03-22T09:04:57Z date_updated: 2024-03-22T09:11:53Z ddc: - '510' department: - _id: '101' doi: 10.1093/comnet/cnae009 external_id: arxiv: - '2309.02006' file: - access_level: closed content_type: application/pdf creator: svdg date_created: 2024-03-22T09:06:07Z date_updated: 2024-03-22T09:06:07Z file_id: '52728' file_name: heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf file_size: 649155 relation: main_file success: 1 file_date_updated: 2024-03-22T09:06:07Z has_accepted_license: '1' intvolume: ' 12' issue: '2' keyword: - Applied Mathematics - Computational Mathematics - Control and Optimization - Management Science and Operations Research - Computer Networks and Communications language: - iso: eng main_file_link: - open_access: '1' url: https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf oa: '1' publication: Journal of Complex Networks publication_identifier: issn: - 2051-1329 publication_status: published publisher: Oxford University Press (OUP) status: public title: Heteroclinic dynamics in network dynamical systems with higher-order interactions type: journal_article user_id: '97359' volume: 12 year: '2024' ... --- _id: '49905' abstract: - lang: eng text: "For 0 ≤ t ≤ r let m(t, r) be the maximum number s such that every t-edge-connected r-graph has s pairwise disjoint perfect matchings. There are only a few values of m(t, r) known, for instance m(3, 3) = m(4, r) = 1, and m(t, r) ≤ r − 2 for all t \x03 = 5,\r\nand m(t, r) ≤ r − 3 if r is even. We prove that m(2l, r) ≤ 3l − 6 for every l ≥ 3 and r ≥ 2l." author: - first_name: Yulai full_name: Ma, Yulai id: '92748' last_name: Ma - first_name: Davide full_name: Mattiolo, Davide last_name: Mattiolo - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Isaak Hieronymus full_name: Wolf, Isaak Hieronymus id: '88145' last_name: Wolf citation: ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs. Combinatorica. 2024;44:429-440. doi:10.1007/s00493-023-00078-9 apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2024). Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs. Combinatorica, 44, 429–440. https://doi.org/10.1007/s00493-023-00078-9 bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2024, title={Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs}, volume={44}, DOI={10.1007/s00493-023-00078-9}, journal={Combinatorica}, publisher={Springer Science and Business Media LLC}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2024}, pages={429–440} }' chicago: 'Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.” Combinatorica 44 (2024): 429–40. https://doi.org/10.1007/s00493-023-00078-9.' ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs,” Combinatorica, vol. 44, pp. 429–440, 2024, doi: 10.1007/s00493-023-00078-9.' mla: Ma, Yulai, et al. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.” Combinatorica, vol. 44, Springer Science and Business Media LLC, 2024, pp. 429–40, doi:10.1007/s00493-023-00078-9. short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 44 (2024) 429–440. date_created: 2023-12-20T10:31:27Z date_updated: 2024-03-22T12:11:35Z department: - _id: '542' doi: 10.1007/s00493-023-00078-9 intvolume: ' 44' keyword: - Computational Mathematics - Discrete Mathematics and Combinatorics language: - iso: eng page: 429-440 publication: Combinatorica publication_identifier: issn: - 0209-9683 - 1439-6912 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs type: journal_article user_id: '15540' volume: 44 year: '2024' ... --- _id: '53101' abstract: - lang: eng text: In this work, we consider optimal control problems for mechanical systems with fixed initial and free final state and a quadratic Lagrange term. Specifically, the dynamics is described by a second order ODE containing an affine control term. Classically, Pontryagin's maximum principle gives necessary optimality conditions for the optimal control problem. For smooth problems, alternatively, a variational approach based on an augmented objective can be followed. Here, we propose a new Lagrangian approach leading to equivalent necessary optimality conditions in the form of Euler-Lagrange equations. Thus, the differential geometric structure (similar to classical Lagrangian dynamics) can be exploited in the framework of optimal control problems. In particular, the formulation enables the symplectic discretisation of the optimal control problem via variational integrators in a straightforward way. article_type: original author: - first_name: Sigrid full_name: Leyendecker, Sigrid last_name: Leyendecker - first_name: Sofya full_name: Maslovskaya, Sofya id: '87909' last_name: Maslovskaya - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Rodrigo T. Sato Martín de full_name: Almagro, Rodrigo T. Sato Martín de last_name: Almagro - first_name: Flóra Orsolya full_name: Szemenyei, Flóra Orsolya last_name: Szemenyei citation: ama: Leyendecker S, Maslovskaya S, Ober-Blöbaum S, Almagro RTSM de, Szemenyei FO. A new Lagrangian approach to control affine systems with a quadratic Lagrange term. Journal of Computational Dynamics. 2024;0(0):0-0. doi:10.3934/jcd.2024017 apa: Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., Almagro, R. T. S. M. de, & Szemenyei, F. O. (2024). A new Lagrangian approach to control affine systems with a quadratic Lagrange term. Journal of Computational Dynamics, 0(0), 0–0. https://doi.org/10.3934/jcd.2024017 bibtex: '@article{Leyendecker_Maslovskaya_Ober-Blöbaum_Almagro_Szemenyei_2024, title={A new Lagrangian approach to control affine systems with a quadratic Lagrange term}, volume={0}, DOI={10.3934/jcd.2024017}, number={0}, journal={Journal of Computational Dynamics}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Leyendecker, Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Almagro, Rodrigo T. Sato Martín de and Szemenyei, Flóra Orsolya}, year={2024}, pages={0–0} }' chicago: 'Leyendecker, Sigrid, Sofya Maslovskaya, Sina Ober-Blöbaum, Rodrigo T. Sato Martín de Almagro, and Flóra Orsolya Szemenyei. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Computational Dynamics 0, no. 0 (2024): 0–0. https://doi.org/10.3934/jcd.2024017.' ieee: 'S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro, and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with a quadratic Lagrange term,” Journal of Computational Dynamics, vol. 0, no. 0, pp. 0–0, 2024, doi: 10.3934/jcd.2024017.' mla: Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Computational Dynamics, vol. 0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi:10.3934/jcd.2024017. short: S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T.S.M. de Almagro, F.O. Szemenyei, Journal of Computational Dynamics 0 (2024) 0–0. date_created: 2024-03-28T15:58:02Z date_updated: 2024-03-28T16:07:34Z ddc: - '510' department: - _id: '636' doi: 10.3934/jcd.2024017 has_accepted_license: '1' issue: '0' keyword: - Optimal control problem - Lagrangian system - Hamiltonian system - Variations - Pontryagin's maximum principle. language: - iso: eng main_file_link: - open_access: '1' url: https://www.aimsciences.org/article/doi/10.3934/jcd.2024017 oa: '1' page: 0-0 publication: Journal of Computational Dynamics publication_identifier: issn: - 2158-2491 - 2158-2505 publication_status: published publisher: American Institute of Mathematical Sciences (AIMS) status: public title: A new Lagrangian approach to control affine systems with a quadratic Lagrange term type: journal_article user_id: '87909' volume: '0' year: '2024' ... --- _id: '21199' abstract: - lang: eng text: "As in almost every other branch of science, the major advances in data\r\nscience and machine learning have also resulted in significant improvements\r\nregarding the modeling and simulation of nonlinear dynamical systems. It is\r\nnowadays possible to make accurate medium to long-term predictions of highly\r\ncomplex systems such as the weather, the dynamics within a nuclear fusion\r\nreactor, of disease models or the stock market in a very efficient manner. In\r\nmany cases, predictive methods are advertised to ultimately be useful for\r\ncontrol, as the control of high-dimensional nonlinear systems is an engineering\r\ngrand challenge with huge potential in areas such as clean and efficient energy\r\nproduction, or the development of advanced medical devices. However, the\r\nquestion of how to use a predictive model for control is often left unanswered\r\ndue to the associated challenges, namely a significantly higher system\r\ncomplexity, the requirement of much larger data sets and an increased and often\r\nproblem-specific modeling effort. To solve these issues, we present a universal\r\nframework (which we call QuaSiModO:\r\nQuantization-Simulation-Modeling-Optimization) to transform arbitrary\r\npredictive models into control systems and use them for feedback control. The\r\nadvantages of our approach are a linear increase in data requirements with\r\nrespect to the control dimension, performance guarantees that rely exclusively\r\non the accuracy of the predictive model, and only little prior knowledge\r\nrequirements in control theory to solve complex control problems. In particular\r\nthe latter point is of key importance to enable a large number of researchers\r\nand practitioners to exploit the ever increasing capabilities of predictive\r\nmodels for control in a straight-forward and systematic fashion." article_number: '110840' author: - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X - first_name: Katharina full_name: Bieker, Katharina id: '32829' last_name: Bieker citation: ama: Peitz S, Bieker K. On the Universal Transformation of Data-Driven Models to Control Systems. Automatica. 2023;149. doi:10.1016/j.automatica.2022.110840 apa: Peitz, S., & Bieker, K. (2023). On the Universal Transformation of Data-Driven Models to Control Systems. Automatica, 149, Article 110840. https://doi.org/10.1016/j.automatica.2022.110840 bibtex: '@article{Peitz_Bieker_2023, title={On the Universal Transformation of Data-Driven Models to Control Systems}, volume={149}, DOI={10.1016/j.automatica.2022.110840}, number={110840}, journal={Automatica}, publisher={Elsevier}, author={Peitz, Sebastian and Bieker, Katharina}, year={2023} }' chicago: Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” Automatica 149 (2023). https://doi.org/10.1016/j.automatica.2022.110840. ieee: 'S. Peitz and K. Bieker, “On the Universal Transformation of Data-Driven Models to Control Systems,” Automatica, vol. 149, Art. no. 110840, 2023, doi: 10.1016/j.automatica.2022.110840.' mla: Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” Automatica, vol. 149, 110840, Elsevier, 2023, doi:10.1016/j.automatica.2022.110840. short: S. Peitz, K. Bieker, Automatica 149 (2023). date_created: 2021-02-10T07:04:15Z date_updated: 2023-01-07T12:01:58Z department: - _id: '101' - _id: '655' doi: 10.1016/j.automatica.2022.110840 intvolume: ' 149' language: - iso: eng main_file_link: - open_access: '1' url: https://www.sciencedirect.com/science/article/pii/S0005109822007075/pdfft?isDTMRedir=true&download=true oa: '1' project: - _id: '52' name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing' publication: Automatica publication_status: published publisher: Elsevier status: public title: On the Universal Transformation of Data-Driven Models to Control Systems type: journal_article user_id: '47427' volume: 149 year: '2023' ... --- _id: '35697' author: - first_name: Laura full_name: Ostsieker, Laura last_name: Ostsieker - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Ostsieker L, Biehler R. Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences. In: Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing; 2023:181-201. doi:10.1007/978-3-031-14175-1_9' apa: 'Ostsieker, L., & Biehler, R. (2023). Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences. In Practice-Oriented Research in Tertiary Mathematics Education (pp. 181–201). Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1_9' bibtex: '@inbook{Ostsieker_Biehler_2023, place={Cham}, title={Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences}, DOI={10.1007/978-3-031-14175-1_9}, booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer International Publishing}, author={Ostsieker, Laura and Biehler, Rolf}, year={2023}, pages={181–201} }' chicago: 'Ostsieker, Laura, and Rolf Biehler. “Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences.” In Practice-Oriented Research in Tertiary Mathematics Education, 181–201. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1_9.' ieee: 'L. Ostsieker and R. Biehler, “Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences,” in Practice-Oriented Research in Tertiary Mathematics Education, Cham: Springer International Publishing, 2023, pp. 181–201.' mla: 'Ostsieker, Laura, and Rolf Biehler. “Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences.” Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, 2023, pp. 181–201, doi:10.1007/978-3-031-14175-1_9.' short: 'L. Ostsieker, R. Biehler, in: Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023, pp. 181–201.' date_created: 2023-01-10T09:03:11Z date_updated: 2023-01-11T08:19:24Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.1007/978-3-031-14175-1_9 language: - iso: eng page: 181-201 place: Cham publication: Practice-Oriented Research in Tertiary Mathematics Education publication_identifier: isbn: - '9783031141744' - '9783031141751' issn: - 1869-4918 - 1869-4926 publication_status: published publisher: Springer International Publishing status: public title: 'Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences' type: book_chapter user_id: '37888' year: '2023' ... --- _id: '35678' author: - first_name: Jörg full_name: Kortemeyer, Jörg last_name: Kortemeyer - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Kortemeyer J, Biehler R. Analyzing the Interface Between Mathematics and Engineering in Basic Engineering Courses. In: Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing; 2023:669-692. doi:10.1007/978-3-031-14175-1_32' apa: Kortemeyer, J., & Biehler, R. (2023). Analyzing the Interface Between Mathematics and Engineering in Basic Engineering Courses. In Practice-Oriented Research in Tertiary Mathematics Education (pp. 669–692). Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1_32 bibtex: '@inbook{Kortemeyer_Biehler_2023, place={Cham}, title={Analyzing the Interface Between Mathematics and Engineering in Basic Engineering Courses}, DOI={10.1007/978-3-031-14175-1_32}, booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer International Publishing}, author={Kortemeyer, Jörg and Biehler, Rolf}, year={2023}, pages={669–692} }' chicago: 'Kortemeyer, Jörg, and Rolf Biehler. “Analyzing the Interface Between Mathematics and Engineering in Basic Engineering Courses.” In Practice-Oriented Research in Tertiary Mathematics Education, 669–92. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1_32.' ieee: 'J. Kortemeyer and R. Biehler, “Analyzing the Interface Between Mathematics and Engineering in Basic Engineering Courses,” in Practice-Oriented Research in Tertiary Mathematics Education, Cham: Springer International Publishing, 2023, pp. 669–692.' mla: Kortemeyer, Jörg, and Rolf Biehler. “Analyzing the Interface Between Mathematics and Engineering in Basic Engineering Courses.” Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, 2023, pp. 669–92, doi:10.1007/978-3-031-14175-1_32. short: 'J. Kortemeyer, R. Biehler, in: Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023, pp. 669–692.' date_created: 2023-01-10T08:53:44Z date_updated: 2023-01-11T08:20:40Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.1007/978-3-031-14175-1_32 language: - iso: eng page: 669-692 place: Cham publication: Practice-Oriented Research in Tertiary Mathematics Education publication_identifier: isbn: - '9783031141744' - '9783031141751' issn: - 1869-4918 - 1869-4926 publication_status: published publisher: Springer International Publishing status: public title: Analyzing the Interface Between Mathematics and Engineering in Basic Engineering Courses type: book_chapter user_id: '37888' year: '2023' ... --- _id: '35669' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Ghislaine full_name: Gueudet, Ghislaine last_name: Gueudet - first_name: Chris full_name: Rasmussen, Chris last_name: Rasmussen - first_name: Carl full_name: Winsløw, Carl last_name: Winsløw citation: ama: 'Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C. Practice-Oriented Research in Tertiary Mathematics Education – An Introduction. In: Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing; 2023. doi:10.1007/978-3-031-14175-1_1' apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., & Winsløw, C. (2023). Practice-Oriented Research in Tertiary Mathematics Education – An Introduction. In Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1_1 bibtex: '@inbook{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham}, title={Practice-Oriented Research in Tertiary Mathematics Education – An Introduction}, DOI={10.1007/978-3-031-14175-1_1}, booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer International Publishing}, author={Biehler, Rolf and Liebendörfer, Michael and Gueudet, Ghislaine and Rasmussen, Chris and Winsløw, Carl}, year={2023} }' chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen, and Carl Winsløw. “Practice-Oriented Research in Tertiary Mathematics Education – An Introduction.” In Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1_1.' ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, “Practice-Oriented Research in Tertiary Mathematics Education – An Introduction,” in Practice-Oriented Research in Tertiary Mathematics Education, Cham: Springer International Publishing, 2023.' mla: Biehler, Rolf, et al. “Practice-Oriented Research in Tertiary Mathematics Education – An Introduction.” Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, 2023, doi:10.1007/978-3-031-14175-1_1. short: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, in: Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023.' date_created: 2023-01-10T08:46:17Z date_updated: 2023-01-11T08:38:52Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.1007/978-3-031-14175-1_1 language: - iso: eng place: Cham publication: Practice-Oriented Research in Tertiary Mathematics Education publication_identifier: isbn: - '9783031141744' - '9783031141751' issn: - 1869-4918 - 1869-4926 publication_status: published publisher: Springer International Publishing status: public title: Practice-Oriented Research in Tertiary Mathematics Education – An Introduction type: book_chapter user_id: '37888' year: '2023' ... --- _id: '35681' author: - first_name: Michael full_name: Liebendörfer, Michael id: '30933' last_name: Liebendörfer orcid: 0000-0001-9887-2074 - first_name: Christiane full_name: Büdenbender-Kuklinski, Christiane last_name: Büdenbender-Kuklinski - first_name: Elisa full_name: Lankeit, Elisa last_name: Lankeit - first_name: Mirko full_name: Schürmann, Mirko id: '59707' last_name: Schürmann orcid: 0000-0003-2646-085X - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Niclas full_name: Schaper, Niclas last_name: Schaper citation: ama: 'Liebendörfer M, Büdenbender-Kuklinski C, Lankeit E, Schürmann M, Biehler R, Schaper N. Framing Goals of Mathematics Support Measures. In: Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing; 2023:91-117. doi:10.1007/978-3-031-14175-1_5' apa: Liebendörfer, M., Büdenbender-Kuklinski, C., Lankeit, E., Schürmann, M., Biehler, R., & Schaper, N. (2023). Framing Goals of Mathematics Support Measures. In Practice-Oriented Research in Tertiary Mathematics Education (pp. 91–117). Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1_5 bibtex: '@inbook{Liebendörfer_Büdenbender-Kuklinski_Lankeit_Schürmann_Biehler_Schaper_2023, place={Cham}, title={Framing Goals of Mathematics Support Measures}, DOI={10.1007/978-3-031-14175-1_5}, booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer International Publishing}, author={Liebendörfer, Michael and Büdenbender-Kuklinski, Christiane and Lankeit, Elisa and Schürmann, Mirko and Biehler, Rolf and Schaper, Niclas}, year={2023}, pages={91–117} }' chicago: 'Liebendörfer, Michael, Christiane Büdenbender-Kuklinski, Elisa Lankeit, Mirko Schürmann, Rolf Biehler, and Niclas Schaper. “Framing Goals of Mathematics Support Measures.” In Practice-Oriented Research in Tertiary Mathematics Education, 91–117. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1_5.' ieee: 'M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R. Biehler, and N. Schaper, “Framing Goals of Mathematics Support Measures,” in Practice-Oriented Research in Tertiary Mathematics Education, Cham: Springer International Publishing, 2023, pp. 91–117.' mla: Liebendörfer, Michael, et al. “Framing Goals of Mathematics Support Measures.” Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, 2023, pp. 91–117, doi:10.1007/978-3-031-14175-1_5. short: 'M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R. Biehler, N. Schaper, in: Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023, pp. 91–117.' date_created: 2023-01-10T08:55:08Z date_updated: 2023-01-17T23:33:06Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' - _id: '423' doi: 10.1007/978-3-031-14175-1_5 language: - iso: eng page: 91-117 place: Cham publication: Practice-Oriented Research in Tertiary Mathematics Education publication_identifier: isbn: - '9783031141744' - '9783031141751' issn: - 1869-4918 - 1869-4926 publication_status: published publisher: Springer International Publishing status: public title: Framing Goals of Mathematics Support Measures type: book_chapter user_id: '14931' year: '2023' ... --- _id: '37469' citation: ama: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing; 2023. doi:10.1007/978-3-031-14175-1 apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., & Winsløw, C. (Eds.). (2023). Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1 bibtex: '@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham}, title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={10.1007/978-3-031-14175-1}, publisher={Springer International Publishing}, year={2023} }' chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen, and Carl Winsløw, eds. Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1.' ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds., Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer International Publishing, 2023.' mla: Biehler, Rolf, et al., editors. Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing, 2023, doi:10.1007/978-3-031-14175-1. short: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds., Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023. date_created: 2023-01-18T22:17:58Z date_updated: 2023-01-18T22:47:41Z department: - _id: '10' doi: 10.1007/978-3-031-14175-1 editor: - first_name: Rolf full_name: Biehler, Rolf last_name: Biehler - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Ghislaine full_name: Gueudet, Ghislaine last_name: Gueudet - first_name: Chris full_name: Rasmussen, Chris last_name: Rasmussen - first_name: Carl full_name: Winsløw, Carl last_name: Winsløw place: Cham publication_identifier: isbn: - '9783031141744' - '9783031141751' issn: - 1869-4918 - 1869-4926 publication_status: published publisher: Springer International Publishing status: public title: Practice-Oriented Research in Tertiary Mathematics Education type: book_editor user_id: '30933' year: '2023' ... --- _id: '36294' author: - first_name: Dominik full_name: Brennecken, Dominik id: '55911' last_name: Brennecken - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler citation: ama: Brennecken D, Rösler M. The Dunkl-Laplace transform and Macdonald’s hypergeometric series. Transaction of the American Mathematical Society. doi:10.1090/tran/8860 apa: Brennecken, D., & Rösler, M. (n.d.). The Dunkl-Laplace transform and Macdonald’s hypergeometric series. Transaction of the American Mathematical Society. https://doi.org/10.1090/tran/8860 bibtex: '@article{Brennecken_Rösler, title={The Dunkl-Laplace transform and Macdonald’s hypergeometric series}, DOI={10.1090/tran/8860}, journal={Transaction of the American Mathematical Society}, publisher={ American Mathematical Society}, author={Brennecken, Dominik and Rösler, Margit} }' chicago: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s Hypergeometric Series.” Transaction of the American Mathematical Society, n.d. https://doi.org/10.1090/tran/8860. ieee: 'D. Brennecken and M. Rösler, “The Dunkl-Laplace transform and Macdonald’s hypergeometric series,” Transaction of the American Mathematical Society, doi: 10.1090/tran/8860.' mla: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s Hypergeometric Series.” Transaction of the American Mathematical Society, American Mathematical Society, doi:10.1090/tran/8860. short: D. Brennecken, M. Rösler, Transaction of the American Mathematical Society (n.d.). date_created: 2023-01-12T08:32:44Z date_updated: 2023-01-24T22:14:22Z department: - _id: '555' doi: 10.1090/tran/8860 language: - iso: eng publication: Transaction of the American Mathematical Society publication_status: inpress publisher: ' American Mathematical Society' status: public title: The Dunkl-Laplace transform and Macdonald’s hypergeometric series type: journal_article user_id: '37390' year: '2023' ... --- _id: '34814' article_type: original author: - first_name: Maximilian full_name: Hanusch, Maximilian id: '30905' last_name: Hanusch citation: ama: Hanusch M. A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus. Canadian Journal of Mathematics. 2023;75(1):170-201. doi:10.4153/s0008414x21000596 apa: Hanusch, M. (2023). A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus. Canadian Journal of Mathematics, 75(1), 170–201. https://doi.org/10.4153/s0008414x21000596 bibtex: '@article{Hanusch_2023, title={A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus}, volume={75}, DOI={10.4153/s0008414x21000596}, number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical Society}, author={Hanusch, Maximilian}, year={2023}, pages={170–201} }' chicago: 'Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential Calculus.” Canadian Journal of Mathematics 75, no. 1 (2023): 170–201. https://doi.org/10.4153/s0008414x21000596.' ieee: 'M. Hanusch, “A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus,” Canadian Journal of Mathematics, vol. 75, no. 1, pp. 170–201, 2023, doi: 10.4153/s0008414x21000596.' mla: Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential Calculus.” Canadian Journal of Mathematics, vol. 75, no. 1, Canadian Mathematical Society, 2023, pp. 170–201, doi:10.4153/s0008414x21000596. short: M. Hanusch, Canadian Journal of Mathematics 75 (2023) 170–201. date_created: 2022-12-22T09:16:48Z date_updated: 2023-02-22T11:38:32Z department: - _id: '93' doi: 10.4153/s0008414x21000596 intvolume: ' 75' issue: '1' keyword: - extension of differentiable maps language: - iso: eng page: 170-201 project: - _id: '161' name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)' publication: Canadian Journal of Mathematics publication_identifier: issn: - 0008-414X - 1496-4279 publication_status: published publisher: Canadian Mathematical Society status: public title: A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus type: journal_article user_id: '30905' volume: 75 year: '2023' ... --- _id: '27426' abstract: - lang: eng text: "Regularization is used in many different areas of optimization when solutions\r\nare sought which not only minimize a given function, but also possess a certain\r\ndegree of regularity. Popular applications are image denoising, sparse\r\nregression and machine learning. Since the choice of the regularization\r\nparameter is crucial but often difficult, path-following methods are used to\r\napproximate the entire regularization path, i.e., the set of all possible\r\nsolutions for all regularization parameters. Due to their nature, the\r\ndevelopment of these methods requires structural results about the\r\nregularization path. The goal of this article is to derive these results for\r\nthe case of a smooth objective function which is penalized by a piecewise\r\ndifferentiable regularization term. We do this by treating regularization as a\r\nmultiobjective optimization problem. Our results suggest that even in this\r\ngeneral case, the regularization path is piecewise smooth. Moreover, our theory\r\nallows for a classification of the nonsmooth features that occur in between\r\nsmooth parts. This is demonstrated in two applications, namely support-vector\r\nmachines and exact penalty methods." author: - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken - first_name: Katharina full_name: Bieker, Katharina id: '32829' last_name: Bieker - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X citation: ama: Gebken B, Bieker K, Peitz S. On the structure of regularization paths for piecewise differentiable regularization terms. Journal of Global Optimization. 2023;85(3):709-741. doi:10.1007/s10898-022-01223-2 apa: Gebken, B., Bieker, K., & Peitz, S. (2023). On the structure of regularization paths for piecewise differentiable regularization terms. Journal of Global Optimization, 85(3), 709–741. https://doi.org/10.1007/s10898-022-01223-2 bibtex: '@article{Gebken_Bieker_Peitz_2023, title={On the structure of regularization paths for piecewise differentiable regularization terms}, volume={85}, DOI={10.1007/s10898-022-01223-2}, number={3}, journal={Journal of Global Optimization}, author={Gebken, Bennet and Bieker, Katharina and Peitz, Sebastian}, year={2023}, pages={709–741} }' chicago: 'Gebken, Bennet, Katharina Bieker, and Sebastian Peitz. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal of Global Optimization 85, no. 3 (2023): 709–41. https://doi.org/10.1007/s10898-022-01223-2.' ieee: 'B. Gebken, K. Bieker, and S. Peitz, “On the structure of regularization paths for piecewise differentiable regularization terms,” Journal of Global Optimization, vol. 85, no. 3, pp. 709–741, 2023, doi: 10.1007/s10898-022-01223-2.' mla: Gebken, Bennet, et al. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal of Global Optimization, vol. 85, no. 3, 2023, pp. 709–41, doi:10.1007/s10898-022-01223-2. short: B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization 85 (2023) 709–741. date_created: 2021-11-15T09:24:59Z date_updated: 2023-03-11T17:16:33Z department: - _id: '101' - _id: '655' doi: 10.1007/s10898-022-01223-2 intvolume: ' 85' issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://link.springer.com/content/pdf/10.1007/s10898-022-01223-2.pdf oa: '1' page: 709-741 publication: Journal of Global Optimization status: public title: On the structure of regularization paths for piecewise differentiable regularization terms type: journal_article user_id: '47427' volume: 85 year: '2023' ... --- _id: '31849' author: - first_name: Max full_name: Hoffmann, Max id: '32202' last_name: Hoffmann orcid: 0000-0002-6964-7123 - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Hoffmann M, Biehler R. Student Teachers ’ Knowledge of Congruence before a University Course on Geometry. In: Trigueros M, Barquero B, Hochmuth R, Peters J, eds. Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022). University of Hannover and INDRUM.; 2023.' apa: Hoffmann, M., & Biehler, R. (2023). Student Teachers ’ Knowledge of Congruence before a University Course on Geometry. In M. Trigueros, B. Barquero, R. Hochmuth, & J. Peters (Eds.), Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022). University of Hannover and INDRUM. bibtex: '@inproceedings{Hoffmann_Biehler_2023, place={Hannover}, title={Student Teachers ’ Knowledge of Congruence before a University Course on Geometry}, booktitle={Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)}, publisher={University of Hannover and INDRUM.}, author={Hoffmann, Max and Biehler, Rolf}, editor={Trigueros, Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023} }' chicago: 'Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence before a University Course on Geometry.” In Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022), edited by Marı́a Trigueros, Berta Barquero, Reinhard Hochmuth, and Jana Peters. Hannover: University of Hannover and INDRUM., 2023.' ieee: M. Hoffmann and R. Biehler, “Student Teachers ’ Knowledge of Congruence before a University Course on Geometry,” in Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022), 2023. mla: Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence before a University Course on Geometry.” Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022), edited by Marı́a Trigueros et al., University of Hannover and INDRUM., 2023. short: 'M. Hoffmann, R. Biehler, in: M. Trigueros, B. Barquero, R. Hochmuth, J. Peters (Eds.), Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022), University of Hannover and INDRUM., Hannover, 2023.' date_created: 2022-06-12T11:07:34Z date_updated: 2023-03-25T10:11:35Z ddc: - '370' - '510' department: - _id: '97' editor: - first_name: Marı́a full_name: Trigueros, Marı́a last_name: Trigueros - first_name: Berta full_name: Barquero, Berta last_name: Barquero - first_name: Reinhard full_name: Hochmuth, Reinhard last_name: Hochmuth - first_name: Jana full_name: Peters, Jana last_name: Peters file: - access_level: closed content_type: application/pdf creator: maxh date_created: 2023-03-25T10:01:03Z date_updated: 2023-03-25T10:01:03Z file_id: '43096' file_name: HoffmannBiehler2022_indrum_congruence.pdf file_size: 201942 relation: main_file success: 1 file_date_updated: 2023-03-25T10:01:03Z has_accepted_license: '1' keyword: - Teaching and learning of specific topics in university mathematics - Transition to - across and from university mathematics - Student Teachers - Geometry - Congruence - Double Discontinuity. language: - iso: eng main_file_link: - open_access: '1' url: https://hal.univ-reims.fr/INDRUM2022/ oa: '1' place: Hannover publication: Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022) publication_status: published publisher: University of Hannover and INDRUM. quality_controlled: '1' status: public title: Student Teachers ’ Knowledge of Congruence before a University Course on Geometry type: conference user_id: '32202' year: '2023' ... --- _id: '43097' author: - first_name: Ignasio full_name: Florensa, Ignasio last_name: Florensa - first_name: Max full_name: Hoffmann, Max id: '32202' last_name: Hoffmann orcid: 0000-0002-6964-7123 - first_name: Avenilde full_name: Romo Vázquez, Avenilde last_name: Romo Vázquez - first_name: Michelle full_name: Zandieh, Michelle last_name: Zandieh - first_name: Rafael full_name: Martínez-Planell, Rafael last_name: Martínez-Planell citation: ama: 'Florensa I, Hoffmann M, Romo Vázquez A, Zandieh M, Martínez-Planell R. Innovations in university teaching based on mathematic education research. In: Trigueros M, Barquero B, Hochmuth R, Peters J, eds. Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022). ; 2023.' apa: Florensa, I., Hoffmann, M., Romo Vázquez, A., Zandieh, M., & Martínez-Planell, R. (2023). Innovations in university teaching based on mathematic education research. In M. Trigueros, B. Barquero, R. Hochmuth, & J. Peters (Eds.), Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022). bibtex: '@inproceedings{Florensa_Hoffmann_Romo Vázquez_Zandieh_Martínez-Planell_2023, place={Hannover}, title={Innovations in university teaching based on mathematic education research}, booktitle={Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)}, author={Florensa, Ignasio and Hoffmann, Max and Romo Vázquez, Avenilde and Zandieh, Michelle and Martínez-Planell, Rafael}, editor={Trigueros, Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023} }' chicago: Florensa, Ignasio, Max Hoffmann, Avenilde Romo Vázquez, Michelle Zandieh, and Rafael Martínez-Planell. “Innovations in University Teaching Based on Mathematic Education Research.” In Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022), edited by Marı́a Trigueros, Berta Barquero, Reinhard Hochmuth, and Jana Peters. Hannover, 2023. ieee: I. Florensa, M. Hoffmann, A. Romo Vázquez, M. Zandieh, and R. Martínez-Planell, “Innovations in university teaching based on mathematic education research,” in Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022), 2023. mla: Florensa, Ignasio, et al. “Innovations in University Teaching Based on Mathematic Education Research.” Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022), edited by Marı́a Trigueros et al., 2023. short: 'I. Florensa, M. Hoffmann, A. Romo Vázquez, M. Zandieh, R. Martínez-Planell, in: M. Trigueros, B. Barquero, R. Hochmuth, J. Peters (Eds.), Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022), Hannover, 2023.' date_created: 2023-03-25T10:09:06Z date_updated: 2023-03-25T10:10:58Z ddc: - '370' - '510' department: - _id: '97' editor: - first_name: Marı́a full_name: Trigueros, Marı́a last_name: Trigueros - first_name: Berta full_name: Barquero, Berta last_name: Barquero - first_name: Reinhard full_name: Hochmuth, Reinhard last_name: Hochmuth - first_name: Jana full_name: Peters, Jana last_name: Peters file: - access_level: closed content_type: application/pdf creator: maxh date_created: 2023-03-25T10:07:54Z date_updated: 2023-03-25T10:07:54Z file_id: '43098' file_name: 2022_FlorensaEtAl_indrum_panelInnovations.pdf file_size: 642388 relation: main_file success: 1 file_date_updated: 2023-03-25T10:07:54Z has_accepted_license: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://hal.univ-reims.fr/INDRUM2022/ oa: '1' place: Hannover publication: Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022) quality_controlled: '1' status: public title: Innovations in university teaching based on mathematic education research type: conference user_id: '32202' year: '2023' ... --- _id: '43504' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Michael full_name: Liebendörfer, Michael id: '30933' last_name: Liebendörfer orcid: 0000-0001-9887-2074 - first_name: A. full_name: Schmitz, A. last_name: Schmitz citation: ama: Biehler R, Liebendörfer M, Schmitz A. Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos. Mitteilungen der Gesellschaft für Didaktik der Mathematik. 2023;114:8-12. apa: Biehler, R., Liebendörfer, M., & Schmitz, A. (2023). Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos. Mitteilungen der Gesellschaft für Didaktik der Mathematik, 114, 8–12. bibtex: '@article{Biehler_Liebendörfer_Schmitz_2023, title={Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos}, volume={114}, journal={Mitteilungen der Gesellschaft für Didaktik der Mathematik}, author={Biehler, Rolf and Liebendörfer, Michael and Schmitz, A.}, year={2023}, pages={8–12} }' chicago: 'Biehler, Rolf, Michael Liebendörfer, and A. Schmitz. “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos.” Mitteilungen der Gesellschaft für Didaktik der Mathematik 114 (2023): 8–12.' ieee: R. Biehler, M. Liebendörfer, and A. Schmitz, “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos,” Mitteilungen der Gesellschaft für Didaktik der Mathematik, vol. 114, pp. 8–12, 2023. mla: Biehler, Rolf, et al. “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos.” Mitteilungen der Gesellschaft für Didaktik der Mathematik, vol. 114, 2023, pp. 8–12. short: R. Biehler, M. Liebendörfer, A. Schmitz, Mitteilungen der Gesellschaft für Didaktik der Mathematik 114 (2023) 8–12. date_created: 2023-04-14T09:25:18Z date_updated: 2023-04-14T09:25:27Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' intvolume: ' 114' language: - iso: ger page: 8-12 publication: Mitteilungen der Gesellschaft für Didaktik der Mathematik status: public title: Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos type: journal_article user_id: '37888' volume: 114 year: '2023' ... --- _id: '43105' article_number: '103868' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 - first_name: Mario full_name: Fuest, Mario last_name: Fuest - first_name: Johannes full_name: Lankeit, Johannes last_name: Lankeit - first_name: Masaaki full_name: Mizukami, Masaaki last_name: Mizukami citation: ama: 'Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868' apa: 'Black, T., Fuest, M., Lankeit, J., & Mizukami, M. (2023). Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications, 73, Article 103868. https://doi.org/10.1016/j.nonrwa.2023.103868' bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source}, volume={73}, DOI={10.1016/j.nonrwa.2023.103868}, number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami, Masaaki}, year={2023} }' chicago: 'Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications 73 (2023). https://doi.org/10.1016/j.nonrwa.2023.103868.' ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source,” Nonlinear Analysis: Real World Applications, vol. 73, Art. no. 103868, 2023, doi: 10.1016/j.nonrwa.2023.103868.' mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications, vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.' short: 'T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World Applications 73 (2023).' date_created: 2023-03-27T07:25:58Z date_updated: 2023-03-27T07:27:03Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1016/j.nonrwa.2023.103868 intvolume: ' 73' keyword: - Applied Mathematics - Computational Mathematics - General Economics - Econometrics and Finance - General Engineering - General Medicine - Analysis language: - iso: eng publication: 'Nonlinear Analysis: Real World Applications' publication_identifier: issn: - 1468-1218 publication_status: published publisher: Elsevier BV status: public title: Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source type: journal_article user_id: '23686' volume: 73 year: '2023' ... --- _id: '43227' author: - first_name: Vivian full_name: Vitt, Vivian last_name: Vitt - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide citation: ama: 'Vitt V, Häsel-Weide U. Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten beim Mathematiklernen. In: Mathematica Didactica, 46. ; 2023. doi:https://doi.org/10.18716/ojs/md/2023.1671' apa: Vitt, V., & Häsel-Weide, U. (2023). Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten beim Mathematiklernen. In Mathematica Didactica, 46. https://doi.org/10.18716/ojs/md/2023.1671 bibtex: '@inbook{Vitt_Häsel-Weide_2023, title={Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten beim Mathematiklernen.}, DOI={https://doi.org/10.18716/ojs/md/2023.1671}, booktitle={Mathematica Didactica, 46}, author={Vitt, Vivian and Häsel-Weide, Uta}, year={2023} }' chicago: Vitt, Vivian, and Uta Häsel-Weide. “Reziprokes Peer-Tutoring Zur Förderung von Schüler*innen Mit Schwierigkeiten Beim Mathematiklernen.” In Mathematica Didactica, 46, 2023. https://doi.org/10.18716/ojs/md/2023.1671. ieee: V. Vitt and U. Häsel-Weide, “Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten beim Mathematiklernen.,” in Mathematica Didactica, 46, 2023. mla: Vitt, Vivian, and Uta Häsel-Weide. “Reziprokes Peer-Tutoring Zur Förderung von Schüler*innen Mit Schwierigkeiten Beim Mathematiklernen.” Mathematica Didactica, 46, 2023, doi:https://doi.org/10.18716/ojs/md/2023.1671. short: 'V. Vitt, U. Häsel-Weide, in: Mathematica Didactica, 46, 2023.' date_created: 2023-03-30T10:06:24Z date_updated: 2023-03-30T10:06:53Z department: - _id: '543' doi: https://doi.org/10.18716/ojs/md/2023.1671 language: - iso: eng publication: Mathematica Didactica, 46 status: public title: Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten beim Mathematiklernen. type: book_chapter user_id: '44184' year: '2023' ... --- _id: '43226' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: M. full_name: Nührenbörger, M. last_name: Nührenbörger citation: ama: 'Häsel-Weide U, Nührenbörger M. Inklusive Praktiken unterrichtsintegrierter Förderung im Mathematikunterricht. In: Mathematica Didactica, 46. ; 2023. doi:https://doi.org/10.18716/ojs/md/2023.1670' apa: Häsel-Weide, U., & Nührenbörger, M. (2023). Inklusive Praktiken unterrichtsintegrierter Förderung im Mathematikunterricht. In Mathematica Didactica, 46. https://doi.org/10.18716/ojs/md/2023.1670 bibtex: '@inbook{Häsel-Weide_Nührenbörger_2023, title={Inklusive Praktiken unterrichtsintegrierter Förderung im Mathematikunterricht.}, DOI={https://doi.org/10.18716/ojs/md/2023.1670}, booktitle={Mathematica Didactica, 46}, author={Häsel-Weide, Uta and Nührenbörger, M.}, year={2023} }' chicago: Häsel-Weide, Uta, and M. Nührenbörger. “Inklusive Praktiken Unterrichtsintegrierter Förderung Im Mathematikunterricht.” In Mathematica Didactica, 46, 2023. https://doi.org/10.18716/ojs/md/2023.1670. ieee: U. Häsel-Weide and M. Nührenbörger, “Inklusive Praktiken unterrichtsintegrierter Förderung im Mathematikunterricht.,” in Mathematica Didactica, 46, 2023. mla: Häsel-Weide, Uta, and M. Nührenbörger. “Inklusive Praktiken Unterrichtsintegrierter Förderung Im Mathematikunterricht.” Mathematica Didactica, 46, 2023, doi:https://doi.org/10.18716/ojs/md/2023.1670. short: 'U. Häsel-Weide, M. Nührenbörger, in: Mathematica Didactica, 46, 2023.' date_created: 2023-03-30T10:04:31Z date_updated: 2023-03-30T10:06:49Z department: - _id: '543' doi: https://doi.org/10.18716/ojs/md/2023.1670 language: - iso: eng publication: Mathematica Didactica, 46 status: public title: Inklusive Praktiken unterrichtsintegrierter Förderung im Mathematikunterricht. type: book_chapter user_id: '44184' year: '2023' ... --- _id: '34832' author: - first_name: Maximilian full_name: Hanusch, Maximilian id: '30905' last_name: Hanusch citation: ama: Hanusch M. The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups. Annals of Global Analysis and Geometry. 2023;63(21). doi:10.1007/s10455-023-09888-y apa: Hanusch, M. (2023). The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups. Annals of Global Analysis and Geometry, 63(21). https://doi.org/10.1007/s10455-023-09888-y bibtex: '@article{Hanusch_2023, title={The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups}, volume={63}, DOI={10.1007/s10455-023-09888-y}, number={21}, journal={Annals of Global Analysis and Geometry}, author={Hanusch, Maximilian}, year={2023} }' chicago: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups.” Annals of Global Analysis and Geometry 63, no. 21 (2023). https://doi.org/10.1007/s10455-023-09888-y. ieee: 'M. Hanusch, “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups,” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023, doi: 10.1007/s10455-023-09888-y.' mla: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups.” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023, doi:10.1007/s10455-023-09888-y. short: M. Hanusch, Annals of Global Analysis and Geometry 63 (2023). date_created: 2022-12-22T09:45:34Z date_updated: 2023-04-05T18:18:24Z department: - _id: '93' doi: 10.1007/s10455-023-09888-y intvolume: ' 63' issue: '21' keyword: - Lax equation - generalized Baker-Campbell-Dynkin-Hausdorff formula - regularity of Lie groups language: - iso: eng project: - _id: '161' name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)' publication: Annals of Global Analysis and Geometry publication_status: published status: public title: The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups type: journal_article user_id: '30905' volume: 63 year: '2023' ... --- _id: '44501' abstract: - lang: eng text: "Extending the notion of maxcut, the study of the frustration index of signed graphs is one of the basic questions in the theory of signed graphs. Recently two of the authors initiated the study of critically frustrated signed graphs. That is a signed graph whose frustration index decreases with the removal of any edge. The main focus of this study is on critical signed graphs which are not edge-disjoint unions of critically frustrated signed graphs (namely non-decomposable signed graphs) and which are not built from other critically frustrated signed graphs by subdivision. We conjecture that for any given k there are only finitely many critically k-frustrated signed graphs of this kind.\r\nProviding support for this conjecture we show that there are only two of such critically 3-frustrated signed graphs where there is no pair of edge-disjoint negative cycles. Similarly, we show that there are exactly ten critically 3-frustrated signed planar graphs that are neither decomposable nor subdivisions of other critically frustrated signed graphs. We present a method for building non-decomposable critically frustrated signed graphs based on two given such signed graphs. We also show that the condition of being non-decomposable is necessary for our conjecture. " author: - first_name: Chiara full_name: Cappello, Chiara id: '72874' last_name: Cappello - first_name: Reza full_name: Naserasr, Reza last_name: Naserasr - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Zhouningxin full_name: Wang, Zhouningxin last_name: Wang citation: ama: Cappello C, Naserasr R, Steffen E, Wang Z. Critically 3-frustrated signed graphs. arXiv:230410243. Published online 2023. apa: Cappello, C., Naserasr, R., Steffen, E., & Wang, Z. (2023). Critically 3-frustrated signed graphs. In arXiv:2304.10243. bibtex: '@article{Cappello_Naserasr_Steffen_Wang_2023, title={Critically 3-frustrated signed graphs}, journal={arXiv:2304.10243}, author={Cappello, Chiara and Naserasr, Reza and Steffen, Eckhard and Wang, Zhouningxin}, year={2023} }' chicago: Cappello, Chiara, Reza Naserasr, Eckhard Steffen, and Zhouningxin Wang. “Critically 3-Frustrated Signed Graphs.” ArXiv:2304.10243, 2023. ieee: C. Cappello, R. Naserasr, E. Steffen, and Z. Wang, “Critically 3-frustrated signed graphs,” arXiv:2304.10243. 2023. mla: Cappello, Chiara, et al. “Critically 3-Frustrated Signed Graphs.” ArXiv:2304.10243, 2023. short: C. Cappello, R. Naserasr, E. Steffen, Z. Wang, ArXiv:2304.10243 (2023). date_created: 2023-05-05T06:52:39Z date_updated: 2023-05-05T06:53:47Z department: - _id: '542' external_id: arxiv: - '2304.10243' language: - iso: eng publication: arXiv:2304.10243 status: public title: Critically 3-frustrated signed graphs type: preprint user_id: '15540' year: '2023' ... --- _id: '44857' abstract: - lang: eng text: Ancestral reconstruction is a classic task in comparative genomics. Here, we study the genome median problem, a related computational problem which, given a set of three or more genomes, asks to find a new genome that minimizes the sum of pairwise distances between it and the given genomes. The distance stands for the amount of evolution observed at the genome level, for which we determine the minimum number of rearrangement operations necessary to transform one genome into the other. For almost all rearrangement operations the median problem is NP-hard, with the exception of the breakpoint median that can be constructed efficiently for multichromosomal circular and mixed genomes. In this work, we study the median problem under a restricted rearrangement measure called c4-distance, which is closely related to the breakpoint and the DCJ distance. We identify tight bounds and decomposers of the c4-median and develop algorithms for its construction, one exact ILP-based and three combinatorial heuristics. Subsequently, we perform experiments on simulated data sets. Our results suggest that the c4-distance is useful for the study the genome median problem, from theoretical and practical perspectives. author: - first_name: Helmuth O.M. full_name: Silva, Helmuth O.M. last_name: Silva - first_name: Diego P. full_name: Rubert, Diego P. last_name: Rubert - first_name: Eloi full_name: Araujo, Eloi last_name: Araujo - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Daniel full_name: Doerr, Daniel last_name: Doerr - first_name: Fábio V. full_name: Martinez, Fábio V. last_name: Martinez citation: ama: Silva HOM, Rubert DP, Araujo E, Steffen E, Doerr D, Martinez FV. Algorithms for the genome median under a restricted measure of rearrangement. RAIRO - Operations Research. 2023;57(3):1045-1058. doi:10.1051/ro/2023052 apa: Silva, H. O. M., Rubert, D. P., Araujo, E., Steffen, E., Doerr, D., & Martinez, F. V. (2023). Algorithms for the genome median under a restricted measure of rearrangement. RAIRO - Operations Research, 57(3), 1045–1058. https://doi.org/10.1051/ro/2023052 bibtex: '@article{Silva_Rubert_Araujo_Steffen_Doerr_Martinez_2023, title={Algorithms for the genome median under a restricted measure of rearrangement}, volume={57}, DOI={10.1051/ro/2023052}, number={3}, journal={RAIRO - Operations Research}, publisher={EDP Sciences}, author={Silva, Helmuth O.M. and Rubert, Diego P. and Araujo, Eloi and Steffen, Eckhard and Doerr, Daniel and Martinez, Fábio V.}, year={2023}, pages={1045–1058} }' chicago: 'Silva, Helmuth O.M., Diego P. Rubert, Eloi Araujo, Eckhard Steffen, Daniel Doerr, and Fábio V. Martinez. “Algorithms for the Genome Median under a Restricted Measure of Rearrangement.” RAIRO - Operations Research 57, no. 3 (2023): 1045–58. https://doi.org/10.1051/ro/2023052.' ieee: 'H. O. M. Silva, D. P. Rubert, E. Araujo, E. Steffen, D. Doerr, and F. V. Martinez, “Algorithms for the genome median under a restricted measure of rearrangement,” RAIRO - Operations Research, vol. 57, no. 3, pp. 1045–1058, 2023, doi: 10.1051/ro/2023052.' mla: Silva, Helmuth O. M., et al. “Algorithms for the Genome Median under a Restricted Measure of Rearrangement.” RAIRO - Operations Research, vol. 57, no. 3, EDP Sciences, 2023, pp. 1045–58, doi:10.1051/ro/2023052. short: H.O.M. Silva, D.P. Rubert, E. Araujo, E. Steffen, D. Doerr, F.V. Martinez, RAIRO - Operations Research 57 (2023) 1045–1058. date_created: 2023-05-16T08:48:22Z date_updated: 2023-05-16T08:49:30Z department: - _id: '542' doi: 10.1051/ro/2023052 intvolume: ' 57' issue: '3' keyword: - Management Science and Operations Research - Computer Science Applications - Theoretical Computer Science language: - iso: eng page: 1045-1058 publication: RAIRO - Operations Research publication_identifier: issn: - 0399-0559 - 2804-7303 publication_status: published publisher: EDP Sciences status: public title: Algorithms for the genome median under a restricted measure of rearrangement type: journal_article user_id: '15540' volume: 57 year: '2023' ... --- _id: '44859' author: - first_name: Yulai full_name: Ma, Yulai id: '92748' last_name: Ma - first_name: Davide full_name: Mattiolo, Davide last_name: Mattiolo - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Isaak Hieronymus full_name: Wolf, Isaak Hieronymus id: '88145' last_name: Wolf citation: ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Sets of r-graphs that color all r-graphs. arXiv:230508619. Published online 2023. apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2023). Sets of r-graphs that color all r-graphs. In arXiv:2305.08619. bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2023, title={Sets of r-graphs that color all r-graphs}, journal={arXiv:2305.08619}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023} }' chicago: Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf. “Sets of R-Graphs That Color All r-Graphs.” ArXiv:2305.08619, 2023. ieee: Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Sets of r-graphs that color all r-graphs,” arXiv:2305.08619. 2023. mla: Ma, Yulai, et al. “Sets of R-Graphs That Color All r-Graphs.” ArXiv:2305.08619, 2023. short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, ArXiv:2305.08619 (2023). date_created: 2023-05-16T10:07:47Z date_updated: 2023-05-16T11:17:26Z department: - _id: '542' external_id: arxiv: - '2305.08619' language: - iso: eng publication: arXiv:2305.08619 status: public title: Sets of r-graphs that color all r-graphs type: preprint user_id: '15540' year: '2023' ... --- _id: '34833' author: - first_name: Maximilian full_name: Hanusch, Maximilian id: '30905' last_name: Hanusch citation: ama: Hanusch M. Decompositions of Analytic 1-Manifolds. Indagationes Mathematicae. 2023;34(4):752-811. doi:10.1016/j.indag.2023.02.003 apa: Hanusch, M. (2023). Decompositions of Analytic 1-Manifolds. Indagationes Mathematicae., 34(4), 752–811. https://doi.org/10.1016/j.indag.2023.02.003 bibtex: '@article{Hanusch_2023, title={Decompositions of Analytic 1-Manifolds}, volume={34}, DOI={10.1016/j.indag.2023.02.003}, number={4}, journal={Indagationes Mathematicae.}, author={Hanusch, Maximilian}, year={2023}, pages={752–811} }' chicago: 'Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes Mathematicae. 34, no. 4 (2023): 752–811. https://doi.org/10.1016/j.indag.2023.02.003.' ieee: 'M. Hanusch, “Decompositions of Analytic 1-Manifolds,” Indagationes Mathematicae., vol. 34, no. 4, pp. 752–811, 2023, doi: 10.1016/j.indag.2023.02.003.' mla: Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes Mathematicae., vol. 34, no. 4, 2023, pp. 752–811, doi:10.1016/j.indag.2023.02.003. short: M. Hanusch, Indagationes Mathematicae. 34 (2023) 752–811. date_created: 2022-12-22T09:46:36Z date_updated: 2023-05-25T07:32:38Z department: - _id: '93' doi: 10.1016/j.indag.2023.02.003 intvolume: ' 34' issue: '4' keyword: - Lie group actions and analytic 1-submanifolds language: - iso: eng page: 752-811 publication: Indagationes Mathematicae. publication_status: published status: public title: Decompositions of Analytic 1-Manifolds type: journal_article user_id: '30905' volume: 34 year: '2023' ... --- _id: '45498' abstract: - lang: eng text: "We present a novel method for high-order phase reduction in networks of\r\nweakly coupled oscillators and, more generally, perturbations of reducible\r\nnormally hyperbolic (quasi-)periodic tori. Our method works by computing an\r\nasymptotic expansion for an embedding of the perturbed invariant torus, as well\r\nas for the reduced phase dynamics in local coordinates. Both can be determined\r\nto arbitrary degrees of accuracy, and we show that the phase dynamics may\r\ndirectly be obtained in normal form. We apply the method to predict remote\r\nsynchronisation in a chain of coupled Stuart-Landau oscillators." author: - first_name: Sören full_name: von der Gracht, Sören id: '97359' last_name: von der Gracht orcid: 0000-0002-8054-2058 - first_name: Eddie full_name: Nijholt, Eddie last_name: Nijholt - first_name: Bob full_name: Rink, Bob last_name: Rink citation: ama: von der Gracht S, Nijholt E, Rink B. A parametrisation method for high-order phase reduction in coupled  oscillator networks. arXiv:230603320. apa: von der Gracht, S., Nijholt, E., & Rink, B. (n.d.). A parametrisation method for high-order phase reduction in coupled  oscillator networks. In arXiv:2306.03320. bibtex: '@article{von der Gracht_Nijholt_Rink, title={A parametrisation method for high-order phase reduction in coupled  oscillator networks}, journal={arXiv:2306.03320}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob} }' chicago: Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “A Parametrisation Method for High-Order Phase Reduction in Coupled  Oscillator Networks.” ArXiv:2306.03320, n.d. ieee: S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for high-order phase reduction in coupled  oscillator networks,” arXiv:2306.03320. . mla: von der Gracht, Sören, et al. “A Parametrisation Method for High-Order Phase Reduction in Coupled  Oscillator Networks.” ArXiv:2306.03320. short: S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.). date_created: 2023-06-07T07:57:28Z date_updated: 2023-06-07T07:59:06Z department: - _id: '101' external_id: arxiv: - '2306.03320' language: - iso: eng main_file_link: - url: https://arxiv.org/pdf/2306.03320 page: '29' publication: arXiv:2306.03320 publication_status: submitted status: public title: A parametrisation method for high-order phase reduction in coupled oscillator networks type: preprint user_id: '97359' year: '2023' ... --- _id: '45712' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide citation: ama: Häsel-Weide U. Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen, Wegen und Lernsituationen. Die Grundschulzeitschrift. 2023;(339):6-11. apa: Häsel-Weide, U. (2023). Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen, Wegen und Lernsituationen. Die Grundschulzeitschrift, 339, 6–11. bibtex: '@article{Häsel-Weide_2023, title={ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen, Wegen und Lernsituationen}, number={339}, journal={Die Grundschulzeitschrift}, publisher={Friedrich Verlag}, author={Häsel-Weide, Uta}, year={2023}, pages={6–11} }' chicago: 'Häsel-Weide, Uta. “ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen, Wegen und Lernsituationen.” Die Grundschulzeitschrift, no. 339 (2023): 6–11.' ieee: U. Häsel-Weide, “ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen, Wegen und Lernsituationen,” Die Grundschulzeitschrift, no. 339, pp. 6–11, 2023. mla: Häsel-Weide, Uta. “ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen, Wegen und Lernsituationen.” Die Grundschulzeitschrift, no. 339, Friedrich Verlag, 2023, pp. 6–11. short: U. Häsel-Weide, Die Grundschulzeitschrift (2023) 6–11. date_created: 2023-06-22T09:28:22Z date_updated: 2023-06-22T09:34:13Z department: - _id: '543' issue: '339' language: - iso: ger page: 6-11 publication: Die Grundschulzeitschrift publisher: Friedrich Verlag related_material: link: - relation: other url: https://www.friedrich-verlag.de/grundschule/die-grundschulzeitschrift/mathematikunterricht-inklusiv-5991 status: public title: ' Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen, Wegen und Lernsituationen' type: journal_article user_id: '44184' year: '2023' ... --- _id: '45713' author: - first_name: Lara Marie full_name: Graf, Lara Marie id: '89837' last_name: Graf - first_name: Inga full_name: Wienhues, Inga id: '61635' last_name: Wienhues - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide citation: ama: Graf LM, Wienhues I, Häsel-Weide U. Addition und Subtraktion verstehen. Die Grundschulzeitschrift. 2023;(339):20-23. apa: Graf, L. M., Wienhues, I., & Häsel-Weide, U. (2023). Addition und Subtraktion verstehen. Die Grundschulzeitschrift, 339, 20–23. bibtex: '@article{Graf_Wienhues_Häsel-Weide_2023, title={Addition und Subtraktion verstehen}, number={339}, journal={Die Grundschulzeitschrift}, publisher={Friedrich Verlag}, author={Graf, Lara Marie and Wienhues, Inga and Häsel-Weide, Uta}, year={2023}, pages={20–23} }' chicago: 'Graf, Lara Marie, Inga Wienhues, and Uta Häsel-Weide. “Addition und Subtraktion verstehen.” Die Grundschulzeitschrift, no. 339 (2023): 20–23.' ieee: L. M. Graf, I. Wienhues, and U. Häsel-Weide, “Addition und Subtraktion verstehen,” Die Grundschulzeitschrift, no. 339, pp. 20–23, 2023. mla: Graf, Lara Marie, et al. “Addition und Subtraktion verstehen.” Die Grundschulzeitschrift, no. 339, Friedrich Verlag, 2023, pp. 20–23. short: L.M. Graf, I. Wienhues, U. Häsel-Weide, Die Grundschulzeitschrift (2023) 20–23. date_created: 2023-06-22T09:33:59Z date_updated: 2023-06-22T09:34:18Z department: - _id: '543' issue: '339' language: - iso: ger page: 20-23 publication: Die Grundschulzeitschrift publisher: Friedrich Verlag related_material: link: - relation: other url: https://www.friedrich-verlag.de/grundschule/die-grundschulzeitschrift/mathematikunterricht-inklusiv-5991 status: public title: Addition und Subtraktion verstehen type: journal_article user_id: '44184' year: '2023' ... --- _id: '45786' abstract: - lang: eng text: Intending to counteract Klein’s second discontinuity in teacher education, we explored and applied the innovation of “interface ePortfolio” in the context of a geometry course for preservice teachers (PSTs). The tool offers the possibility of implementing the design principle of profession orientation. In the article, we theoretically clarify what we understand by this principle and locate our innovative concept against this theoretical background. We empirically investigate the extent to which counteraction against the second discontinuity is successful by analyzing reflection texts created in the interface ePortfolio, focusing on PSTs’ perspectives. Our qualitative content analysis shows that most of them perceive the innovation as helpful in the intended sense and indicates that the course concept, in general, and the interface ePortfolio, in particular, have helped establish relevant links between the course content and their later work as teachers. article_type: original author: - first_name: Max full_name: Hoffmann, Max id: '32202' last_name: Hoffmann orcid: 0000-0002-6964-7123 - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: Hoffmann M, Biehler R. Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course. ZDM – Mathematics Education. Published online 2023. doi:10.1007/s11858-023-01505-3 apa: Hoffmann, M., & Biehler, R. (2023). Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-023-01505-3 bibtex: '@article{Hoffmann_Biehler_2023, title={Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course}, DOI={10.1007/s11858-023-01505-3}, journal={ZDM – Mathematics Education}, publisher={Springer}, author={Hoffmann, Max and Biehler, Rolf}, year={2023} }' chicago: Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s Perspectives on Interface Activities in the Context of a Geometry Course.” ZDM – Mathematics Education, 2023. https://doi.org/10.1007/s11858-023-01505-3. ieee: 'M. Hoffmann and R. Biehler, “Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course,” ZDM – Mathematics Education, 2023, doi: 10.1007/s11858-023-01505-3.' mla: Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s Perspectives on Interface Activities in the Context of a Geometry Course.” ZDM – Mathematics Education, Springer, 2023, doi:10.1007/s11858-023-01505-3. short: M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2023). date_created: 2023-06-27T11:45:25Z date_updated: 2023-07-13T09:41:20Z ddc: - '510' - '370' department: - _id: '97' - _id: '643' doi: 10.1007/s11858-023-01505-3 file: - access_level: closed content_type: application/pdf creator: maxh date_created: 2023-07-13T09:40:02Z date_updated: 2023-07-13T09:40:02Z file_id: '46041' file_name: s11858-023-01505-3.pdf file_size: 1460246 relation: main_file success: 1 file_date_updated: 2023-07-13T09:40:02Z has_accepted_license: '1' keyword: - General Mathematics - Education language: - iso: eng main_file_link: - open_access: '1' url: https://link.springer.com/article/10.1007/s11858-023-01505-3 oa: '1' publication: ZDM – Mathematics Education publication_identifier: issn: - 1863-9690 - 1863-9704 publication_status: published publisher: Springer quality_controlled: '1' status: public title: Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course type: journal_article user_id: '32202' year: '2023' ... --- _id: '46100' article_number: '127558' author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Daan W. full_name: Janssen, Daan W. last_name: Janssen - first_name: Jobst full_name: Ziebell, Jobst last_name: Ziebell citation: ama: 'Hinrichs B, Janssen DW, Ziebell J. Super-Gaussian decay of exponentials: A sufficient condition. Journal of Mathematical Analysis and Applications. 2023;528(1). doi:10.1016/j.jmaa.2023.127558' apa: 'Hinrichs, B., Janssen, D. W., & Ziebell, J. (2023). Super-Gaussian decay of exponentials: A sufficient condition. Journal of Mathematical Analysis and Applications, 528(1), Article 127558. https://doi.org/10.1016/j.jmaa.2023.127558' bibtex: '@article{Hinrichs_Janssen_Ziebell_2023, title={Super-Gaussian decay of exponentials: A sufficient condition}, volume={528}, DOI={10.1016/j.jmaa.2023.127558}, number={1127558}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Hinrichs, Benjamin and Janssen, Daan W. and Ziebell, Jobst}, year={2023} }' chicago: 'Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis and Applications 528, no. 1 (2023). https://doi.org/10.1016/j.jmaa.2023.127558.' ieee: 'B. Hinrichs, D. W. Janssen, and J. Ziebell, “Super-Gaussian decay of exponentials: A sufficient condition,” Journal of Mathematical Analysis and Applications, vol. 528, no. 1, Art. no. 127558, 2023, doi: 10.1016/j.jmaa.2023.127558.' mla: 'Hinrichs, Benjamin, et al. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis and Applications, vol. 528, no. 1, 127558, Elsevier BV, 2023, doi:10.1016/j.jmaa.2023.127558.' short: B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023). date_created: 2023-07-20T05:08:49Z date_updated: 2023-07-20T05:11:12Z department: - _id: '799' doi: 10.1016/j.jmaa.2023.127558 external_id: arxiv: - '2205.09189' intvolume: ' 528' issue: '1' keyword: - Applied Mathematics - Analysis language: - iso: eng publication: Journal of Mathematical Analysis and Applications publication_identifier: issn: - 0022-247X publication_status: published publisher: Elsevier BV status: public title: 'Super-Gaussian decay of exponentials: A sufficient condition' type: journal_article user_id: '99427' volume: 528 year: '2023' ... --- _id: '46117' abstract: - lang: eng text: "Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$." author: - first_name: Tobias full_name: Weich, Tobias last_name: Weich - first_name: Lasse L. full_name: Wolf, Lasse L. last_name: Wolf citation: ama: 'Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. arXiv:230409573. Published online 2023.' apa: 'Weich, T., & Wolf, L. L. (2023). Temperedness of locally symmetric spaces: The product case. In arXiv:2304.09573.' bibtex: '@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces: The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf, Lasse L.}, year={2023} }' chicago: 'Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.' ieee: 'T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” arXiv:2304.09573. 2023.' mla: 'Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.' short: T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023). date_created: 2023-07-24T07:52:23Z date_updated: 2023-07-24T07:53:29Z department: - _id: '10' external_id: arxiv: - '2304.09573' language: - iso: eng publication: arXiv:2304.09573 status: public title: 'Temperedness of locally symmetric spaces: The product case' type: preprint user_id: '45027' year: '2023' ... --- _id: '46155' article_number: '104270' author: - first_name: Julia full_name: Bruns, Julia last_name: Bruns - first_name: Maike full_name: Hagena, Maike last_name: Hagena - first_name: Hedwig full_name: Gasteiger, Hedwig last_name: Gasteiger citation: ama: 'Bruns J, Hagena M, Gasteiger H. Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects? Teaching and Teacher Education. 2023;132. doi:10.1016/j.tate.2023.104270' apa: 'Bruns, J., Hagena, M., & Gasteiger, H. (2023). Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects? Teaching and Teacher Education, 132, Article 104270. https://doi.org/10.1016/j.tate.2023.104270' bibtex: '@article{Bruns_Hagena_Gasteiger_2023, title={Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?}, volume={132}, DOI={10.1016/j.tate.2023.104270}, number={104270}, journal={Teaching and Teacher Education}, publisher={Elsevier BV}, author={Bruns, Julia and Hagena, Maike and Gasteiger, Hedwig}, year={2023} }' chicago: 'Bruns, Julia, Maike Hagena, and Hedwig Gasteiger. “Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?” Teaching and Teacher Education 132 (2023). https://doi.org/10.1016/j.tate.2023.104270.' ieee: 'J. Bruns, M. Hagena, and H. Gasteiger, “Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?,” Teaching and Teacher Education, vol. 132, Art. no. 104270, 2023, doi: 10.1016/j.tate.2023.104270.' mla: 'Bruns, Julia, et al. “Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?” Teaching and Teacher Education, vol. 132, 104270, Elsevier BV, 2023, doi:10.1016/j.tate.2023.104270.' short: J. Bruns, M. Hagena, H. Gasteiger, Teaching and Teacher Education 132 (2023). date_created: 2023-07-26T08:55:26Z date_updated: 2023-07-26T08:57:01Z department: - _id: '611' doi: 10.1016/j.tate.2023.104270 intvolume: ' 132' keyword: - Education language: - iso: eng publication: Teaching and Teacher Education publication_identifier: issn: - 0742-051X publication_status: published publisher: Elsevier BV status: public title: 'Professional Development Enacted by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?' type: journal_article user_id: '72183' volume: 132 year: '2023' ... --- _id: '46157' citation: ama: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing; 2023. doi:10.1007/978-3-031-14175-1 apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., & Winsløw, C. (Eds.). (2023). Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1 bibtex: '@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham}, title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={10.1007/978-3-031-14175-1}, publisher={Springer International Publishing}, year={2023} }' chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen, and Carl Winsløw, eds. Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1.' ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds., Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer International Publishing, 2023.' mla: Biehler, Rolf, et al., editors. Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing, 2023, doi:10.1007/978-3-031-14175-1. short: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds., Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023. date_created: 2023-07-26T10:16:08Z date_updated: 2023-07-26T10:17:43Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.1007/978-3-031-14175-1 editor: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Michael full_name: Liebendörfer, Michael id: '30933' last_name: Liebendörfer orcid: 0000-0001-9887-2074 - first_name: Ghislaine full_name: Gueudet, Ghislaine last_name: Gueudet - first_name: Chris full_name: Rasmussen, Chris last_name: Rasmussen - first_name: Carl full_name: Winsløw, Carl last_name: Winsløw language: - iso: eng place: Cham publication_identifier: isbn: - '9783031141744' - '9783031141751' issn: - 1869-4918 - 1869-4926 publication_status: published publisher: Springer International Publishing status: public title: Practice-Oriented Research in Tertiary Mathematics Education type: book_editor user_id: '37888' year: '2023' ... --- _id: '46256' author: - first_name: Yulai full_name: Ma, Yulai id: '92748' last_name: Ma - first_name: Davide full_name: Mattiolo, Davide last_name: Mattiolo - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Isaak Hieronymus full_name: Wolf, Isaak Hieronymus id: '88145' last_name: Wolf citation: ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs. SIAM Journal on Discrete Mathematics. 2023;37(3):1548-1565. doi:10.1137/22m1500654 apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2023). Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs. SIAM Journal on Discrete Mathematics, 37(3), 1548–1565. https://doi.org/10.1137/22m1500654 bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2023, title={Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs}, volume={37}, DOI={10.1137/22m1500654}, number={3}, journal={SIAM Journal on Discrete Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={1548–1565} }' chicago: 'Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf. “Pairwise Disjoint Perfect Matchings in R-Edge-Connected r-Regular Graphs.” SIAM Journal on Discrete Mathematics 37, no. 3 (2023): 1548–65. https://doi.org/10.1137/22m1500654.' ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs,” SIAM Journal on Discrete Mathematics, vol. 37, no. 3, pp. 1548–1565, 2023, doi: 10.1137/22m1500654.' mla: Ma, Yulai, et al. “Pairwise Disjoint Perfect Matchings in R-Edge-Connected r-Regular Graphs.” SIAM Journal on Discrete Mathematics, vol. 37, no. 3, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 1548–65, doi:10.1137/22m1500654. short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, SIAM Journal on Discrete Mathematics 37 (2023) 1548–1565. date_created: 2023-08-01T10:08:32Z date_updated: 2023-08-01T10:09:35Z department: - _id: '542' doi: 10.1137/22m1500654 intvolume: ' 37' issue: '3' keyword: - General Mathematics language: - iso: eng page: 1548-1565 publication: SIAM Journal on Discrete Mathematics publication_identifier: issn: - 0895-4801 - 1095-7146 publication_status: published publisher: Society for Industrial & Applied Mathematics (SIAM) status: public title: Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs type: journal_article user_id: '15540' volume: 37 year: '2023' ... --- _id: '42163' abstract: - lang: eng text: 'The article shows how to learn models of dynamical systems from data which are governed by an unknown variational PDE. Rather than employing reduction techniques, we learn a discrete field theory governed by a discrete Lagrangian density $L_d$ that is modelled as a neural network. Careful regularisation of the loss function for training $L_d$ is necessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of the discrete Euler--Lagrange equations. Secondly, we develop a method to find solutions to machine learned discrete field theories which constitute travelling waves of the underlying continuous PDE.' author: - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum citation: ama: 'Offen C, Ober-Blöbaum S. Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In: Nielsen F, Barbaresco F, eds. Geometric Science of Information. Vol 14071. Lecture Notes in Computer Science (LNCS). Springer, Cham.; 2023:569-579. doi:10.1007/978-3-031-38271-0_57' apa: Offen, C., & Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In F. Nielsen & F. Barbaresco (Eds.), Geometric Science of Information (Vol. 14071, pp. 569–579). Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_57 bibtex: '@inproceedings{Offen_Ober-Blöbaum_2023, series={Lecture Notes in Computer Science (LNCS)}, title={Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves}, volume={14071}, DOI={10.1007/978-3-031-38271-0_57}, booktitle={Geometric Science of Information}, publisher={Springer, Cham.}, author={Offen, Christian and Ober-Blöbaum, Sina}, editor={Nielsen, F and Barbaresco, F}, year={2023}, pages={569–579}, collection={Lecture Notes in Computer Science (LNCS)} }' chicago: Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” In Geometric Science of Information, edited by F Nielsen and F Barbaresco, 14071:569–79. Lecture Notes in Computer Science (LNCS). Springer, Cham., 2023. https://doi.org/10.1007/978-3-031-38271-0_57. ieee: 'C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves,” in Geometric Science of Information, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071, pp. 569–579, doi: 10.1007/978-3-031-38271-0_57.' mla: Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” Geometric Science of Information, edited by F Nielsen and F Barbaresco, vol. 14071, Springer, Cham., 2023, pp. 569–79, doi:10.1007/978-3-031-38271-0_57. short: 'C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, Springer, Cham., 2023, pp. 569–579.' conference: end_date: 2023-09-01 location: Saint-Malo, Palais du Grand Large, France name: ' GSI''23 6th International Conference on Geometric Science of Information' start_date: 2023-08-30 date_created: 2023-02-16T11:32:48Z date_updated: 2023-08-10T08:34:04Z ddc: - '510' department: - _id: '636' doi: 10.1007/978-3-031-38271-0_57 editor: - first_name: F full_name: Nielsen, F last_name: Nielsen - first_name: F full_name: Barbaresco, F last_name: Barbaresco external_id: arxiv: - '2302.08232 ' file: - access_level: open_access content_type: application/pdf creator: coffen date_created: 2023-08-02T12:04:17Z date_updated: 2023-08-02T12:04:17Z description: |- The article shows how to learn models of dynamical systems from data which are governed by an unknown variational PDE. Rather than employing reduction techniques, we learn a discrete field theory governed by a discrete Lagrangian density Ld that is modelled as a neural network. Careful regularisation of the loss function for training Ld is necessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of the discrete Euler–Lagrange equations. Secondly, we develop a method to find solutions to machine learned discrete field theories which constitute travelling waves of the underlying continuous PDE. file_id: '46273' file_name: LDensityLearning.pdf file_size: 1938962 relation: main_file title: Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves file_date_updated: 2023-08-02T12:04:17Z has_accepted_license: '1' intvolume: ' 14071' keyword: - System identification - discrete Lagrangians - travelling waves language: - iso: eng oa: '1' page: 569-579 publication: Geometric Science of Information publication_identifier: eisbn: - 978-3-031-38271-0 publication_status: published publisher: Springer, Cham. quality_controlled: '1' related_material: link: - description: GitHub relation: software url: https://github.com/Christian-Offen/LagrangianDensityML series_title: Lecture Notes in Computer Science (LNCS) status: public title: Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves type: conference user_id: '85279' volume: 14071 year: '2023' ... --- _id: '29240' abstract: - lang: eng text: "The principle of least action is one of the most fundamental physical principle. It says that among all possible motions connecting two points in a phase space, the system will exhibit those motions which extremise an action functional. Many qualitative features of dynamical systems, such as the presence of conservation laws and energy balance equations, are related to the existence of an action functional. Incorporating variational structure into learning algorithms for dynamical systems is, therefore, crucial in order to make sure that the learned model shares important features with the exact physical system. In this paper we show how to incorporate variational principles into trajectory predictions of learned dynamical systems. The novelty of this work is that (1) our technique relies only on discrete position data of observed trajectories. Velocities or conjugate momenta do not need to be observed or approximated and no prior knowledge about the form of the variational principle is assumed. Instead, they are recovered using backward error analysis. (2) Moreover, our technique compensates discretisation errors when trajectories are computed from the learned system. This is important when moderate to large step-sizes are used and high accuracy is required. For this,\r\nwe introduce and rigorously analyse the concept of inverse modified Lagrangians by developing an inverse version of variational backward error analysis. (3) Finally, we introduce a method to perform system identification from position observations only, based on variational backward error analysis." article_type: original author: - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 citation: ama: Ober-Blöbaum S, Offen C. Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics. 2023;421:114780. doi:10.1016/j.cam.2022.114780 apa: Ober-Blöbaum, S., & Offen, C. (2023). Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics, 421, 114780. https://doi.org/10.1016/j.cam.2022.114780 bibtex: '@article{Ober-Blöbaum_Offen_2023, title={Variational Learning of Euler–Lagrange Dynamics from Data}, volume={421}, DOI={10.1016/j.cam.2022.114780}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier}, author={Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={114780} }' chicago: 'Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics 421 (2023): 114780. https://doi.org/10.1016/j.cam.2022.114780.' ieee: 'S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics from Data,” Journal of Computational and Applied Mathematics, vol. 421, p. 114780, 2023, doi: 10.1016/j.cam.2022.114780.' mla: Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics, vol. 421, Elsevier, 2023, p. 114780, doi:10.1016/j.cam.2022.114780. short: S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics 421 (2023) 114780. date_created: 2022-01-11T13:24:00Z date_updated: 2023-08-10T08:42:39Z ddc: - '510' department: - _id: '636' doi: 10.1016/j.cam.2022.114780 external_id: arxiv: - '2112.12619' file: - access_level: open_access content_type: application/pdf creator: coffen date_created: 2022-06-28T15:25:50Z date_updated: 2022-06-28T15:25:50Z description: |- The principle of least action is one of the most fundamental physical principle. It says that among all possible motions connecting two points in a phase space, the system will exhibit those motions which extremise an action functional. Many qualitative features of dynamical systems, such as the presence of conservation laws and energy balance equa- tions, are related to the existence of an action functional. Incorporating variational structure into learning algorithms for dynamical systems is, therefore, crucial in order to make sure that the learned model shares important features with the exact physical system. In this paper we show how to incorporate variational principles into trajectory predic- tions of learned dynamical systems. The novelty of this work is that (1) our technique relies only on discrete position data of observed trajectories. Velocities or conjugate momenta do not need to be observed or approximated and no prior knowledge about the form of the variational principle is assumed. Instead, they are recovered using backward error analysis. (2) Moreover, our technique compensates discretisation errors when trajectories are computed from the learned system. This is important when moderate to large step-sizes are used and high accuracy is required. For this, we introduce and rigorously analyse the concept of inverse modified Lagrangians by developing an inverse version of variational backward error analysis. (3) Finally, we introduce a method to perform system identification from position observations only, based on variational backward error analysis. file_id: '32274' file_name: ShadowLagrangian_revision1_journal_style_arxiv.pdf file_size: 3640770 relation: main_file title: Variational Learning of Euler–Lagrange Dynamics from Data file_date_updated: 2022-06-28T15:25:50Z has_accepted_license: '1' intvolume: ' 421' keyword: - Lagrangian learning - variational backward error analysis - modified Lagrangian - variational integrators - physics informed learning language: - iso: eng oa: '1' page: '114780' publication: Journal of Computational and Applied Mathematics publication_identifier: issn: - 0377-0427 publication_status: epub_ahead publisher: Elsevier quality_controlled: '1' related_material: link: - relation: software url: https://github.com/Christian-Offen/LagrangianShadowIntegration status: public title: Variational Learning of Euler–Lagrange Dynamics from Data type: journal_article user_id: '85279' volume: 421 year: '2023' ... --- _id: '29236' abstract: - lang: eng text: The numerical solution of an ordinary differential equation can be interpreted as the exact solution of a nearby modified equation. Investigating the behaviour of numerical solutions by analysing the modified equation is known as backward error analysis. If the original and modified equation share structural properties, then the exact and approximate solution share geometric features such as the existence of conserved quantities. Conjugate symplectic methods preserve a modified symplectic form and a modified Hamiltonian when applied to a Hamiltonian system. We show how a blended version of variational and symplectic techniques can be used to compute modified symplectic and Hamiltonian structures. In contrast to other approaches, our backward error analysis method does not rely on an ansatz but computes the structures systematically, provided that a variational formulation of the method is known. The technique is illustrated on the example of symmetric linear multistep methods with matrix coefficients. article_type: original author: - first_name: Robert full_name: McLachlan, Robert last_name: McLachlan - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 citation: ama: McLachlan R, Offen C. Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics. 2023;15(1):98-115. doi:10.3934/jgm.2023005 apa: McLachlan, R., & Offen, C. (2023). Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics, 15(1), 98–115. https://doi.org/10.3934/jgm.2023005 bibtex: '@article{McLachlan_Offen_2023, title={Backward error analysis for conjugate symplectic methods}, volume={15}, DOI={10.3934/jgm.2023005}, number={1}, journal={Journal of Geometric Mechanics}, publisher={AIMS Press}, author={McLachlan, Robert and Offen, Christian}, year={2023}, pages={98–115} }' chicago: 'McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics 15, no. 1 (2023): 98–115. https://doi.org/10.3934/jgm.2023005.' ieee: 'R. McLachlan and C. Offen, “Backward error analysis for conjugate symplectic methods,” Journal of Geometric Mechanics, vol. 15, no. 1, pp. 98–115, 2023, doi: 10.3934/jgm.2023005.' mla: McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics, vol. 15, no. 1, AIMS Press, 2023, pp. 98–115, doi:10.3934/jgm.2023005. short: R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115. date_created: 2022-01-11T12:48:39Z date_updated: 2023-08-10T08:40:30Z ddc: - '510' department: - _id: '636' doi: 10.3934/jgm.2023005 external_id: arxiv: - '2201.03911' file: - access_level: open_access content_type: application/pdf creator: coffen date_created: 2022-08-12T16:48:59Z date_updated: 2022-08-12T16:48:59Z description: The numerical solution of an ordinary differential equation can be interpreted as the exact solution of a nearby modified equation. Investigating the behaviour of numerical solutions by analysing the modified equation is known as backward error analysis. If the original and modified equation share structural properties, then the exact and approximate solution share geometric features such as the existence of conserved quantities. Conjugate symplectic methods preserve a modified symplectic form and a modified Hamiltonian when applied to a Hamiltonian system. We show how a blended version of variational and symplectic techniques can be used to compute modified symplectic and Hamiltonian structures. In contrast to other approaches, our backward error analysis method does not rely on an ansatz but computes the structures systematically, provided that a variational formulation of the method is known. The technique is illustrated on the example of symmetric linear multistep methods with matrix coefficients. file_id: '32801' file_name: BEA_MultiStep_Matrix.pdf file_size: 827030 relation: main_file title: Backward error analysis for conjugate symplectic methods file_date_updated: 2022-08-12T16:48:59Z has_accepted_license: '1' intvolume: ' 15' issue: '1' keyword: - variational integrators - backward error analysis - Euler--Lagrange equations - multistep methods - conjugate symplectic methods language: - iso: eng oa: '1' page: 98-115 publication: Journal of Geometric Mechanics publication_status: published publisher: AIMS Press quality_controlled: '1' related_material: link: - relation: software url: https://github.com/Christian-Offen/BEAConjugateSymplectic status: public title: Backward error analysis for conjugate symplectic methods type: journal_article user_id: '85279' volume: 15 year: '2023' ... --- _id: '37654' abstract: - lang: eng text: "Recently, Hamiltonian neural networks (HNN) have been introduced to incorporate prior physical knowledge when\r\nlearning the dynamical equations of Hamiltonian systems. Hereby, the symplectic system structure is preserved despite\r\nthe data-driven modeling approach. However, preserving symmetries requires additional attention. In this research, we\r\nenhance the HNN with a Lie algebra framework to detect and embed symmetries in the neural network. This approach\r\nallows to simultaneously learn the symmetry group action and the total energy of the system. As illustrating examples,\r\na pendulum on a cart and a two-body problem from astrodynamics are considered." article_number: '063115' article_type: original author: - first_name: Eva full_name: Dierkes, Eva last_name: Dierkes - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Kathrin full_name: Flaßkamp, Kathrin last_name: Flaßkamp citation: ama: Dierkes E, Offen C, Ober-Blöbaum S, Flaßkamp K. Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos. 2023;33(6). doi:10.1063/5.0142969 apa: Dierkes, E., Offen, C., Ober-Blöbaum, S., & Flaßkamp, K. (2023). Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos, 33(6), Article 063115. https://doi.org/10.1063/5.0142969 bibtex: '@article{Dierkes_Offen_Ober-Blöbaum_Flaßkamp_2023, title={Hamiltonian Neural Networks with Automatic Symmetry Detection}, volume={33}, DOI={10.1063/5.0142969}, number={6063115}, journal={Chaos}, publisher={AIP Publishing}, author={Dierkes, Eva and Offen, Christian and Ober-Blöbaum, Sina and Flaßkamp, Kathrin}, year={2023} }' chicago: Dierkes, Eva, Christian Offen, Sina Ober-Blöbaum, and Kathrin Flaßkamp. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos 33, no. 6 (2023). https://doi.org/10.1063/5.0142969. ieee: 'E. Dierkes, C. Offen, S. Ober-Blöbaum, and K. Flaßkamp, “Hamiltonian Neural Networks with Automatic Symmetry Detection,” Chaos, vol. 33, no. 6, Art. no. 063115, 2023, doi: 10.1063/5.0142969.' mla: Dierkes, Eva, et al. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos, vol. 33, no. 6, 063115, AIP Publishing, 2023, doi:10.1063/5.0142969. short: E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023). date_created: 2023-01-20T09:10:06Z date_updated: 2023-08-10T08:37:01Z ddc: - '510' department: - _id: '636' doi: 10.1063/5.0142969 external_id: arxiv: - '2301.07928' file: - access_level: open_access content_type: application/pdf creator: coffen date_created: 2023-04-26T16:20:56Z date_updated: 2023-04-26T16:20:56Z description: |- Incorporating physical system knowledge into data-driven system identification has been shown to be beneficial. The approach presented in this article combines learning of an energy-conserving model from data with detecting a Lie group representation of the unknown system symmetry. The proposed approach can improve the learned model and reveal underlying symmetry simultaneously. file_id: '44205' file_name: JournalPaper_main.pdf file_size: 5200111 relation: main_file title: Hamiltonian Neural Networks with Automatic Symmetry Detection file_date_updated: 2023-04-26T16:20:56Z has_accepted_license: '1' intvolume: ' 33' issue: '6' language: - iso: eng oa: '1' publication: Chaos publication_identifier: issn: - 1054-1500 publication_status: published publisher: AIP Publishing related_material: link: - description: GitHub relation: software url: https://github.com/eva-dierkes/HNN_withSymmetries status: public title: Hamiltonian Neural Networks with Automatic Symmetry Detection type: journal_article user_id: '85279' volume: 33 year: '2023' ... --- _id: '23428' abstract: - lang: eng text: "The Koopman operator has become an essential tool for data-driven approximation of dynamical (control) systems in recent years, e.g., via extended dynamic mode decomposition. Despite its popularity, convergence results and, in particular, error bounds are still quite scarce. In this paper, we derive probabilistic bounds for the approximation error and the prediction error depending on the number of training data points; for both ordinary and stochastic differential equations. Moreover, we extend our analysis to nonlinear control-affine systems using either ergodic trajectories or i.i.d.\r\nsamples. Here, we exploit the linearity of the Koopman generator to obtain a bilinear system and, thus, circumvent the curse of dimensionality since we do not autonomize the system by augmenting the state by the control inputs. To the\r\nbest of our knowledge, this is the first finite-data error analysis in the stochastic and/or control setting. Finally, we demonstrate the effectiveness of the proposed approach by comparing it with state-of-the-art techniques showing its superiority whenever state and control are coupled." article_number: '14' author: - first_name: Feliks full_name: Nüske, Feliks id: '81513' last_name: Nüske orcid: 0000-0003-2444-7889 - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X - first_name: Friedrich full_name: Philipp, Friedrich last_name: Philipp - first_name: Manuel full_name: Schaller, Manuel last_name: Schaller - first_name: Karl full_name: Worthmann, Karl last_name: Worthmann citation: ama: Nüske F, Peitz S, Philipp F, Schaller M, Worthmann K. Finite-data error bounds for Koopman-based prediction and control. Journal of Nonlinear Science. 2023;33. doi:10.1007/s00332-022-09862-1 apa: Nüske, F., Peitz, S., Philipp, F., Schaller, M., & Worthmann, K. (2023). Finite-data error bounds for Koopman-based prediction and control. Journal of Nonlinear Science, 33, Article 14. https://doi.org/10.1007/s00332-022-09862-1 bibtex: '@article{Nüske_Peitz_Philipp_Schaller_Worthmann_2023, title={Finite-data error bounds for Koopman-based prediction and control}, volume={33}, DOI={10.1007/s00332-022-09862-1}, number={14}, journal={Journal of Nonlinear Science}, author={Nüske, Feliks and Peitz, Sebastian and Philipp, Friedrich and Schaller, Manuel and Worthmann, Karl}, year={2023} }' chicago: Nüske, Feliks, Sebastian Peitz, Friedrich Philipp, Manuel Schaller, and Karl Worthmann. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.” Journal of Nonlinear Science 33 (2023). https://doi.org/10.1007/s00332-022-09862-1. ieee: 'F. Nüske, S. Peitz, F. Philipp, M. Schaller, and K. Worthmann, “Finite-data error bounds for Koopman-based prediction and control,” Journal of Nonlinear Science, vol. 33, Art. no. 14, 2023, doi: 10.1007/s00332-022-09862-1.' mla: Nüske, Feliks, et al. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.” Journal of Nonlinear Science, vol. 33, 14, 2023, doi:10.1007/s00332-022-09862-1. short: F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear Science 33 (2023). date_created: 2021-08-17T12:25:09Z date_updated: 2023-08-24T07:50:12Z department: - _id: '101' - _id: '655' doi: 10.1007/s00332-022-09862-1 intvolume: ' 33' language: - iso: eng main_file_link: - open_access: '1' url: https://link.springer.com/content/pdf/10.1007/s00332-022-09862-1.pdf oa: '1' publication: Journal of Nonlinear Science publication_status: published status: public title: Finite-data error bounds for Koopman-based prediction and control type: journal_article user_id: '47427' volume: 33 year: '2023' ... --- _id: '21600' abstract: - lang: eng text: Many problems in science and engineering require an efficient numerical approximation of integrals or solutions to differential equations. For systems with rapidly changing dynamics, an equidistant discretization is often inadvisable as it results in prohibitively large errors or computational effort. To this end, adaptive schemes, such as solvers based on Runge–Kutta pairs, have been developed which adapt the step size based on local error estimations at each step. While the classical schemes apply very generally and are highly efficient on regular systems, they can behave suboptimally when an inefficient step rejection mechanism is triggered by structurally complex systems such as chaotic systems. To overcome these issues, we propose a method to tailor numerical schemes to the problem class at hand. This is achieved by combining simple, classical quadrature rules or ODE solvers with data-driven time-stepping controllers. Compared with learning solution operators to ODEs directly, it generalizes better to unseen initial data as our approach employs classical numerical schemes as base methods. At the same time it can make use of identified structures of a problem class and, therefore, outperforms state-of-the-art adaptive schemes. Several examples demonstrate superior efficiency. Source code is available at https://github.com/lueckem/quadrature-ML. author: - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz - first_name: Eyke full_name: Hüllermeier, Eyke id: '48129' last_name: Hüllermeier - first_name: Marvin full_name: Lücke, Marvin last_name: Lücke - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X - first_name: Karlson full_name: Pfannschmidt, Karlson id: '13472' last_name: Pfannschmidt orcid: 0000-0001-9407-7903 citation: ama: Dellnitz M, Hüllermeier E, Lücke M, et al. Efficient time stepping for numerical integration using reinforcement  learning. SIAM Journal on Scientific Computing. 2023;45(2):A579-A595. doi:10.1137/21M1412682 apa: Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., & Pfannschmidt, K. (2023). Efficient time stepping for numerical integration using reinforcement  learning. SIAM Journal on Scientific Computing, 45(2), A579–A595. https://doi.org/10.1137/21M1412682 bibtex: '@article{Dellnitz_Hüllermeier_Lücke_Ober-Blöbaum_Offen_Peitz_Pfannschmidt_2023, title={Efficient time stepping for numerical integration using reinforcement  learning}, volume={45}, DOI={10.1137/21M1412682}, number={2}, journal={SIAM Journal on Scientific Computing}, author={Dellnitz, Michael and Hüllermeier, Eyke and Lücke, Marvin and Ober-Blöbaum, Sina and Offen, Christian and Peitz, Sebastian and Pfannschmidt, Karlson}, year={2023}, pages={A579–A595} }' chicago: 'Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement  Learning.” SIAM Journal on Scientific Computing 45, no. 2 (2023): A579–95. https://doi.org/10.1137/21M1412682.' ieee: 'M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement  learning,” SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. A579–A595, 2023, doi: 10.1137/21M1412682.' mla: Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration Using Reinforcement  Learning.” SIAM Journal on Scientific Computing, vol. 45, no. 2, 2023, pp. A579–95, doi:10.1137/21M1412682. short: M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595. date_created: 2021-04-09T07:59:19Z date_updated: 2023-08-25T09:24:50Z ddc: - '510' department: - _id: '101' - _id: '636' - _id: '355' - _id: '655' doi: 10.1137/21M1412682 external_id: arxiv: - arXiv:2104.03562 has_accepted_license: '1' intvolume: ' 45' issue: '2' language: - iso: eng main_file_link: - url: https://epubs.siam.org/doi/reader/10.1137/21M1412682 page: A579-A595 publication: SIAM Journal on Scientific Computing publication_status: published related_material: link: - description: GitHub relation: software url: https://github.com/lueckem/quadrature-ML status: public title: Efficient time stepping for numerical integration using reinforcement learning type: journal_article user_id: '47427' volume: 45 year: '2023' ... --- _id: '46757' author: - first_name: Imke full_name: Schwerin, Imke id: '48912' last_name: Schwerin - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide citation: ama: 'Schwerin I, Häsel-Weide U. Second grader´s understanding of doubling and halfing in various representations. In: Novotna J, Moraova H, eds. International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education. Charles University; 2023:297-305.' apa: 'Schwerin, I., & Häsel-Weide, U. (2023). Second grader´s understanding of doubling and halfing in various representations. In J. Novotna & H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education (pp. 297–305). Charles University.' bibtex: '@inproceedings{Schwerin_Häsel-Weide_2023, title={Second grader´s understanding of doubling and halfing in various representations}, booktitle={International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education}, publisher={Charles University}, author={Schwerin, Imke and Häsel-Weide, Uta}, editor={Novotna, J. and Moraova, H.}, year={2023}, pages={297–305} }' chicago: 'Schwerin, Imke, and Uta Häsel-Weide. “Second Grader´s Understanding of Doubling and Halfing in Various Representations.” In International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, 297–305. Charles University, 2023.' ieee: 'I. Schwerin and U. Häsel-Weide, “Second grader´s understanding of doubling and halfing in various representations,” in International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Prag, 2023, pp. 297–305.' mla: 'Schwerin, Imke, and Uta Häsel-Weide. “Second Grader´s Understanding of Doubling and Halfing in Various Representations.” International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, Charles University, 2023, pp. 297–305.' short: 'I. Schwerin, U. Häsel-Weide, in: J. Novotna, H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Charles University, 2023, pp. 297–305.' conference: location: Prag name: International Symposium in Elementary Mathematics Teaching date_created: 2023-08-30T09:40:23Z date_updated: 2023-08-30T09:55:41Z department: - _id: '543' editor: - first_name: J. full_name: Novotna, J. last_name: Novotna - first_name: H. full_name: Moraova, H. last_name: Moraova language: - iso: eng page: 297-305 publication: 'International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education' publisher: Charles University status: public title: Second grader´s understanding of doubling and halfing in various representations type: conference user_id: '44184' year: '2023' ... --- _id: '46758' author: - first_name: Rebekka full_name: Schmidt, Rebekka id: '58565' last_name: Schmidt - first_name: Claudia full_name: Tenberge, Claudia id: '67302' last_name: Tenberge - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide citation: ama: 'Schmidt R, Tenberge C, Häsel-Weide U. Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern. In: Vöing N, Schmidt R, Neiske I, eds. Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre. Visual Ink Publishing; 2023:297-318.' apa: Schmidt, R., Tenberge, C., & Häsel-Weide, U. (2023). Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern. In N. Vöing, R. Schmidt, & I. Neiske (Eds.), Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre (pp. 297–318). Visual Ink Publishing. bibtex: '@inbook{Schmidt_Tenberge_Häsel-Weide_2023, title={Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern}, booktitle={Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre}, publisher={Visual Ink Publishing}, author={Schmidt, Rebekka and Tenberge, Claudia and Häsel-Weide, Uta}, editor={Vöing, N. and Schmidt, R. and Neiske, I.}, year={2023}, pages={297–318} }' chicago: Schmidt, Rebekka, Claudia Tenberge, and Uta Häsel-Weide. “Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern.” In Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, edited by N. Vöing, R. Schmidt, and I. Neiske, 297–318. Visual Ink Publishing, 2023. ieee: R. Schmidt, C. Tenberge, and U. Häsel-Weide, “Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern,” in Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, N. Vöing, R. Schmidt, and I. Neiske, Eds. Visual Ink Publishing, 2023, pp. 297–318. mla: Schmidt, Rebekka, et al. “Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern.” Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, edited by N. Vöing et al., Visual Ink Publishing, 2023, pp. 297–318. short: 'R. Schmidt, C. Tenberge, U. Häsel-Weide, in: N. Vöing, R. Schmidt, I. Neiske (Eds.), Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, Visual Ink Publishing, 2023, pp. 297–318.' date_created: 2023-08-30T09:54:47Z date_updated: 2023-08-30T09:55:46Z department: - _id: '543' editor: - first_name: N. full_name: Vöing, N. last_name: Vöing - first_name: R. full_name: Schmidt, R. last_name: Schmidt - first_name: I. full_name: Neiske, I. last_name: Neiske language: - iso: ger page: 297-318 publication: Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre publisher: Visual Ink Publishing status: public title: Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern type: book_chapter user_id: '44184' year: '2023' ... --- _id: '47416' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Joachim full_name: Engel, Joachim last_name: Engel - first_name: Daniel full_name: Frischemeier, Daniel last_name: Frischemeier citation: ama: 'Biehler R, Engel J, Frischemeier D. Stochastik: Leitidee Daten und Zufall. In: Bruder R, Büchter A, Gasteiger H, Schmidt-Thieme B, Weigand HG, eds. Handbuch Der Mathematikdidaktik. Springer; 2023. doi:10.1007/978-3-662-66604-3_8' apa: 'Biehler, R., Engel, J., & Frischemeier, D. (2023). Stochastik: Leitidee Daten und Zufall. In R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, & HG. Weigand (Eds.), Handbuch der Mathematikdidaktik. Springer. https://doi.org/10.1007/978-3-662-66604-3_8' bibtex: '@inbook{Biehler_Engel_Frischemeier_2023, place={Berlin, Heidelberg}, title={Stochastik: Leitidee Daten und Zufall}, DOI={10.1007/978-3-662-66604-3_8}, booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer}, author={Biehler, Rolf and Engel, Joachim and Frischemeier, Daniel}, editor={Bruder, Regina and Büchter, A. and Gasteiger, H. and Schmidt-Thieme, B. and Weigand, HG.}, year={2023} }' chicago: 'Biehler, Rolf, Joachim Engel, and Daniel Frischemeier. “Stochastik: Leitidee Daten Und Zufall.” In Handbuch Der Mathematikdidaktik, edited by Regina Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, and HG. Weigand. Berlin, Heidelberg: Springer, 2023. https://doi.org/10.1007/978-3-662-66604-3_8.' ieee: 'R. Biehler, J. Engel, and D. Frischemeier, “Stochastik: Leitidee Daten und Zufall,” in Handbuch der Mathematikdidaktik, R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, and HG. Weigand, Eds. Berlin, Heidelberg: Springer, 2023.' mla: 'Biehler, Rolf, et al. “Stochastik: Leitidee Daten Und Zufall.” Handbuch Der Mathematikdidaktik, edited by Regina Bruder et al., Springer, 2023, doi:10.1007/978-3-662-66604-3_8.' short: 'R. Biehler, J. Engel, D. Frischemeier, in: R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, HG. Weigand (Eds.), Handbuch Der Mathematikdidaktik, Springer, Berlin, Heidelberg, 2023.' date_created: 2023-09-25T11:15:18Z date_updated: 2023-09-25T11:18:19Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.1007/978-3-662-66604-3_8 editor: - first_name: Regina full_name: Bruder, Regina last_name: Bruder - first_name: A. full_name: Büchter, A. last_name: Büchter - first_name: H. full_name: Gasteiger, H. last_name: Gasteiger - first_name: B. full_name: Schmidt-Thieme, B. last_name: Schmidt-Thieme - first_name: HG. full_name: Weigand, HG. last_name: Weigand language: - iso: eng place: Berlin, Heidelberg publication: Handbuch der Mathematikdidaktik publication_identifier: isbn: - '9783662666036' - '9783662666043' publication_status: published publisher: Springer status: public title: 'Stochastik: Leitidee Daten und Zufall' type: book_chapter user_id: '37888' year: '2023' ... --- _id: '47534' abstract: - lang: eng text: "In this proceeding we consider a translation invariant Nelson type model in\r\ntwo spatial dimensions modeling a scalar relativistic particle in interaction\r\nwith a massive radiation field. As is well-known, the corresponding Hamiltonian\r\ncan be defined with the help of an energy renormalization. First, we review a\r\nFeynman-Kac formula for the semigroup generated by this Hamiltonian proven by\r\nthe authors in a recent preprint (where several matter particles and exterior\r\npotentials are treated as well). After that, we employ a few technical key\r\nrelations and estimates obtained in our preprint to present an otherwise\r\nself-contained derivation of new Feynman-Kac formulas for the fiber\r\nHamiltonians attached to fixed total momenta of the translation invariant\r\nsystem. We conclude by inferring an alternative derivation of the Feynman-Kac\r\nformula for the full translation invariant Hamiltonian." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Oliver full_name: Matte, Oliver last_name: Matte citation: ama: Hinrichs B, Matte O. Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. arXiv:230909005. Published online 2023. apa: Hinrichs, B., & Matte, O. (2023). Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. In arXiv:2309.09005. bibtex: '@article{Hinrichs_Matte_2023, title={Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions}, journal={arXiv:2309.09005}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2023} }' chicago: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” ArXiv:2309.09005, 2023. ieee: B. Hinrichs and O. Matte, “Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions,” arXiv:2309.09005. 2023. mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” ArXiv:2309.09005, 2023. short: B. Hinrichs, O. Matte, ArXiv:2309.09005 (2023). date_created: 2023-10-02T06:21:37Z date_updated: 2023-10-02T06:22:55Z department: - _id: '799' - _id: '623' external_id: arxiv: - '2309.09005' language: - iso: eng project: - _id: '266' name: 'PhoQC: PhoQC: Photonisches Quantencomputing' publication: arXiv:2309.09005 status: public title: Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions type: preprint user_id: '99427' year: '2023' ... --- _id: '48042' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Daniel full_name: Frischemeier, Daniel last_name: Frischemeier - first_name: Ronald full_name: Gould, Ronald last_name: Gould - first_name: Maxine full_name: Pfannkuch, Maxine last_name: Pfannkuch citation: ama: 'Biehler R, Frischemeier D, Gould R, Pfannkuch M. Impacts of Digitalization on Content and Goals of Statistics Education. In: Pepin B, Gueudet G, Choppin J, eds. Handbook of Digital Resources in Mathematics Education. Springer International Publishing; 2023.' apa: Biehler, R., Frischemeier, D., Gould, R., & Pfannkuch, M. (2023). Impacts of Digitalization on Content and Goals of Statistics Education. In B. Pepin, G. Gueudet, & J. Choppin (Eds.), Handbook of Digital Resources in Mathematics Education. Springer International Publishing. bibtex: '@inbook{Biehler_Frischemeier_Gould_Pfannkuch_2023, place={Cham}, title={Impacts of Digitalization on Content and Goals of Statistics Education}, booktitle={Handbook of Digital Resources in Mathematics Education}, publisher={Springer International Publishing}, author={Biehler, Rolf and Frischemeier, Daniel and Gould, Ronald and Pfannkuch, Maxine}, editor={Pepin, Birgit and Gueudet, Ghislaine and Choppin, Jeffrey}, year={2023} }' chicago: 'Biehler, Rolf, Daniel Frischemeier, Ronald Gould, and Maxine Pfannkuch. “Impacts of Digitalization on Content and Goals of Statistics Education.” In Handbook of Digital Resources in Mathematics Education, edited by Birgit Pepin, Ghislaine Gueudet, and Jeffrey Choppin. Cham: Springer International Publishing, 2023.' ieee: 'R. Biehler, D. Frischemeier, R. Gould, and M. Pfannkuch, “Impacts of Digitalization on Content and Goals of Statistics Education,” in Handbook of Digital Resources in Mathematics Education, B. Pepin, G. Gueudet, and J. Choppin, Eds. Cham: Springer International Publishing, 2023.' mla: Biehler, Rolf, et al. “Impacts of Digitalization on Content and Goals of Statistics Education.” Handbook of Digital Resources in Mathematics Education, edited by Birgit Pepin et al., Springer International Publishing, 2023. short: 'R. Biehler, D. Frischemeier, R. Gould, M. Pfannkuch, in: B. Pepin, G. Gueudet, J. Choppin (Eds.), Handbook of Digital Resources in Mathematics Education, Springer International Publishing, Cham, 2023.' date_created: 2023-10-12T11:31:22Z date_updated: 2023-10-12T11:31:47Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' editor: - first_name: Birgit full_name: Pepin, Birgit last_name: Pepin - first_name: Ghislaine full_name: Gueudet, Ghislaine last_name: Gueudet - first_name: Jeffrey full_name: Choppin, Jeffrey last_name: Choppin language: - iso: eng place: Cham publication: Handbook of Digital Resources in Mathematics Education publisher: Springer International Publishing status: public title: Impacts of Digitalization on Content and Goals of Statistics Education type: book_chapter user_id: '37888' year: '2023' ... --- _id: '48319' author: - first_name: Dominik full_name: Leiss, Dominik last_name: Leiss - first_name: Kerstin full_name: Gerlach, Kerstin last_name: Gerlach - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel - first_name: Barbara full_name: Schmidt-Thieme, Barbara last_name: Schmidt-Thieme citation: ama: 'Leiss D, Gerlach K, Wessel L, Schmidt-Thieme B. Sprache und Mathematiklernen. In: Handbuch der Mathematikdidaktik. Springer Berlin Heidelberg; 2023:561-595. doi:10.1007/978-3-662-66604-3_18' apa: Leiss, D., Gerlach, K., Wessel, L., & Schmidt-Thieme, B. (2023). Sprache und Mathematiklernen. In Handbuch der Mathematikdidaktik (pp. 561–595). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-66604-3_18 bibtex: '@inbook{Leiss_Gerlach_Wessel_Schmidt-Thieme_2023, place={Berlin, Heidelberg}, title={Sprache und Mathematiklernen}, DOI={10.1007/978-3-662-66604-3_18}, booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer Berlin Heidelberg}, author={Leiss, Dominik and Gerlach, Kerstin and Wessel, Lena and Schmidt-Thieme, Barbara}, year={2023}, pages={561–595} }' chicago: 'Leiss, Dominik, Kerstin Gerlach, Lena Wessel, and Barbara Schmidt-Thieme. “Sprache und Mathematiklernen.” In Handbuch der Mathematikdidaktik, 561–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2023. https://doi.org/10.1007/978-3-662-66604-3_18.' ieee: 'D. Leiss, K. Gerlach, L. Wessel, and B. Schmidt-Thieme, “Sprache und Mathematiklernen,” in Handbuch der Mathematikdidaktik, Berlin, Heidelberg: Springer Berlin Heidelberg, 2023, pp. 561–595.' mla: Leiss, Dominik, et al. “Sprache und Mathematiklernen.” Handbuch der Mathematikdidaktik, Springer Berlin Heidelberg, 2023, pp. 561–95, doi:10.1007/978-3-662-66604-3_18. short: 'D. Leiss, K. Gerlach, L. Wessel, B. Schmidt-Thieme, in: Handbuch der Mathematikdidaktik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2023, pp. 561–595.' date_created: 2023-10-19T09:12:45Z date_updated: 2023-10-19T09:33:54Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '643' doi: 10.1007/978-3-662-66604-3_18 language: - iso: ger page: 561-595 place: Berlin, Heidelberg publication: Handbuch der Mathematikdidaktik publication_identifier: isbn: - '9783662666036' - '9783662666043' publication_status: published publisher: Springer Berlin Heidelberg status: public title: Sprache und Mathematiklernen type: book_chapter user_id: '37888' year: '2023' ... --- _id: '48480' author: - first_name: Jörg full_name: Kortmeyer, Jörg last_name: Kortmeyer - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Kortmeyer J, Biehler R. The use of integrals for accumulation and mean values in basic electrical engineering courses. In: Dreyfus T, Gonzalez-Martin AS, Nardi E, Monaghan J, Thompson PW, eds. The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference. MatRIC; 2023:121-124.' apa: Kortmeyer, J., & Biehler, R. (2023). The use of integrals for accumulation and mean values in basic electrical engineering courses. In T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, & P. W. Thompson (Eds.), The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference (pp. 121–124). MatRIC. bibtex: '@inbook{Kortmeyer_Biehler_2023, title={The use of integrals for accumulation and mean values in basic electrical engineering courses}, booktitle={The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference}, publisher={MatRIC}, author={Kortmeyer, Jörg and Biehler, Rolf}, editor={Dreyfus, T. and Gonzalez-Martin, A. S. and Nardi, E. and Monaghan, J. and Thompson, P. W.}, year={2023}, pages={121–124} }' chicago: Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation and Mean Values in Basic Electrical Engineering Courses.” In The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, edited by T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W. Thompson, 121–24. MatRIC, 2023. ieee: J. Kortmeyer and R. Biehler, “The use of integrals for accumulation and mean values in basic electrical engineering courses,” in The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W. Thompson, Eds. MatRIC, 2023, pp. 121–124. mla: Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation and Mean Values in Basic Electrical Engineering Courses.” The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, edited by T. Dreyfus et al., MatRIC, 2023, pp. 121–24. short: 'J. Kortmeyer, R. Biehler, in: T. Dreyfus, A.S. Gonzalez-Martin, E. Nardi, J. Monaghan, P.W. Thompson (Eds.), The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, MatRIC, 2023, pp. 121–124.' date_created: 2023-10-26T07:01:34Z date_updated: 2023-10-26T07:01:40Z ddc: - '510' department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' editor: - first_name: T. full_name: Dreyfus, T. last_name: Dreyfus - first_name: A. S. full_name: Gonzalez-Martin, A. S. last_name: Gonzalez-Martin - first_name: E. full_name: Nardi, E. last_name: Nardi - first_name: J. full_name: Monaghan, J. last_name: Monaghan - first_name: P. W. full_name: Thompson, P. W. last_name: Thompson file: - access_level: closed content_type: application/pdf creator: krueter date_created: 2023-10-26T07:00:55Z date_updated: 2023-10-26T07:00:55Z file_id: '48481' file_name: Kortemeyer Biehler aus CalcConf2023_Proceedings.pdf file_size: 1389445 relation: main_file success: 1 file_date_updated: 2023-10-26T07:00:55Z has_accepted_license: '1' language: - iso: eng page: 121-124 publication: The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference publisher: MatRIC status: public title: The use of integrals for accumulation and mean values in basic electrical engineering courses type: book_chapter user_id: '37888' year: '2023' ... --- _id: '49049' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Katja full_name: Krüger, Katja last_name: Krüger citation: ama: 'Biehler R, Krüger K. Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel. GDM-Mitteilungen. 2023;(115):57-65.' apa: 'Biehler, R., & Krüger, K. (2023). Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel. GDM-Mitteilungen, 115, 57–65.' bibtex: '@article{Biehler_Krüger_2023, title={Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel}, number={115}, journal={GDM-Mitteilungen}, author={Biehler, Rolf and Krüger, Katja}, year={2023}, pages={57–65} }' chicago: 'Biehler, Rolf, and Katja Krüger. “Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel.” GDM-Mitteilungen, no. 115 (2023): 57–65.' ieee: 'R. Biehler and K. Krüger, “Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel,” GDM-Mitteilungen, no. 115, pp. 57–65, 2023.' mla: 'Biehler, Rolf, and Katja Krüger. “Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel.” GDM-Mitteilungen, no. 115, 2023, pp. 57–65.' short: R. Biehler, K. Krüger, GDM-Mitteilungen (2023) 57–65. date_created: 2023-11-20T08:23:51Z date_updated: 2023-11-20T08:23:56Z ddc: - '510' department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' file: - access_level: closed content_type: application/pdf creator: krueter date_created: 2023-11-20T08:23:14Z date_updated: 2023-11-20T08:23:14Z file_id: '49050' file_name: Biehler_2023_NachrufEngel_MGM115.pdf file_size: 316979 relation: main_file success: 1 file_date_updated: 2023-11-20T08:23:14Z has_accepted_license: '1' issue: '115' language: - iso: ger page: 57-65 publication: GDM-Mitteilungen status: public title: 'Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel' type: journal_article user_id: '37888' year: '2023' ... --- _id: '46756' author: - first_name: Melina full_name: Wallner, Melina id: '45445' last_name: Wallner - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide citation: ama: 'Wallner M, Häsel-Weide U. Conceptual understanding of third grades for axial symmetry. In: Novotna J, Moraova H, eds. International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education. Charles University; 2023:346-354.' apa: 'Wallner, M., & Häsel-Weide, U. (2023). Conceptual understanding of third grades for axial symmetry. In J. Novotna & H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education (pp. 346–354). Charles University.' bibtex: '@inproceedings{Wallner_Häsel-Weide_2023, title={Conceptual understanding of third grades for axial symmetry}, booktitle={International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education}, publisher={Charles University}, author={Wallner, Melina and Häsel-Weide, Uta}, editor={Novotna, J. and Moraova, H.}, year={2023}, pages={346–354} }' chicago: 'Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third Grades for Axial Symmetry.” In International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, 346–54. Charles University, 2023.' ieee: 'M. Wallner and U. Häsel-Weide, “Conceptual understanding of third grades for axial symmetry,” in International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Prag, 2023, pp. 346–354.' mla: 'Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third Grades for Axial Symmetry.” International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, Charles University, 2023, pp. 346–54.' short: 'M. Wallner, U. Häsel-Weide, in: J. Novotna, H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Charles University, 2023, pp. 346–354.' conference: location: Prag name: International Symposium in Elementary Mathematics Teaching date_created: 2023-08-30T09:24:29Z date_updated: 2023-11-24T16:33:37Z department: - _id: '543' editor: - first_name: J. full_name: Novotna, J. last_name: Novotna - first_name: H. full_name: Moraova, H. last_name: Moraova language: - iso: eng main_file_link: - url: https://semt.cz/proceedings/semt-23.pdf page: 346-354 publication: 'International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education' publisher: Charles University status: public title: Conceptual understanding of third grades for axial symmetry type: conference user_id: '45445' year: '2023' ... --- _id: '49326' abstract: - lang: eng text: Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by defining a class of admissible maps for every such hypernetwork. We explain how to classify robust cluster synchronization patterns on hypernetworks by finding balanced partitions, and we generalize the concept of a graph fibration to the hypernetwork context. We also show that robust synchronization patterns are only fully determined by polynomial admissible maps of high order. This means that, unlike in dyadic networks, cluster synchronization on hypernetworks is a higher-order, i.e., nonlinear, effect. We give a formula, in terms of the order of the hypernetwork, for the degree of the polynomial admissible maps that determine robust synchronization patterns. We also demonstrate that this degree is optimal by investigating a class of examples. We conclude by demonstrating how this effect may cause remarkable synchrony breaking bifurcations that occur at high polynomial degree. author: - first_name: Sören full_name: von der Gracht, Sören id: '97359' last_name: von der Gracht orcid: 0000-0002-8054-2058 - first_name: Eddie full_name: Nijholt, Eddie last_name: Nijholt - first_name: Bob full_name: Rink, Bob last_name: Rink citation: ama: 'von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics. 2023;83(6):2329-2353. doi:10.1137/23m1561075' apa: 'von der Gracht, S., Nijholt, E., & Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353. https://doi.org/10.1137/23m1561075' bibtex: '@article{von der Gracht_Nijholt_Rink_2023, title={Hypernetworks: Cluster Synchronization Is a Higher-Order Effect}, volume={83}, DOI={10.1137/23m1561075}, number={6}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023}, pages={2329–2353} }' chicago: 'Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics 83, no. 6 (2023): 2329–53. https://doi.org/10.1137/23m1561075.' ieee: 'S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.' mla: 'von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:10.1137/23m1561075.' short: S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353. date_created: 2023-11-29T10:50:05Z date_updated: 2023-11-29T10:52:23Z department: - _id: '101' doi: 10.1137/23m1561075 external_id: arxiv: - '2302.08974' intvolume: ' 83' issue: '6' keyword: - Applied Mathematics language: - iso: eng page: 2329-2353 publication: SIAM Journal on Applied Mathematics publication_identifier: issn: - 0036-1399 - 1095-712X publication_status: published publisher: Society for Industrial & Applied Mathematics (SIAM) status: public title: 'Hypernetworks: Cluster Synchronization Is a Higher-Order Effect' type: journal_article user_id: '97359' volume: 83 year: '2023' ... --- _id: '49371' abstract: - lang: eng text: "To model dynamical systems on networks with higher order (non-pairwise)\r\ninteractions, we recently introduced a new class of ODEs on hypernetworks. Here\r\nwe consider one-parameter synchrony breaking bifurcations in such ODEs. We call\r\na synchrony breaking steady state branch \"reluctant\" if it is tangent to a\r\nsynchrony space, but does not lie inside it. We prove that reluctant synchrony\r\nbreaking is ubiquitous in hypernetwork systems, by constructing a large class\r\nof examples that support it. We also give an explicit formula for the order of\r\ntangency to the synchrony space of a reluctant steady state branch." author: - first_name: Sören full_name: von der Gracht, Sören id: '97359' last_name: von der Gracht orcid: 0000-0002-8054-2058 - first_name: Eddie full_name: Nijholt, Eddie last_name: Nijholt - first_name: Bob full_name: Rink, Bob last_name: Rink citation: ama: von der Gracht S, Nijholt E, Rink B. Higher order interactions lead to “reluctant” synchrony breaking. arXiv:231117186. Published online 2023. apa: von der Gracht, S., Nijholt, E., & Rink, B. (2023). Higher order interactions lead to “reluctant” synchrony breaking. In arXiv:2311.17186. bibtex: '@article{von der Gracht_Nijholt_Rink_2023, title={Higher order interactions lead to “reluctant” synchrony breaking}, journal={arXiv:2311.17186}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023} }' chicago: Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” ArXiv:2311.17186, 2023. ieee: S. von der Gracht, E. Nijholt, and B. Rink, “Higher order interactions lead to ‘reluctant’ synchrony breaking,” arXiv:2311.17186. 2023. mla: von der Gracht, Sören, et al. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” ArXiv:2311.17186, 2023. short: S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023). date_created: 2023-12-01T06:35:29Z date_updated: 2023-12-01T06:38:44Z department: - _id: '101' external_id: arxiv: - '2311.17186' language: - iso: eng publication: arXiv:2311.17186 status: public title: Higher order interactions lead to "reluctant" synchrony breaking type: preprint user_id: '97359' year: '2023' ... --- _id: '49372' author: - first_name: Jürgen full_name: Klüners, Jürgen id: '21202' last_name: Klüners - first_name: Jiuya full_name: Wang, Jiuya last_name: Wang citation: ama: Klüners J, Wang J. Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. Published online 2023. doi:10.1007/s44007-023-00067-w apa: Klüners, J., & Wang, J. (2023). Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. https://doi.org/10.1007/s44007-023-00067-w bibtex: '@article{Klüners_Wang_2023, title={Idélic Approach in Enumerating Heisenberg Extensions}, DOI={10.1007/s44007-023-00067-w}, journal={La Matematica}, publisher={Springer Science and Business Media LLC}, author={Klüners, Jürgen and Wang, Jiuya}, year={2023} }' chicago: Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, 2023. https://doi.org/10.1007/s44007-023-00067-w. ieee: 'J. Klüners and J. Wang, “Idélic Approach in Enumerating Heisenberg Extensions,” La Matematica, 2023, doi: 10.1007/s44007-023-00067-w.' mla: Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, Springer Science and Business Media LLC, 2023, doi:10.1007/s44007-023-00067-w. short: J. Klüners, J. Wang, La Matematica (2023). date_created: 2023-12-01T09:23:59Z date_updated: 2023-12-06T09:50:43Z department: - _id: '102' doi: 10.1007/s44007-023-00067-w language: - iso: eng publication: La Matematica publication_identifier: issn: - 2730-9657 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Idélic Approach in Enumerating Heisenberg Extensions type: journal_article user_id: '21202' year: '2023' ... --- _id: '49425' author: - first_name: Simone full_name: Seitz, Simone last_name: Seitz - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: Yannik full_name: Wilke, Yannik last_name: Wilke - first_name: Melina full_name: Wallner, Melina id: '45445' last_name: Wallner citation: ama: 'Seitz S, Häsel-Weide U, Wilke Y, Wallner M. Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research. Teachers and Teaching. Published online 2023:1-16. doi:https://doi.org/10.1080/13540602.2023.2284876 ' apa: 'Seitz, S., Häsel-Weide, U., Wilke, Y., & Wallner, M. (2023). Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research. Teachers and Teaching, 1–16. https://doi.org/10.1080/13540602.2023.2284876 ' bibtex: '@article{Seitz_Häsel-Weide_Wilke_Wallner_2023, title={Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research}, DOI={https://doi.org/10.1080/13540602.2023.2284876 }, journal={Teachers and Teaching}, author={Seitz, Simone and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina}, year={2023}, pages={1–16} }' chicago: 'Seitz, Simone, Uta Häsel-Weide, Yannik Wilke, and Melina Wallner. “Expertise and Professionalism for Inclusive (Mathematics) Teaching and Learning: Reflections on Findings from Interdisciplinary Professionalisation Research.” Teachers and Teaching, 2023, 1–16. https://doi.org/10.1080/13540602.2023.2284876 .' ieee: 'S. Seitz, U. Häsel-Weide, Y. Wilke, and M. Wallner, “Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research,” Teachers and Teaching, pp. 1–16, 2023, doi: https://doi.org/10.1080/13540602.2023.2284876 .' mla: 'Seitz, Simone, et al. “Expertise and Professionalism for Inclusive (Mathematics) Teaching and Learning: Reflections on Findings from Interdisciplinary Professionalisation Research.” Teachers and Teaching, 2023, pp. 1–16, doi:https://doi.org/10.1080/13540602.2023.2284876 .' short: S. Seitz, U. Häsel-Weide, Y. Wilke, M. Wallner, Teachers and Teaching (2023) 1–16. date_created: 2023-12-04T09:45:04Z date_updated: 2023-12-13T12:51:03Z department: - _id: '543' doi: 'https://doi.org/10.1080/13540602.2023.2284876 ' language: - iso: eng page: 1-16 publication: Teachers and Teaching status: public title: 'Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research' type: journal_article user_id: '45445' year: '2023' ... --- _id: '34135' abstract: - lang: eng text: By one of the most fundamental principles in physics, a dynamical system will exhibit those motions which extremise an action functional. This leads to the formation of the Euler-Lagrange equations, which serve as a model of how the system will behave in time. If the dynamics exhibit additional symmetries, then the motion fulfils additional conservation laws, such as conservation of energy (time invariance), momentum (translation invariance), or angular momentum (rotational invariance). To learn a system representation, one could learn the discrete Euler-Lagrange equations, or alternatively, learn the discrete Lagrangian function Ld which defines them. Based on ideas from Lie group theory, in this work we introduce a framework to learn a discrete Lagrangian along with its symmetry group from discrete observations of motions and, therefore, identify conserved quantities. The learning process does not restrict the form of the Lagrangian, does not require velocity or momentum observations or predictions and incorporates a cost term which safeguards against unwanted solutions and against potential numerical issues in forward simulations. The learnt discrete quantities are related to their continuous analogues using variational backward error analysis and numerical results demonstrate the improvement such models can have both qualitatively and quantitatively even in the presence of noise. author: - first_name: Yana full_name: Lishkova, Yana last_name: Lishkova - first_name: Paul full_name: Scherer, Paul last_name: Scherer - first_name: Steffen full_name: Ridderbusch, Steffen last_name: Ridderbusch - first_name: Mateja full_name: Jamnik, Mateja last_name: Jamnik - first_name: Pietro full_name: Liò, Pietro last_name: Liò - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 citation: ama: 'Lishkova Y, Scherer P, Ridderbusch S, et al. Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. In: IFAC-PapersOnLine. Vol 56. Elsevier; 2023:3203-3210. doi:10.1016/j.ifacol.2023.10.1457' apa: Lishkova, Y., Scherer, P., Ridderbusch, S., Jamnik, M., Liò, P., Ober-Blöbaum, S., & Offen, C. (2023). Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. IFAC-PapersOnLine, 56(2), 3203–3210. https://doi.org/10.1016/j.ifacol.2023.10.1457 bibtex: '@inproceedings{Lishkova_Scherer_Ridderbusch_Jamnik_Liò_Ober-Blöbaum_Offen_2023, title={Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery}, volume={56}, DOI={10.1016/j.ifacol.2023.10.1457}, number={2}, booktitle={IFAC-PapersOnLine}, publisher={Elsevier}, author={Lishkova, Yana and Scherer, Paul and Ridderbusch, Steffen and Jamnik, Mateja and Liò, Pietro and Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={3203–3210} }' chicago: Lishkova, Yana, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, and Christian Offen. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” In IFAC-PapersOnLine, 56:3203–10. Elsevier, 2023. https://doi.org/10.1016/j.ifacol.2023.10.1457. ieee: 'Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,” in IFAC-PapersOnLine, Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi: 10.1016/j.ifacol.2023.10.1457.' mla: Lishkova, Yana, et al. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” IFAC-PapersOnLine, vol. 56, no. 2, Elsevier, 2023, pp. 3203–10, doi:10.1016/j.ifacol.2023.10.1457. short: 'Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.' conference: end_date: 2023-07-14 location: ' Yokohama, Japan' name: The 22nd World Congress of the International Federation of Automatic Control start_date: 2023-07-09 date_created: 2022-11-23T08:17:10Z date_updated: 2023-12-29T14:26:00Z ddc: - '510' department: - _id: '636' doi: 10.1016/j.ifacol.2023.10.1457 external_id: arxiv: - '2211.10830' file: - access_level: open_access content_type: application/pdf creator: coffen date_created: 2023-04-17T08:05:55Z date_updated: 2023-04-17T08:05:55Z description: |- By one of the most fundamental principles in physics, a dynamical system will exhibit those motions which extremise an action functional. This leads to the formation of the Euler-Lagrange equations, which serve as a model of how the system will behave in time. If the dynamics exhibit additional symmetries, then the motion fulfils additional conservation laws, such as conservation of energy (time invariance), momentum (translation invariance), or angular momentum (rotational invariance). To learn a system representation, one could learn the discrete Euler-Lagrange equations, or alternatively, learn the discrete Lagrangian function Ld which defines them. Based on ideas from Lie group theory, we introduce a framework to learn a discrete Lagrangian along with its symmetry group from discrete observations of motions and, therefore, identify conserved quantities. The learning process does not restrict the form of the Lagrangian, does not require velocity or momentum observations or predictions and incorporates a cost term which safeguards against unwanted solutions and against potential numerical issues in forward simulations. The learnt discrete quantities are related to their continuous analogues using variational backward error analysis and numerical results demonstrate the improvement such models can have both qualitatively and quantitatively even in the presence of noise. file_id: '44037' file_name: LNN_project.pdf file_size: 576115 relation: main_file title: Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery file_date_updated: 2023-04-17T08:05:55Z has_accepted_license: '1' intvolume: ' 56' issue: '2' language: - iso: eng main_file_link: - url: https://www.sciencedirect.com/science/article/pii/S2405896323018657 oa: '1' page: 3203-3210 publication: IFAC-PapersOnLine publication_status: published publisher: Elsevier quality_controlled: '1' related_material: link: - description: GitHub relation: software url: https://github.com/yanalish/SymDLNN status: public title: Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery type: conference user_id: '85279' volume: 56 year: '2023' ... --- _id: '44840' abstract: - lang: eng text: "In this article we investigate the convergence behavior of gathering protocols with fixed circulant topologies using tools form dynamical systems. Given a fixed number of mobile entities moving in the Euclidean plane, we model a gathering protocol as a system of ordinary differential equations whose equilibria are exactly all possible gathering points. Then, we find necessary and sufficient conditions for the structure of the underlying interaction graph such that the protocol is stable and converging, i.e., gathering, in the distributive computing sense by using tools from dynamical systems. Moreover, these tools allow for a more fine grained analysis in terms of speed of convergence in the dynamical systems sense. In fact, we derive a decomposition\r\nof the state space into stable invariant subspaces with different convergence\r\nrates. In particular, this decomposition is identical for every (linear)\r\ncirculant gathering protocol, whereas only the convergence rates depend on the\r\nweights in interaction graph itself." author: - first_name: Raphael full_name: Gerlach, Raphael id: '32655' last_name: Gerlach - first_name: Sören full_name: von der Gracht, Sören id: '97359' last_name: von der Gracht orcid: 0000-0002-8054-2058 - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz citation: ama: Gerlach R, von der Gracht S, Dellnitz M. On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies. arXiv:230506632. apa: Gerlach, R., von der Gracht, S., & Dellnitz, M. (n.d.). On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies. In arXiv:2305.06632. bibtex: '@article{Gerlach_von der Gracht_Dellnitz, title={On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies}, journal={arXiv:2305.06632}, author={Gerlach, Raphael and von der Gracht, Sören and Dellnitz, Michael} }' chicago: Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies.” ArXiv:2305.06632, n.d. ieee: R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies,” arXiv:2305.06632. . mla: Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies.” ArXiv:2305.06632. short: R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.). date_created: 2023-05-12T10:16:06Z date_updated: 2024-01-03T17:00:48Z department: - _id: '101' external_id: arxiv: - '2305.06632' keyword: - Dynamical Systems - Coupled Systems - Distributed Computing - Robot Swarms - Autonomous Mobile Robots - Gathering language: - iso: eng main_file_link: - url: https://arxiv.org/abs/2305.06632 page: '38' project: - _id: '106' grant_number: '453112019' name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme' publication: arXiv:2305.06632 publication_status: submitted related_material: link: - relation: supplementary_material url: https://math.uni-paderborn.de/en/ag/chair-of-applied-mathematics/research/research-projects/swarmdynamics status: public title: On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies type: preprint user_id: '32655' year: '2023' ... --- _id: '50298' abstract: - lang: eng text: A finite classical polar space of rank $n$ consists of the totally isotropic subspaces of a finite vector space equipped with a nondegenerate form such that $n$ is the maximal dimension of such a subspace. A $t$-Steiner system in a finite classical polar space of rank $n$ is a collection $Y$ of totally isotropic $n$-spaces such that each totally isotropic $t$-space is contained in exactly one member of $Y$. Nontrivial examples are known only for $t=1$ and $t=n-1$. We give an almost complete classification of such $t$-Steiner systems, showing that such objects can only exist in some corner cases. This classification result arises from a more general result on packings in polar spaces. author: - first_name: Kai-Uwe full_name: Schmidt, Kai-Uwe last_name: Schmidt - first_name: Charlene full_name: Weiß, Charlene id: '70420' last_name: Weiß citation: ama: Schmidt K-U, Weiß C. Packings and Steiner systems in polar spaces. Combinatorial Theory. 2023;3(1). doi:10.5070/c63160424 apa: Schmidt, K.-U., & Weiß, C. (2023). Packings and Steiner systems in polar spaces. Combinatorial Theory, 3(1). https://doi.org/10.5070/c63160424 bibtex: '@article{Schmidt_Weiß_2023, title={Packings and Steiner systems in polar spaces}, volume={3}, DOI={10.5070/c63160424}, number={1}, journal={Combinatorial Theory}, author={Schmidt, Kai-Uwe and Weiß, Charlene}, year={2023} }' chicago: Schmidt, Kai-Uwe, and Charlene Weiß. “Packings and Steiner Systems in Polar Spaces.” Combinatorial Theory 3, no. 1 (2023). https://doi.org/10.5070/c63160424. ieee: 'K.-U. Schmidt and C. Weiß, “Packings and Steiner systems in polar spaces,” Combinatorial Theory, vol. 3, no. 1, 2023, doi: 10.5070/c63160424.' mla: Schmidt, Kai-Uwe, and Charlene Weiß. “Packings and Steiner Systems in Polar Spaces.” Combinatorial Theory, vol. 3, no. 1, 2023, doi:10.5070/c63160424. short: K.-U. Schmidt, C. Weiß, Combinatorial Theory 3 (2023). date_created: 2024-01-08T14:33:54Z date_updated: 2024-01-08T14:39:20Z department: - _id: '100' doi: 10.5070/c63160424 intvolume: ' 3' issue: '1' language: - iso: eng publication: Combinatorial Theory publication_status: published status: public title: Packings and Steiner systems in polar spaces type: journal_article user_id: '70420' volume: 3 year: '2023' ... --- _id: '50297' abstract: - lang: eng text: We show that there exist ordered orthogonal arrays, whose sizes deviate from the Rao bound by a factor that is polynomial in the parameters of the ordered orthogonal array. The proof is nonconstructive and based on a probabilistic method due to Kuperberg, Lovett and Peled. author: - first_name: Kai‐Uwe full_name: Schmidt, Kai‐Uwe last_name: Schmidt - first_name: Charlene full_name: Weiß, Charlene id: '70420' last_name: Weiß citation: ama: Schmidt K, Weiß C. Existence of small ordered orthogonal arrays. Journal of Combinatorial Designs. 2023;31(9):422-431. doi:10.1002/jcd.21903 apa: Schmidt, K., & Weiß, C. (2023). Existence of small ordered orthogonal arrays. Journal of Combinatorial Designs, 31(9), 422–431. https://doi.org/10.1002/jcd.21903 bibtex: '@article{Schmidt_Weiß_2023, title={Existence of small ordered orthogonal arrays}, volume={31}, DOI={10.1002/jcd.21903}, number={9}, journal={Journal of Combinatorial Designs}, publisher={Wiley}, author={Schmidt, Kai‐Uwe and Weiß, Charlene}, year={2023}, pages={422–431} }' chicago: 'Schmidt, Kai‐Uwe, and Charlene Weiß. “Existence of Small Ordered Orthogonal Arrays.” Journal of Combinatorial Designs 31, no. 9 (2023): 422–31. https://doi.org/10.1002/jcd.21903.' ieee: 'K. Schmidt and C. Weiß, “Existence of small ordered orthogonal arrays,” Journal of Combinatorial Designs, vol. 31, no. 9, pp. 422–431, 2023, doi: 10.1002/jcd.21903.' mla: Schmidt, Kai‐Uwe, and Charlene Weiß. “Existence of Small Ordered Orthogonal Arrays.” Journal of Combinatorial Designs, vol. 31, no. 9, Wiley, 2023, pp. 422–31, doi:10.1002/jcd.21903. short: K. Schmidt, C. Weiß, Journal of Combinatorial Designs 31 (2023) 422–431. date_created: 2024-01-08T14:25:28Z date_updated: 2024-01-08T14:38:53Z department: - _id: '100' doi: 10.1002/jcd.21903 intvolume: ' 31' issue: '9' language: - iso: eng page: 422-431 publication: Journal of Combinatorial Designs publication_status: published publisher: Wiley status: public title: Existence of small ordered orthogonal arrays type: journal_article user_id: '70420' volume: 31 year: '2023' ... --- _id: '50300' abstract: - lang: eng text: Digital communications relies heavily on the usage of different types of codes. Prominent codes nowadays are rank-metric codes and subspace codes - the q-analogs of binary codes and binary codes with constant weight. All these codes can be viewed as subsets of classical association schemes. A central coding-theoretic problem is to derive upper bounds for the size of codes. This thesis investigates Delsartes powerful linear program whose optimum is precisely such a bound for codes in association schemes. The linear programs for binary codes and binary constant-weight codes have been extensively studied since the 1970s, but their optimum is still unknown. We determine in a unified way the optimum of the linear program in several ordinary q-analogs as well as in their affine counterparts. In particular, bounds and constructions for codes in polar spaces are established, where the bounds are sharp up to a constant factor in many cases. Moreover, based on these results, an almost complete classification of Steiner systems in polar spaces is provided by showing that they could only exist in some corner cases. author: - first_name: Charlene full_name: Weiß, Charlene id: '70420' last_name: Weiß citation: ama: Weiß C. Linear Programming Bounds in Classical Association Schemes.; 2023. doi:10.17619/UNIPB/1-1672 apa: Weiß, C. (2023). Linear programming bounds in classical association schemes. https://doi.org/10.17619/UNIPB/1-1672 bibtex: '@book{Weiß_2023, title={Linear programming bounds in classical association schemes}, DOI={10.17619/UNIPB/1-1672}, author={Weiß, Charlene}, year={2023} }' chicago: Weiß, Charlene. Linear Programming Bounds in Classical Association Schemes, 2023. https://doi.org/10.17619/UNIPB/1-1672. ieee: C. Weiß, Linear programming bounds in classical association schemes. 2023. mla: Weiß, Charlene. Linear Programming Bounds in Classical Association Schemes. 2023, doi:10.17619/UNIPB/1-1672. short: C. Weiß, Linear Programming Bounds in Classical Association Schemes, 2023. date_created: 2024-01-08T14:42:12Z date_updated: 2024-01-08T14:46:14Z department: - _id: '100' doi: 10.17619/UNIPB/1-1672 language: - iso: eng status: public title: Linear programming bounds in classical association schemes type: dissertation user_id: '70420' year: '2023' ... --- _id: '50299' abstract: - lang: eng text: "A finite classical polar space of rank $n$ consists of the totally isotropic\r\nsubspaces of a finite vector space over $\\mathbb{F}_p$ equipped with a\r\nnondegenerate form such that $n$ is the maximal dimension of such a subspace. A\r\n$t$-$(n,k,\\lambda)$ design in a finite classical polar space of rank $n$ is a\r\ncollection $Y$ of totally isotropic $k$-spaces such that each totally isotropic\r\n$t$-space is contained in exactly $\\lambda$ members of $Y$. Nontrivial examples\r\nare currently only known for $t\\leq 2$. We show that $t$-$(n,k,\\lambda)$\r\ndesigns in polar spaces exist for all $t$ and $p$ provided that\r\n$k>\\frac{21}{2}t$ and $n$ is sufficiently large enough. The proof is based on a\r\nprobabilistic method by Kuperberg, Lovett, and Peled, and it is thus\r\nnonconstructive." author: - first_name: Charlene full_name: Weiß, Charlene id: '70420' last_name: Weiß citation: ama: Weiß C. Nontrivial $t$-designs in polar spaces exist for all $t$. arXiv:231108288. apa: Weiß, C. (n.d.). Nontrivial $t$-designs in polar spaces exist for all $t$. In arXiv:2311.08288. bibtex: '@article{Weiß, title={Nontrivial $t$-designs in polar spaces exist for all $t$}, journal={arXiv:2311.08288}, author={Weiß, Charlene} }' chicago: Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.” ArXiv:2311.08288, n.d. ieee: C. Weiß, “Nontrivial $t$-designs in polar spaces exist for all $t$,” arXiv:2311.08288. . mla: Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.” ArXiv:2311.08288. short: C. Weiß, ArXiv:2311.08288 (n.d.). date_created: 2024-01-08T14:39:54Z date_updated: 2024-01-08T14:41:18Z department: - _id: '100' external_id: arxiv: - '2311.08288' language: - iso: eng publication: arXiv:2311.08288 publication_status: submitted status: public title: Nontrivial $t$-designs in polar spaces exist for all $t$ type: preprint user_id: '70420' year: '2023' ... --- _id: '48596' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: R. full_name: Schmidt, R. last_name: Schmidt - first_name: Petra full_name: Büker, Petra id: '21978' last_name: Büker citation: ama: 'Häsel-Weide U, Schmidt R, Büker P. „FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung. Zeitschrift für Schul- Und Professionsentwicklung (PFLB). 2023;5(1):215-229.' apa: 'Häsel-Weide, U., Schmidt, R., & Büker, P. (2023). „FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung. Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB), 5(1), 215–229.' bibtex: '@article{Häsel-Weide_Schmidt_Büker_2023, title={„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung}, volume={5}, number={1}, journal={Zeitschrift für Schul- Und Professionsentwicklung. (PFLB)}, author={Häsel-Weide, Uta and Schmidt, R. and Büker, Petra}, year={2023}, pages={215–229} }' chicago: 'Häsel-Weide, Uta, R. Schmidt, and Petra Büker. “„FInDig“: Fach – Inklusion – Digitalisierung Vernetzen. Ein Planungs- Und Reflexionsmodell Für Die Lehrkräftebildung.” Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB) 5, no. 1 (2023): 215–29.' ieee: 'U. Häsel-Weide, R. Schmidt, and P. Büker, “„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung,” Zeitschrift für Schul- Und Professionsentwicklung. (PFLB), vol. 5, no. 1, pp. 215–229, 2023.' mla: 'Häsel-Weide, Uta, et al. “„FInDig“: Fach – Inklusion – Digitalisierung Vernetzen. Ein Planungs- Und Reflexionsmodell Für Die Lehrkräftebildung.” Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB), vol. 5, no. 1, 2023, pp. 215–29.' short: U. Häsel-Weide, R. Schmidt, P. Büker, Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB) 5 (2023) 215–229. date_created: 2023-11-02T11:22:34Z date_updated: 2024-01-11T13:32:19Z department: - _id: '543' - _id: '458' intvolume: ' 5' issue: '1' language: - iso: eng page: 215-229 publication: Zeitschrift für Schul- Und Professionsentwicklung. (PFLB) related_material: link: - relation: original url: 'https://doi.org/10.11576/pflb-6763 ' status: public title: '„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung' type: journal_article user_id: '14931' volume: 5 year: '2023' ... --- _id: '51131' author: - first_name: Lara Marie full_name: Graf, Lara Marie id: '89837' last_name: Graf - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: K. full_name: Höveler, K. last_name: Höveler - first_name: M. full_name: Nührenbörger, M. last_name: Nührenbörger citation: ama: 'Graf LM, Häsel-Weide U, Höveler K, Nührenbörger M. Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics. In: Drijvers P, Csapodi C, Palmér H, Gosztonyi K, Kónya E, Alfréd Rényi Institute of Mathematics and ERME, eds. Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). ; 2023:3203-3210.' apa: 'Graf, L. M., Häsel-Weide, U., Höveler, K., & Nührenbörger, M. (2023). Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics. In P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, & Alfréd Rényi Institute of Mathematics and ERME (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (pp. 3203–3210).' bibtex: '@inproceedings{Graf_Häsel-Weide_Höveler_Nührenbörger_2023, title={Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics}, booktitle={Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)}, author={Graf, Lara Marie and Häsel-Weide, Uta and Höveler, K. and Nührenbörger, M.}, editor={Drijvers, P. and Csapodi, C. and Palmér, H. and Gosztonyi, K. and Kónya, E. and Alfréd Rényi Institute of Mathematics and ERME}, year={2023}, pages={3203–3210} }' chicago: 'Graf, Lara Marie, Uta Häsel-Weide, K. Höveler, and M. Nührenbörger. “Insights into Out-of-Field Teachers’ Self-Reports: Fostering the Understanding of Addition and Subtraction as a Basis for Children to Overcome Difficulties in Mathematics.” In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, and Alfréd Rényi Institute of Mathematics and ERME, 3203–10, 2023.' ieee: 'L. M. Graf, U. Häsel-Weide, K. Höveler, and M. Nührenbörger, “Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics,” in Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), 2023, pp. 3203–3210.' mla: 'Graf, Lara Marie, et al. “Insights into Out-of-Field Teachers’ Self-Reports: Fostering the Understanding of Addition and Subtraction as a Basis for Children to Overcome Difficulties in Mathematics.” Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by P. Drijvers et al., 2023, pp. 3203–10.' short: 'L.M. Graf, U. Häsel-Weide, K. Höveler, M. Nührenbörger, in: P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, Alfréd Rényi Institute of Mathematics and ERME (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), 2023, pp. 3203–3210.' corporate_editor: - Alfréd Rényi Institute of Mathematics and ERME date_created: 2024-02-05T08:47:35Z date_updated: 2024-02-05T08:55:43Z department: - _id: '543' editor: - first_name: P. full_name: Drijvers, P. last_name: Drijvers - first_name: C. full_name: Csapodi, C. last_name: Csapodi - first_name: H. full_name: Palmér, H. last_name: Palmér - first_name: K. full_name: Gosztonyi, K. last_name: Gosztonyi - first_name: E. full_name: Kónya, E. last_name: Kónya language: - iso: eng page: 3203-3210 publication: Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) status: public title: 'Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics' type: conference user_id: '14931' year: '2023' ... --- _id: '31189' abstract: - lang: eng text: "Given a geometrically finite hyperbolic surface of infinite volume it is a\r\nclassical result of Patterson that the positive Laplace-Beltrami operator has\r\nno $L^2$-eigenvalues $\\geq 1/4$. In this article we prove a generalization of\r\nthis result for the joint $L^2$-eigenvalues of the algebra of commuting\r\ndifferential operators on Riemannian locally symmetric spaces $\\Gamma\\backslash\r\nG/K$ of higher rank. We derive dynamical assumptions on the $\\Gamma$-action on\r\nthe geodesic and the Satake compactifications which imply the absence of the\r\ncorresponding principal eigenvalues. A large class of examples fulfilling these\r\nassumptions are the non-compact quotients by Anosov subgroups." author: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Lasse Lennart full_name: Wolf, Lasse Lennart id: '45027' last_name: Wolf citation: ama: Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally symmetric  spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1 apa: Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher rank locally symmetric  spaces. Communications in Mathematical Physics, 403. https://doi.org/10.1007/s00220-023-04819-1 bibtex: '@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher rank locally symmetric  spaces}, volume={403}, DOI={https://doi.org/10.1007/s00220-023-04819-1}, journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }' chicago: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric  Spaces.” Communications in Mathematical Physics 403 (2023). https://doi.org/10.1007/s00220-023-04819-1. ieee: 'T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank locally symmetric  spaces,” Communications in Mathematical Physics, vol. 403, 2023, doi: https://doi.org/10.1007/s00220-023-04819-1.' mla: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric  Spaces.” Communications in Mathematical Physics, vol. 403, 2023, doi:https://doi.org/10.1007/s00220-023-04819-1. short: T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023). date_created: 2022-05-11T10:38:11Z date_updated: 2024-02-06T20:52:40Z department: - _id: '10' - _id: '548' - _id: '623' doi: https://doi.org/10.1007/s00220-023-04819-1 external_id: arxiv: - '2205.03167' intvolume: ' 403' language: - iso: eng publication: Communications in Mathematical Physics publication_identifier: unknown: - 1275-1295 status: public title: Absence of principal eigenvalues for higher rank locally symmetric spaces type: journal_article user_id: '49178' volume: 403 year: '2023' ... --- _id: '31059' abstract: - lang: eng text: In this article we prove meromorphic continuation of weighted zeta functions in the framework of open hyperbolic systems by using the meromorphically continued restricted resolvent of Dyatlov and Guillarmou (2016). We obtain a residue formula proving equality between residues of weighted zetas and invariant Ruelle distributions. We combine this equality with results of Guillarmou, Hilgert and Weich (2021) in order to relate the residues to Patterson-Sullivan distributions. Finally we provide proof-of-principle results concerning the numerical calculation of invariant Ruelle distributions for 3-disc scattering systems. author: - first_name: Philipp full_name: Schütte, Philipp id: '50168' last_name: Schütte - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Sonja full_name: Barkhofen, Sonja id: '48188' last_name: Barkhofen citation: ama: Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics. 2023;398:655-678. doi:ttps://doi.org/10.1007/s00220-022-04538-z apa: Schütte, P., Weich, T., & Barkhofen, S. (2023). Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics, 398, 655–678. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z bibtex: '@article{Schütte_Weich_Barkhofen_2023, title={Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems}, volume={398}, DOI={ttps://doi.org/10.1007/s00220-022-04538-z}, journal={Communications in Mathematical Physics}, author={Schütte, Philipp and Weich, Tobias and Barkhofen, Sonja}, year={2023}, pages={655–678} }' chicago: 'Schütte, Philipp, Tobias Weich, and Sonja Barkhofen. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics 398 (2023): 655–78. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z.' ieee: 'P. Schütte, T. Weich, and S. Barkhofen, “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems,” Communications in Mathematical Physics, vol. 398, pp. 655–678, 2023, doi: ttps://doi.org/10.1007/s00220-022-04538-z.' mla: Schütte, Philipp, et al. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics, vol. 398, 2023, pp. 655–78, doi:ttps://doi.org/10.1007/s00220-022-04538-z. short: P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678. date_created: 2022-05-04T12:27:46Z date_updated: 2024-02-11T19:56:15Z department: - _id: '10' - _id: '548' - _id: '623' doi: ttps://doi.org/10.1007/s00220-022-04538-z external_id: arxiv: - '2112.05791' intvolume: ' 398' language: - iso: eng page: 655-678 publication: Communications in Mathematical Physics status: public title: Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems type: journal_article user_id: '49178' volume: 398 year: '2023' ... --- _id: '51206' abstract: - lang: eng text: "We present a numerical algorithm for the computation of invariant Ruelle\r\ndistributions on convex co-compact hyperbolic surfaces. This is achieved by\r\nexploiting the connection between invariant Ruelle distributions and residues\r\nof meromorphically continued weighted zeta functions established by the authors\r\ntogether with Barkhofen (2021). To make this applicable for numerics we express\r\nthe weighted zeta as the logarithmic derivative of a suitable parameter\r\ndependent Fredholm determinant similar to Borthwick (2014). As an additional\r\ndifficulty our transfer operator has to include a contracting direction which\r\nwe account for with techniques developed by Rugh (1992). We achieve a further\r\nimprovement in convergence speed for our algorithm in the case of surfaces with\r\nadditional symmetries by proving and applying a symmetry reduction of weighted\r\nzeta functions." author: - first_name: Philipp full_name: Schütte, Philipp id: '50168' last_name: Schütte - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. arXiv:230813463. Published online 2023. apa: Schütte, P., & Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. In arXiv:2308.13463. bibtex: '@article{Schütte_Weich_2023, title={Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions}, journal={arXiv:2308.13463}, author={Schütte, Philipp and Weich, Tobias}, year={2023} }' chicago: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023. ieee: P. Schütte and T. Weich, “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions,” arXiv:2308.13463. 2023. mla: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023. short: P. Schütte, T. Weich, ArXiv:2308.13463 (2023). date_created: 2024-02-06T20:58:35Z date_updated: 2024-02-11T19:56:01Z department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - '2308.13463' language: - iso: eng publication: arXiv:2308.13463 status: public title: Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions type: preprint user_id: '49178' year: '2023' ... --- _id: '51207' abstract: - lang: eng text: "Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$." author: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Lasse Lennart full_name: Wolf, Lasse Lennart id: '45027' last_name: Wolf citation: ama: 'Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. arXiv:230409573. Published online 2023.' apa: 'Weich, T., & Wolf, L. L. (2023). Temperedness of locally symmetric spaces: The product case. In arXiv:2304.09573.' bibtex: '@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces: The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }' chicago: 'Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.' ieee: 'T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” arXiv:2304.09573. 2023.' mla: 'Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.' short: T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023). date_created: 2024-02-06T21:00:55Z date_updated: 2024-02-11T19:55:58Z department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - '2304.09573' language: - iso: eng publication: arXiv:2304.09573 status: public title: 'Temperedness of locally symmetric spaces: The product case' type: preprint user_id: '49178' year: '2023' ... --- _id: '51351' author: - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Isaak Hieronymus full_name: Wolf, Isaak Hieronymus id: '88145' last_name: Wolf citation: ama: Steffen E, Wolf IH. Bounds for the chromatic index of signed multigraphs. Discrete Applied Mathematics. 2023;337:185-189. doi:10.1016/j.dam.2023.05.008 apa: Steffen, E., & Wolf, I. H. (2023). Bounds for the chromatic index of signed multigraphs. Discrete Applied Mathematics, 337, 185–189. https://doi.org/10.1016/j.dam.2023.05.008 bibtex: '@article{Steffen_Wolf_2023, title={Bounds for the chromatic index of signed multigraphs}, volume={337}, DOI={10.1016/j.dam.2023.05.008}, journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={185–189} }' chicago: 'Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” Discrete Applied Mathematics 337 (2023): 185–89. https://doi.org/10.1016/j.dam.2023.05.008.' ieee: 'E. Steffen and I. H. Wolf, “Bounds for the chromatic index of signed multigraphs,” Discrete Applied Mathematics, vol. 337, pp. 185–189, 2023, doi: 10.1016/j.dam.2023.05.008.' mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” Discrete Applied Mathematics, vol. 337, Elsevier BV, 2023, pp. 185–89, doi:10.1016/j.dam.2023.05.008. short: E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189. date_created: 2024-02-14T17:33:29Z date_updated: 2024-02-14T17:33:59Z department: - _id: '542' doi: 10.1016/j.dam.2023.05.008 intvolume: ' 337' keyword: - Applied Mathematics - Discrete Mathematics and Combinatorics language: - iso: eng page: 185-189 publication: Discrete Applied Mathematics publication_identifier: issn: - 0166-218X publication_status: published publisher: Elsevier BV status: public title: Bounds for the chromatic index of signed multigraphs type: journal_article user_id: '15540' volume: 337 year: '2023' ... --- _id: '45190' author: - first_name: Chiara full_name: Cappello, Chiara id: '72874' last_name: Cappello - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 citation: ama: 'Cappello C, Steffen E. Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks. In: The Digital Twin of Humans. Springer International Publishing; 2023:93--110. doi:10.1007/978-3-031-26104-6_5' apa: Cappello, C., & Steffen, E. (2023). Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks. In The Digital Twin of Humans (pp. 93--110). Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6_5 bibtex: '@inbook{Cappello_Steffen_2023, place={Cham}, title={Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks}, DOI={10.1007/978-3-031-26104-6_5}, booktitle={The Digital Twin of Humans}, publisher={Springer International Publishing}, author={Cappello, Chiara and Steffen, Eckhard}, year={2023}, pages={93--110} }' chicago: 'Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks.” In The Digital Twin of Humans, 93--110. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-26104-6_5.' ieee: 'C. Cappello and E. Steffen, “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks,” in The Digital Twin of Humans, Cham: Springer International Publishing, 2023, pp. 93--110.' mla: Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks.” The Digital Twin of Humans, Springer International Publishing, 2023, pp. 93--110, doi:10.1007/978-3-031-26104-6_5. short: 'C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International Publishing, Cham, 2023, pp. 93--110.' date_created: 2023-05-22T10:22:21Z date_updated: 2024-02-16T07:42:38Z department: - _id: '542' doi: 10.1007/978-3-031-26104-6_5 language: - iso: eng page: 93--110 place: Cham publication: The Digital Twin of Humans publication_identifier: isbn: - '9783031261039' - '9783031261046' publication_status: published publisher: Springer International Publishing status: public title: Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks type: book_chapter user_id: '15540' year: '2023' ... --- _id: '51357' article_number: '113457' author: - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Isaak Hieronymus full_name: Wolf, Isaak Hieronymus id: '88145' last_name: Wolf citation: ama: Steffen E, Wolf IH. Rotation r-graphs. Discrete Mathematics. Published online 2023. doi:10.1016/j.disc.2023.113457 apa: Steffen, E., & Wolf, I. H. (2023). Rotation r-graphs. Discrete Mathematics, Article 113457. https://doi.org/10.1016/j.disc.2023.113457 bibtex: '@article{Steffen_Wolf_2023, title={Rotation r-graphs}, DOI={10.1016/j.disc.2023.113457}, number={113457}, journal={Discrete Mathematics}, publisher={Elsevier BV}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023} }' chicago: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete Mathematics, 2023. https://doi.org/10.1016/j.disc.2023.113457. ieee: 'E. Steffen and I. H. Wolf, “Rotation r-graphs,” Discrete Mathematics, Art. no. 113457, 2023, doi: 10.1016/j.disc.2023.113457.' mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete Mathematics, 113457, Elsevier BV, 2023, doi:10.1016/j.disc.2023.113457. short: E. Steffen, I.H. Wolf, Discrete Mathematics (2023). date_created: 2024-02-16T08:44:50Z date_updated: 2024-02-16T08:45:10Z department: - _id: '542' doi: 10.1016/j.disc.2023.113457 keyword: - Discrete Mathematics and Combinatorics - Theoretical Computer Science language: - iso: eng publication: Discrete Mathematics publication_identifier: issn: - 0012-365X publication_status: published publisher: Elsevier BV status: public title: Rotation r-graphs type: journal_article user_id: '15540' year: '2023' ... --- _id: '51375' abstract: - lang: eng text: "We consider the quantum dynamics of a many-fermion system in $\\mathbb R^d$\r\nwith an ultraviolet regularized pair interaction as previously studied in [M.\r\nGebert, B. Nachtergaele, J. Reschke, and R. Sims, Ann. Henri Poincar\\'e 21.11\r\n(2020)]. We provide a Lieb-Robinson bound under substantially relaxed\r\nassumptions on the potentials. We also improve the associated one-body\r\nLieb-Robinson bound on $L^2$-overlaps to an almost ballistic one (i.e., an\r\nalmost linear light cone) under the same relaxed assumptions. Applications\r\ninclude the existence of the infinite-volume dynamics and clustering of ground\r\nstates in the presence of a spectral gap. We also develop a fermionic continuum\r\nnotion of conditional expectation and use it to approximate time-evolved\r\nfermionic observables by local ones, which opens the door to other applications\r\nof the Lieb-Robinson bounds." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Marius full_name: Lemm, Marius last_name: Lemm - first_name: Oliver full_name: Siebert, Oliver last_name: Siebert citation: ama: Hinrichs B, Lemm M, Siebert O. On Lieb-Robinson bounds for a class of continuum fermions. arXiv:231017736. Published online 2023. apa: Hinrichs, B., Lemm, M., & Siebert, O. (2023). On Lieb-Robinson bounds for a class of continuum fermions. In arXiv:2310.17736. bibtex: '@article{Hinrichs_Lemm_Siebert_2023, title={On Lieb-Robinson bounds for a class of continuum fermions}, journal={arXiv:2310.17736}, author={Hinrichs, Benjamin and Lemm, Marius and Siebert, Oliver}, year={2023} }' chicago: Hinrichs, Benjamin, Marius Lemm, and Oliver Siebert. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023. ieee: B. Hinrichs, M. Lemm, and O. Siebert, “On Lieb-Robinson bounds for a class of continuum fermions,” arXiv:2310.17736. 2023. mla: Hinrichs, Benjamin, et al. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023. short: B. Hinrichs, M. Lemm, O. Siebert, ArXiv:2310.17736 (2023). date_created: 2024-02-18T12:33:21Z date_updated: 2024-02-18T12:34:43Z department: - _id: '799' external_id: arxiv: - '2310.17736' language: - iso: eng project: - _id: '266' grant_number: PROFILNRW-2020-067 name: 'PhoQC: PhoQC: Photonisches Quantencomputing' publication: arXiv:2310.17736 status: public title: On Lieb-Robinson bounds for a class of continuum fermions type: preprint user_id: '99427' year: '2023' ... --- _id: '51376' abstract: - lang: eng text: "In the Bogoliubov-Fr\\\"ohlich model, we prove that an impurity immersed in a\r\nBose-Einstein condensate forms a stable quasi-particle when the total momentum\r\nis less than its mass times the speed of sound. The system thus exhibits\r\nsuperfluid behavior, as this quasi-particle does not experience friction. We do\r\nnot assume any infrared or ultraviolet regularization of the model, which\r\ncontains massless excitations and point-like interactions." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Jonas full_name: Lampart, Jonas last_name: Lampart citation: ama: Hinrichs B, Lampart J. A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate. arXiv:231105361. Published online 2023. apa: Hinrichs, B., & Lampart, J. (2023). A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate. In arXiv:2311.05361. bibtex: '@article{Hinrichs_Lampart_2023, title={A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate}, journal={arXiv:2311.05361}, author={Hinrichs, Benjamin and Lampart, Jonas}, year={2023} }' chicago: Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate.” ArXiv:2311.05361, 2023. ieee: B. Hinrichs and J. Lampart, “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate,” arXiv:2311.05361. 2023. mla: Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate.” ArXiv:2311.05361, 2023. short: B. Hinrichs, J. Lampart, ArXiv:2311.05361 (2023). date_created: 2024-02-18T12:33:48Z date_updated: 2024-02-18T12:34:22Z department: - _id: '799' external_id: arxiv: - '2311.05361' language: - iso: eng project: - _id: '266' grant_number: PROFILNRW-2020-067 name: 'PhoQC: PhoQC: Photonisches Quantencomputing' publication: arXiv:2311.05361 status: public title: A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate type: preprint user_id: '99427' year: '2023' ... --- _id: '31190' abstract: - lang: eng text: "For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$ of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions of the algebra of invariant differential\r\noperators on $G/K$." author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Lasse Lennart full_name: Wolf, Lasse Lennart id: '45027' last_name: Wolf citation: ama: Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. Analysis & PDE. 2023;16(10):2241–2265. apa: Hilgert, J., Weich, T., & Wolf, L. L. (2023). Higher rank quantum-classical correspondence. Analysis & PDE, 16(10), 2241–2265. bibtex: '@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical correspondence}, volume={16}, number={10}, journal={Analysis & PDE}, publisher={MSP}, author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }' chicago: 'Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE 16, no. 10 (2023): 2241–2265.' ieee: J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,” Analysis & PDE, vol. 16, no. 10, pp. 2241–2265, 2023. mla: Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE, vol. 16, no. 10, MSP, 2023, pp. 2241–2265. short: J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265. date_created: 2022-05-11T10:41:35Z date_updated: 2024-02-19T06:29:52Z department: - _id: '10' - _id: '548' - _id: '91' external_id: arxiv: - '2103.05667' intvolume: ' 16' issue: '10' language: - iso: eng page: 2241–2265 publication: Analysis & PDE publisher: MSP status: public title: Higher rank quantum-classical correspondence type: journal_article user_id: '49063' volume: 16 year: '2023' ... --- _id: '51205' abstract: - lang: eng text: "We compare the spectral properties of two kinds of linear operators\r\ncharacterizing the (classical) geodesic flow and its quantization on connected\r\nlocally finite graphs without dead ends. The first kind are transfer operators\r\nacting on vector spaces associated with the set of non backtracking paths in\r\nthe graphs. The second kind of operators are averaging operators acting on\r\nvector spaces associated with the space of vertices of the graph. The choice of\r\nvector spaces reflects regularity properties. Our main results are\r\ncorrespondences between classical and quantum spectral objects as well as some\r\nautomatic regularity properties for eigenfunctions of transfer operators." author: - first_name: Kai-Uwe full_name: Bux, Kai-Uwe last_name: Bux - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without dead ends. arXiv:230710876. Published online 2023. apa: Bux, K.-U., Hilgert, J., & Weich, T. (2023). Spectral correspondences for finite graphs without dead ends. In arXiv:2307.10876. bibtex: '@article{Bux_Hilgert_Weich_2023, title={Spectral correspondences for finite graphs without dead ends}, journal={arXiv:2307.10876}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2023} }' chicago: Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023. ieee: K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” arXiv:2307.10876. 2023. mla: Bux, Kai-Uwe, et al. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023. short: K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023). date_created: 2024-02-06T20:54:28Z date_updated: 2024-02-19T06:29:24Z department: - _id: '10' - _id: '623' - _id: '548' - _id: '91' external_id: arxiv: - '2307.10876' language: - iso: eng publication: arXiv:2307.10876 status: public title: Spectral correspondences for finite graphs without dead ends type: preprint user_id: '49063' year: '2023' ... --- _id: '31210' abstract: - lang: eng text: "In this paper we complete the program of relating the Laplace spectrum for\r\nrank one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset of exceptional spectral parameters always left untreated since the\r\ncorresponding Poisson transforms are neither injective nor surjective. We use\r\nvector valued Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces the exceptional spectral parameters lead to discrete\r\nseries representations of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more complicated, but can be described completely." author: - first_name: Christian full_name: Arends, Christian id: '43994' last_name: Arends - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: 'Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École polytechnique — Mathématiques. 2023;10:335-403. doi:10.5802/jep.220' apa: 'Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220' bibtex: '@article{Arends_Hilgert_2023, title={Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters}, volume={10}, DOI={10.5802/jep.220}, journal={Journal de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert, Joachim}, year={2023}, pages={335–403} }' chicago: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques 10 (2023): 335–403. https://doi.org/10.5802/jep.220.' ieee: 'C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.' mla: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403, doi:10.5802/jep.220.' short: C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403. date_created: 2022-05-11T12:27:00Z date_updated: 2024-02-19T06:30:26Z department: - _id: '10' - _id: '548' - _id: '91' doi: 10.5802/jep.220 external_id: arxiv: - '2112.11073' intvolume: ' 10' keyword: - Ruelle resonances - Poisson transforms - locally symmetric spaces - principal series representations language: - iso: eng page: 335-403 publication: Journal de l’École polytechnique — Mathématiques publication_identifier: eissn: - 2270-518X issn: - 2429-7100 publication_status: published status: public title: 'Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters' type: journal_article user_id: '49063' volume: 10 year: '2023' ... --- _id: '51383' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: C. full_name: Arends, C. last_name: Arends citation: ama: Hilgert J, Arends C. Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. J de l’École polytechnique — Mathématiques. 2023;10:335-403. apa: Hilgert, J., & Arends, C. (2023). Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. J. de l’École Polytechnique — Mathématiques, 10, 335–403. bibtex: '@article{Hilgert_Arends_2023, title={Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters}, volume={10}, journal={J. de l’École polytechnique — Mathématiques}, author={Hilgert, Joachim and Arends, C.}, year={2023}, pages={335–403} }' chicago: 'Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique — Mathématiques 10 (2023): 335–403.' ieee: J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters,” J. de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023. mla: Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403. short: J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403. date_created: 2024-02-19T06:34:11Z date_updated: 2024-02-19T06:34:16Z department: - _id: '91' intvolume: ' 10' language: - iso: eng page: 335-403 publication: J. de l'École polytechnique — Mathématiques publication_status: published status: public title: Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters type: journal_article user_id: '49063' volume: 10 year: '2023' ... --- _id: '51384' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: H. full_name: Glöckner, H. last_name: Glöckner citation: ama: Hilgert J, Glöckner H. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J Diff Equations. 2023;343:186-232. apa: Hilgert, J., & Glöckner, H. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J. Diff. Equations, 343, 186–232. bibtex: '@article{Hilgert_Glöckner_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, journal={J. Diff. Equations}, author={Hilgert, Joachim and Glöckner, H.}, year={2023}, pages={186–232} }' chicago: 'Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” J. Diff. Equations 343 (2023): 186–232.' ieee: J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” J. Diff. Equations, vol. 343, pp. 186–232, 2023. mla: Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” J. Diff. Equations, vol. 343, 2023, pp. 186–232. short: J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232. date_created: 2024-02-19T06:35:08Z date_updated: 2024-02-19T06:35:13Z department: - _id: '91' intvolume: ' 343' language: - iso: eng page: 186-232 publication: J. Diff. Equations publication_status: published status: public title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds type: journal_article user_id: '49063' volume: 343 year: '2023' ... --- _id: '51499' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: C. full_name: Arends, C. last_name: Arends - first_name: J. full_name: Frahm, J. last_name: Frahm citation: ama: Hilgert J, Arends C, Frahm J. A pairing formula for resonant states on finite regular graphs. Published online 2023. apa: Hilgert, J., Arends, C., & Frahm, J. (2023). A pairing formula for resonant states on finite regular graphs. bibtex: '@article{Hilgert_Arends_Frahm_2023, title={A pairing formula for resonant states on finite regular graphs}, author={Hilgert, Joachim and Arends, C. and Frahm, J.}, year={2023} }' chicago: Hilgert, Joachim, C. Arends, and J. Frahm. “A Pairing Formula for Resonant States on Finite Regular Graphs,” 2023. ieee: J. Hilgert, C. Arends, and J. Frahm, “A pairing formula for resonant states on finite regular graphs.” 2023. mla: Hilgert, Joachim, et al. A Pairing Formula for Resonant States on Finite Regular Graphs. 2023. short: J. Hilgert, C. Arends, J. Frahm, (2023). date_created: 2024-02-19T10:30:18Z date_updated: 2024-02-19T10:31:18Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2312.10509.pdf oa: '1' publication_status: published status: public title: A pairing formula for resonant states on finite regular graphs type: preprint user_id: '49063' year: '2023' ... --- _id: '51500' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: C. full_name: Arends, C. last_name: Arends - first_name: J. full_name: Frahm, J. last_name: Frahm citation: ama: Hilgert J, Arends C, Frahm J. Edge Laplacians and vector valued Poisson transforms for graphs. Published online 2023. apa: Hilgert, J., Arends, C., & Frahm, J. (2023). Edge Laplacians and vector valued Poisson transforms for graphs. bibtex: '@article{Hilgert_Arends_Frahm_2023, title={Edge Laplacians and vector valued Poisson transforms for graphs}, author={Hilgert, Joachim and Arends, C. and Frahm, J.}, year={2023} }' chicago: Hilgert, Joachim, C. Arends, and J. Frahm. “Edge Laplacians and Vector Valued Poisson Transforms for Graphs,” 2023. ieee: J. Hilgert, C. Arends, and J. Frahm, “Edge Laplacians and vector valued Poisson transforms for graphs.” 2023. mla: Hilgert, Joachim, et al. Edge Laplacians and Vector Valued Poisson Transforms for Graphs. 2023. short: J. Hilgert, C. Arends, J. Frahm, (2023). date_created: 2024-02-19T10:31:14Z date_updated: 2024-02-19T10:31:18Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2312.09101.pdf oa: '1' publication_status: published status: public title: Edge Laplacians and vector valued Poisson transforms for graphs type: preprint user_id: '49063' year: '2023' ... --- _id: '51502' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: T. full_name: Baier, T. last_name: Baier - first_name: O. full_name: Kaya, O. last_name: Kaya - first_name: J. full_name: Mourao, J. last_name: Mourao - first_name: J. full_name: Nunes, J. last_name: Nunes citation: ama: Hilgert J, Baier T, Kaya O, Mourao J, Nunes J. Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem. Published online 2023. apa: Hilgert, J., Baier, T., Kaya, O., Mourao, J., & Nunes, J. (2023). Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem. bibtex: '@article{Hilgert_Baier_Kaya_Mourao_Nunes_2023, title={Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem}, author={Hilgert, Joachim and Baier, T. and Kaya, O. and Mourao, J. and Nunes, J.}, year={2023} }' chicago: Hilgert, Joachim, T. Baier, O. Kaya, J. Mourao, and J. Nunes. “Quantization in Fibering Polarizations, Mabuchi Rays and Geometric Peter--Weyl Theorem,” 2023. ieee: J. Hilgert, T. Baier, O. Kaya, J. Mourao, and J. Nunes, “Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.” 2023. mla: Hilgert, Joachim, et al. Quantization in Fibering Polarizations, Mabuchi Rays and Geometric Peter--Weyl Theorem. 2023. short: J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023). date_created: 2024-02-19T10:33:16Z date_updated: 2024-02-19T10:33:20Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2301.10853.pdf oa: '1' publication_status: published status: public title: Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem type: preprint user_id: '49063' year: '2023' ... --- _id: '51521' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Y. full_name: Guedes Bonthonneau, Y. last_name: Guedes Bonthonneau - first_name: C. full_name: Guillarmou, C. last_name: Guillarmou - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Hilgert J, Guedes Bonthonneau Y, Guillarmou C, Weich T. Ruelle-Taylor resonances of Anosov actions. Published online 2023. apa: Hilgert, J., Guedes Bonthonneau, Y., Guillarmou, C., & Weich, T. (2023). Ruelle-Taylor resonances of Anosov actions. bibtex: '@article{Hilgert_Guedes Bonthonneau_Guillarmou_Weich_2023, title={Ruelle-Taylor resonances of Anosov actions}, author={Hilgert, Joachim and Guedes Bonthonneau, Y. and Guillarmou, C. and Weich, Tobias}, year={2023} }' chicago: Hilgert, Joachim, Y. Guedes Bonthonneau, C. Guillarmou, and Tobias Weich. “Ruelle-Taylor Resonances of Anosov Actions,” 2023. ieee: J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, and T. Weich, “Ruelle-Taylor resonances of Anosov actions.” 2023. mla: Hilgert, Joachim, et al. Ruelle-Taylor Resonances of Anosov Actions. 2023. short: J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023). date_created: 2024-02-20T08:20:13Z date_updated: 2024-02-20T08:20:16Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2007.14275.pdf oa: '1' publication_status: published status: public title: Ruelle-Taylor resonances of Anosov actions type: preprint user_id: '49063' year: '2023' ... --- _id: '32447' abstract: - lang: eng text: 'We present a new gradient-like dynamical system related to unconstrained convex smooth multiobjective optimization which involves inertial effects and asymptotic vanishing damping. To the best of our knowledge, this system is the first inertial gradient-like system for multiobjective optimization problems including asymptotic vanishing damping, expanding the ideas laid out in [H. Attouch and G. Garrigos, Multiobjective optimization: an inertial approach to Pareto optima, preprint, arXiv:1506.02823, 201]. We prove existence of solutions to this system in finite dimensions and further prove that its bounded solutions converge weakly to weakly Pareto optimal points. In addition, we obtain a convergence rate of order O(t−2) for the function values measured with a merit function. This approach presents a good basis for the development of fast gradient methods for multiobjective optimization.' author: - first_name: Konstantin full_name: Sonntag, Konstantin id: '56399' last_name: Sonntag orcid: https://orcid.org/0000-0003-3384-3496 - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X citation: ama: Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping. arXiv:230700975. Published online 2023. apa: Sonntag, K., & Peitz, S. (2023). Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping. In arXiv:2307.00975. bibtex: '@article{Sonntag_Peitz_2023, title={Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping}, journal={arXiv:2307.00975}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2023} }' chicago: Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping.” ArXiv:2307.00975, 2023. ieee: K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping,” arXiv:2307.00975. 2023. mla: Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping.” ArXiv:2307.00975, 2023. short: K. Sonntag, S. Peitz, ArXiv:2307.00975 (2023). date_created: 2022-07-28T11:53:02Z date_updated: 2024-02-21T10:15:33Z department: - _id: '101' - _id: '655' external_id: arxiv: - '2307.00975' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2307.00975.pdf oa: '1' publication: arXiv:2307.00975 status: public title: Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping type: preprint user_id: '56399' year: '2023' ... --- _id: '46578' abstract: - lang: eng text: 'Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to compute the set of optimal compromises (the Pareto set) between the conflicting objectives. The advances in algorithms and the increasing interest in Pareto-optimal solutions have led to a wide range of new applications related to optimal and feedback control - potentially with non-smoothness both on the level of the objectives or in the system dynamics. This results in new challenges such as dealing with expensive models (e.g., governed by partial differential equations (PDEs)) and developing dedicated algorithms handling the non-smoothness. Since in contrast to single-objective optimization, the Pareto set generally consists of an infinite number of solutions, the computational effort can quickly become challenging, which is particularly problematic when the objectives are costly to evaluate or when a solution has to be presented very quickly. This article gives an overview of recent developments in the field of multiobjective optimization of non-smooth PDE-constrained problems. In particular we report on the advances achieved within Project 2 "Multiobjective Optimization of Non-Smooth PDE-Constrained Problems - Switches, State Constraints and Model Order Reduction" of the DFG Priority Programm 1962 "Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization".' author: - first_name: Marco full_name: Bernreuther, Marco last_name: Bernreuther - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken - first_name: Georg full_name: Müller, Georg last_name: Müller - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X - first_name: Konstantin full_name: Sonntag, Konstantin id: '56399' last_name: Sonntag orcid: https://orcid.org/0000-0003-3384-3496 - first_name: Stefan full_name: Volkwein, Stefan last_name: Volkwein citation: ama: Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online 2023. apa: Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag, K., & Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In arXiv:2308.01113. bibtex: '@article{Bernreuther_Dellnitz_Gebken_Müller_Peitz_Sonntag_Volkwein_2023, title={Multiobjective Optimization of Non-Smooth PDE-Constrained Problems}, journal={arXiv:2308.01113}, author={Bernreuther, Marco and Dellnitz, Michael and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Sonntag, Konstantin and Volkwein, Stefan}, year={2023} }' chicago: Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023. ieee: M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems,” arXiv:2308.01113. 2023. mla: Bernreuther, Marco, et al. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023. short: M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023). date_created: 2023-08-21T05:50:12Z date_updated: 2024-02-21T12:22:20Z department: - _id: '655' - _id: '101' external_id: arxiv: - '2308.01113' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2308.01113 oa: '1' publication: arXiv:2308.01113 status: public title: Multiobjective Optimization of Non-Smooth PDE-Constrained Problems type: preprint user_id: '47427' year: '2023' ... --- _id: '34803' article_number: '50' author: - first_name: Elena full_name: Celledoni, Elena last_name: Celledoni - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Jørgen full_name: Riseth, Jørgen last_name: Riseth - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding citation: ama: Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics. 2023;63. doi:10.1007/s10543-023-00989-05 apa: Celledoni, E., Glöckner, H., Riseth, J., & Schmeding, A. (2023). Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics, 63, Article 50. https://doi.org/10.1007/s10543-023-00989-05 bibtex: '@article{Celledoni_Glöckner_Riseth_Schmeding_2023, title={Deep neural networks on diffeomorphism groups for optimal shape reparametrization}, volume={63}, DOI={10.1007/s10543-023-00989-05}, number={50}, journal={BIT Numerical Mathematics}, publisher={Springer}, author={Celledoni, Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}, year={2023} }' chicago: Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” BIT Numerical Mathematics 63 (2023). https://doi.org/10.1007/s10543-023-00989-05. ieee: 'E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks on diffeomorphism groups for optimal shape reparametrization,” BIT Numerical Mathematics, vol. 63, Art. no. 50, 2023, doi: 10.1007/s10543-023-00989-05.' mla: Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” BIT Numerical Mathematics, vol. 63, 50, Springer, 2023, doi:10.1007/s10543-023-00989-05. short: E. Celledoni, H. Glöckner, J. Riseth, A. Schmeding, BIT Numerical Mathematics 63 (2023). date_created: 2022-12-22T07:37:20Z date_updated: 2024-03-22T15:53:58Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1007/s10543-023-00989-05 external_id: arxiv: - '2207.11141' intvolume: ' 63' language: - iso: eng publication: BIT Numerical Mathematics publisher: Springer status: public title: Deep neural networks on diffeomorphism groups for optimal shape reparametrization type: journal_article user_id: '178' volume: 63 year: '2023' ... --- _id: '34793' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232. doi:10.1016/j.jde.2022.10.001 apa: Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations, 343, 186–232. https://doi.org/10.1016/j.jde.2022.10.001 bibtex: '@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={10.1016/j.jde.2022.10.001}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }' chicago: 'Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023): 186–232. https://doi.org/10.1016/j.jde.2022.10.001.' ieee: 'H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.' mla: Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations, vol. 343, 2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001. short: H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232. date_created: 2022-12-21T19:31:13Z date_updated: 2024-03-22T16:02:32Z department: - _id: '10' - _id: '87' - _id: '93' - _id: '91' doi: 10.1016/j.jde.2022.10.001 external_id: arxiv: - '2007.11277' intvolume: ' 343' keyword: - '22E65' - 28B05 - 34A12 - 34H05 - '46E30' - '46E40' language: - iso: eng page: 186–232 publication: Journal of Differential Equations publication_identifier: issn: - 0022-0396 quality_controlled: '1' status: public title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds type: journal_article user_id: '178' volume: 343 year: '2023' ... --- _id: '34805' abstract: - lang: eng text: "Let $E$ be a finite-dimensional real vector space and $M\\subseteq E$ be a\r\nconvex polytope with non-empty interior. We turn the group of all\r\n$C^\\infty$-diffeomorphisms of $M$ into a regular Lie group." author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Diffeomorphism groups of convex polytopes. Journal of Convex Analysis. 2023;30(1):343-358. apa: Glöckner, H. (2023). Diffeomorphism groups of convex polytopes. Journal of Convex Analysis, 30(1), 343–358. bibtex: '@article{Glöckner_2023, title={Diffeomorphism groups of convex polytopes}, volume={30}, number={1}, journal={Journal of Convex Analysis}, publisher={Heldermann}, author={Glöckner, Helge}, year={2023}, pages={343–358} }' chicago: 'Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis 30, no. 1 (2023): 343–58.' ieee: H. Glöckner, “Diffeomorphism groups of convex polytopes,” Journal of Convex Analysis, vol. 30, no. 1, pp. 343–358, 2023. mla: Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis, vol. 30, no. 1, Heldermann, 2023, pp. 343–58. short: H. Glöckner, Journal of Convex Analysis 30 (2023) 343–358. date_created: 2022-12-22T07:45:13Z date_updated: 2024-03-22T16:07:00Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - '2203.09285' intvolume: ' 30' issue: '1' language: - iso: eng page: 343-358 publication: Journal of Convex Analysis publisher: Heldermann status: public title: Diffeomorphism groups of convex polytopes type: journal_article user_id: '178' volume: 30 year: '2023' ... --- _id: '34801' author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Luis full_name: Tárrega, Luis last_name: Tárrega citation: ama: Glöckner H, Tárrega L. Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory. 2023;33(1):271-296. apa: Glöckner, H., & Tárrega, L. (2023). Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory, 33(1), 271–296. bibtex: '@article{Glöckner_Tárrega_2023, title={Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups }, volume={33}, number={1}, journal={Journal of Lie Theory}, publisher={Heldermann}, author={Glöckner, Helge and Tárrega, Luis}, year={2023}, pages={271–296} }' chicago: 'Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” Journal of Lie Theory 33, no. 1 (2023): 271–96.' ieee: H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ,” Journal of Lie Theory, vol. 33, no. 1, pp. 271–296, 2023. mla: Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” Journal of Lie Theory, vol. 33, no. 1, Heldermann, 2023, pp. 271–96. short: H. Glöckner, L. Tárrega, Journal of Lie Theory 33 (2023) 271–296. date_created: 2022-12-22T07:23:57Z date_updated: 2024-03-22T16:07:34Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - '2210.01246' intvolume: ' 33' issue: '1' language: - iso: eng page: 271-296 publication: Journal of Lie Theory publisher: Heldermann status: public title: 'Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ' type: journal_article user_id: '178' volume: 33 year: '2023' ... --- _id: '45191' alternative_title: - An Interdisciplinary Concept of Digital Working Environments in Industry 4.0 citation: ama: Gräßler I, Maier GW, Steffen E, Roesmann D, eds. The Digital Twin of Humans. Springer International Publishing; 2023. doi:10.1007/978-3-031-26104-6 apa: Gräßler, I., Maier, G. W., Steffen, E., & Roesmann, D. (Eds.). (2023). The Digital Twin of Humans. Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6 bibtex: '@book{Gräßler_Maier_Steffen_Roesmann_2023, place={Cham}, title={The Digital Twin of Humans}, DOI={10.1007/978-3-031-26104-6}, publisher={Springer International Publishing}, year={2023} }' chicago: 'Gräßler, Iris, Günter W. Maier, Eckhard Steffen, and Daniel Roesmann, eds. The Digital Twin of Humans. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-26104-6.' ieee: 'I. Gräßler, G. W. Maier, E. Steffen, and D. Roesmann, Eds., The Digital Twin of Humans. Cham: Springer International Publishing, 2023.' mla: Gräßler, Iris, et al., editors. The Digital Twin of Humans. Springer International Publishing, 2023, doi:10.1007/978-3-031-26104-6. short: I. Gräßler, G.W. Maier, E. Steffen, D. Roesmann, eds., The Digital Twin of Humans, Springer International Publishing, Cham, 2023. date_created: 2023-05-22T10:24:10Z date_updated: 2024-03-25T09:07:55Z department: - _id: '542' - _id: '152' doi: 10.1007/978-3-031-26104-6 editor: - first_name: Iris full_name: Gräßler, Iris id: '47565' last_name: Gräßler orcid: 0000-0001-5765-971X - first_name: Günter W. full_name: Maier, Günter W. last_name: Maier - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Daniel full_name: Roesmann, Daniel id: '54680' last_name: Roesmann language: - iso: eng place: Cham publication_identifier: isbn: - '9783031261039' - '9783031261046' publication_status: published publisher: Springer International Publishing quality_controlled: '1' status: public title: The Digital Twin of Humans type: book_editor user_id: '5905' year: '2023' ... --- _id: '52806' author: - first_name: H. full_name: Gilbert, H. last_name: Gilbert - first_name: M. full_name: Schürmann, M. last_name: Schürmann - first_name: M. full_name: Liebendörfer, M. last_name: Liebendörfer - first_name: D. full_name: Lawson, D. last_name: Lawson - first_name: M. full_name: Hodds, M. last_name: Hodds citation: ama: 'Gilbert H, Schürmann M, Liebendörfer M, Lawson D, Hodds M. Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &amp; Ireland. International Journal of Mathematical Education in Science and Technology. Published online 2023:1-26. doi:10.1080/0020739x.2023.2184282' apa: 'Gilbert, H., Schürmann, M., Liebendörfer, M., Lawson, D., & Hodds, M. (2023). Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &amp; Ireland. International Journal of Mathematical Education in Science and Technology, 1–26. https://doi.org/10.1080/0020739x.2023.2184282' bibtex: '@article{Gilbert_Schürmann_Liebendörfer_Lawson_Hodds_2023, title={Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &amp; Ireland}, DOI={10.1080/0020739x.2023.2184282}, journal={International Journal of Mathematical Education in Science and Technology}, publisher={Informa UK Limited}, author={Gilbert, H. and Schürmann, M. and Liebendörfer, M. and Lawson, D. and Hodds, M.}, year={2023}, pages={1–26} }' chicago: 'Gilbert, H., M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain &amp; Ireland.” International Journal of Mathematical Education in Science and Technology, 2023, 1–26. https://doi.org/10.1080/0020739x.2023.2184282.' ieee: 'H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds, “Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &amp; Ireland,” International Journal of Mathematical Education in Science and Technology, pp. 1–26, 2023, doi: 10.1080/0020739x.2023.2184282.' mla: 'Gilbert, H., et al. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain &amp; Ireland.” International Journal of Mathematical Education in Science and Technology, Informa UK Limited, 2023, pp. 1–26, doi:10.1080/0020739x.2023.2184282.' short: H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, M. Hodds, International Journal of Mathematical Education in Science and Technology (2023) 1–26. date_created: 2024-03-25T10:02:09Z date_updated: 2024-03-25T10:09:21Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' doi: 10.1080/0020739x.2023.2184282 keyword: - Applied Mathematics - Education - Mathematics (miscellaneous) language: - iso: eng page: 1-26 publication: International Journal of Mathematical Education in Science and Technology publication_identifier: issn: - 0020-739X - 1464-5211 publication_status: published publisher: Informa UK Limited status: public title: 'Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland' type: journal_article user_id: '30933' year: '2023' ... --- _id: '52811' author: - first_name: Rolf full_name: Biehler, Rolf last_name: Biehler - first_name: Dominik full_name: Guntermann, Dominik last_name: Guntermann - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Sandra full_name: Krämer, Sandra last_name: Krämer - first_name: Sarah full_name: Schlüter, Sarah last_name: Schlüter citation: ama: 'Biehler R, Guntermann D, Liebendörfer M, Krämer S, Schlüter S. Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos. In: Goethe-Universität Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. Vol 1. WTM; 2023:407–410. doi:10.37626/GA9783959872089.0' apa: Biehler, R., Guntermann, D., Liebendörfer, M., Krämer, S., & Schlüter, S. (2023). Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos. In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol. 1, pp. 407–410). WTM. https://doi.org/10.37626/GA9783959872089.0 bibtex: '@inbook{Biehler_Guntermann_Liebendörfer_Krämer_Schlüter_2023, place={Münster}, title={Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos}, volume={1}, DOI={10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Biehler, Rolf and Guntermann, Dominik and Liebendörfer, Michael and Krämer, Sandra and Schlüter, Sarah}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={407–410} }' chicago: 'Biehler, Rolf, Dominik Guntermann, Michael Liebendörfer, Sandra Krämer, and Sarah Schlüter. “Fachdidaktisches Design von Begründungsvideos Im Projekt StudiVEMINTvideos.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 1:407–410. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.' ieee: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, and S. Schlüter, “Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos,” in Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol. 1, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 407–410.' mla: Biehler, Rolf, et al. “Fachdidaktisches Design von Begründungsvideos Im Projekt StudiVEMINTvideos.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 1, WTM, 2023, pp. 407–410, doi:10.37626/GA9783959872089.0. short: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, S. Schlüter, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 407–410.' date_created: 2024-03-25T10:06:08Z date_updated: 2024-03-25T10:09:41Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' doi: 10.37626/GA9783959872089.0 editor: - first_name: IDMI-Primar full_name: Goethe-Universität Frankfur, IDMI-Primar last_name: Goethe-Universität Frankfur intvolume: ' 1' page: 407–410 place: Münster publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik publication_identifier: isbn: - 978-3-95987-208-9 publisher: WTM status: public title: Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos type: book_chapter user_id: '30933' volume: 1 year: '2023' ... --- _id: '52810' author: - first_name: Robin full_name: Göller, Robin last_name: Göller - first_name: Lara full_name: Gildehaus, Lara last_name: Gildehaus - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Michael full_name: Besser, Michael last_name: Besser citation: ama: 'Göller R, Gildehaus L, Liebendörfer M, Besser M. Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum. WTM; 2023:66–80.' apa: Göller, R., Gildehaus, L., Liebendörfer, M., & Besser, M. (2023). Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge. In J. Härterich, M. Kallweit, K. Rolka, & T. Skill (Eds.), Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum (pp. 66–80). WTM. bibtex: '@inbook{Göller_Gildehaus_Liebendörfer_Besser_2023, place={Münster}, title={Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum}, publisher={WTM}, author={Göller, Robin and Gildehaus, Lara and Liebendörfer, Michael and Besser, Michael}, editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={66–80} }' chicago: 'Göller, Robin, Lara Gildehaus, Michael Liebendörfer, and Michael Besser. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” In Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka, and Thomas Skill, 66–80. Münster: WTM, 2023.' ieee: 'R. Göller, L. Gildehaus, M. Liebendörfer, and M. Besser, “Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge,” in Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster: WTM, 2023, pp. 66–80.' mla: Göller, Robin, et al. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich et al., WTM, 2023, pp. 66–80. short: 'R. Göller, L. Gildehaus, M. Liebendörfer, M. Besser, in: J. Härterich, M. Kallweit, K. Rolka, T. Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, WTM, Münster, 2023, pp. 66–80.' date_created: 2024-03-25T10:05:57Z date_updated: 2024-03-25T10:09:46Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' editor: - first_name: Jörg full_name: Härterich, Jörg last_name: Härterich - first_name: Michael full_name: Kallweit, Michael last_name: Kallweit - first_name: Katrin full_name: Rolka, Katrin last_name: Rolka - first_name: Thomas full_name: Skill, Thomas last_name: Skill page: 66–80 place: Münster publication: Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum publication_identifier: isbn: - 978-3-95987-264-5 publisher: WTM status: public title: Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge type: book_chapter user_id: '30933' year: '2023' ...