[{"quality_controlled":"1","publication_status":"published","issue":"2","year":"2025","intvolume":"        45","page":"85-120","citation":{"ieee":"M. Hoffmann, “Symmetry as a Topic for the University Education of Pre-Service Teachers,” <i>Recherches en Didactique des Mathématiques</i>, vol. 45, no. 2, pp. 85–120, 2025, doi: <a href=\"https://doi.org/10.46298/rdm.14256\">10.46298/rdm.14256</a>.","chicago":"Hoffmann, Max. “Symmetry as a Topic for the University Education of Pre-Service Teachers.” <i>Recherches En Didactique Des Mathématiques</i> 45, no. 2 (2025): 85–120. <a href=\"https://doi.org/10.46298/rdm.14256\">https://doi.org/10.46298/rdm.14256</a>.","ama":"Hoffmann M. Symmetry as a Topic for the University Education of Pre-Service Teachers. <i>Recherches en Didactique des Mathématiques</i>. 2025;45(2):85-120. doi:<a href=\"https://doi.org/10.46298/rdm.14256\">10.46298/rdm.14256</a>","apa":"Hoffmann, M. (2025). Symmetry as a Topic for the University Education of Pre-Service Teachers. <i>Recherches En Didactique Des Mathématiques</i>, <i>45</i>(2), 85–120. <a href=\"https://doi.org/10.46298/rdm.14256\">https://doi.org/10.46298/rdm.14256</a>","bibtex":"@article{Hoffmann_2025, title={Symmetry as a Topic for the University Education of Pre-Service Teachers}, volume={45}, DOI={<a href=\"https://doi.org/10.46298/rdm.14256\">10.46298/rdm.14256</a>}, number={2}, journal={Recherches en Didactique des Mathématiques}, author={Hoffmann, Max}, year={2025}, pages={85–120} }","short":"M. Hoffmann, Recherches En Didactique Des Mathématiques 45 (2025) 85–120.","mla":"Hoffmann, Max. “Symmetry as a Topic for the University Education of Pre-Service Teachers.” <i>Recherches En Didactique Des Mathématiques</i>, vol. 45, no. 2, 2025, pp. 85–120, doi:<a href=\"https://doi.org/10.46298/rdm.14256\">10.46298/rdm.14256</a>."},"oa":"1","date_updated":"2026-03-30T13:52:29Z","volume":45,"date_created":"2024-09-14T08:08:22Z","author":[{"first_name":"Max","last_name":"Hoffmann","orcid":"0000-0002-6964-7123","full_name":"Hoffmann, Max","id":"32202"}],"title":"Symmetry as a Topic for the University Education of Pre-Service Teachers","doi":"10.46298/rdm.14256","main_file_link":[{"open_access":"1","url":"https://rdm.episciences.org/17761/pdf"}],"publication":"Recherches en Didactique des Mathématiques","type":"journal_article","abstract":[{"text":"This article provides a comprehensive mathematical-didactic analysis of how the highly relevant topic symmetry can be prepared for the university education of PSTs. Methodologically, the analysis is embedded in a design research cycle and serves as preparation for the actual design of learning activities. The procedure of \"specifying and structuring\" learning objects is used and adapted in such a way that, in addition to mathematical aspects, profession-oriented references to school mathematics are also considered. An essential result of the analysis is the formulation of so-called interface aspects to symmetry, which prove to be helpful in establishing such references. ","lang":"eng"}],"status":"public","_id":"56131","department":[{"_id":"97"},{"_id":"643"}],"user_id":"32202","article_type":"original","language":[{"iso":"eng"}]},{"quality_controlled":"1","publication_status":"published","page":"2245-2252","citation":{"short":"M. Hoffmann, in: M. Bosch, G. Bolondi, S. Carreira, M. Gaidoschik, C. Spagnolo (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), Free University of Bozen-Bolzano and ERME, 2025, pp. 2245–2252.","mla":"Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface Tasks: Exemplary Analyses in the Context of Symmetry.” <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, edited by Marianna Bosch et al., Free University of Bozen-Bolzano and ERME, 2025, pp. 2245–52.","bibtex":"@inproceedings{Hoffmann_2025, title={Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry}, booktitle={Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)}, publisher={Free University of Bozen-Bolzano and ERME}, author={Hoffmann, Max}, editor={Bosch, Marianna and Bolondi, Giorgio and Carreira, Susana and Gaidoschik, Michael and Spagnolo, Camilla}, year={2025}, pages={2245–2252} }","apa":"Hoffmann, M. (2025). Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry. In M. Bosch, G. Bolondi, S. Carreira, M. Gaidoschik, &#38; C. Spagnolo (Eds.), <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i> (pp. 2245–2252). Free University of Bozen-Bolzano and ERME.","ama":"Hoffmann M. Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry. In: Bosch M, Bolondi G, Carreira S, Gaidoschik M, Spagnolo C, eds. <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>. Free University of Bozen-Bolzano and ERME; 2025:2245-2252.","chicago":"Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface Tasks: Exemplary Analyses in the Context of Symmetry.” In <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, edited by Marianna Bosch, Giorgio Bolondi, Susana Carreira, Michael Gaidoschik, and Camilla Spagnolo, 2245–52. Free University of Bozen-Bolzano and ERME, 2025.","ieee":"M. Hoffmann, “Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry,” in <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, 2025, pp. 2245–2252."},"year":"2025","date_created":"2026-03-30T14:57:31Z","author":[{"full_name":"Hoffmann, Max","last_name":"Hoffmann","first_name":"Max"}],"date_updated":"2026-03-30T15:03:09Z","publisher":"Free University of Bozen-Bolzano and ERME","oa":"1","main_file_link":[{"open_access":"1","url":"https://hal.science/CERME14/hal-05237875v1"}],"title":"Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry","publication":"Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)","type":"conference","status":"public","editor":[{"first_name":"Marianna","full_name":"Bosch, Marianna","last_name":"Bosch"},{"first_name":"Giorgio","last_name":"Bolondi","full_name":"Bolondi, Giorgio"},{"last_name":"Carreira","full_name":"Carreira, Susana","first_name":"Susana"},{"first_name":"Michael","last_name":"Gaidoschik","full_name":"Gaidoschik, Michael"},{"last_name":"Spagnolo","full_name":"Spagnolo, Camilla","first_name":"Camilla"}],"department":[{"_id":"97"},{"_id":"643"}],"user_id":"32202","_id":"65246","language":[{"iso":"eng"}]},{"publication":"Journal of Lie Theory","type":"journal_article","status":"public","abstract":[{"lang":"eng","text":"For negatively curved symmetric spaces it is known that the poles of the\r\nscattering matrices defined via the standard intertwining operators for the\r\nspherical principal representations of the isometry group are either given as\r\npoles of the intertwining operators or as quantum resonances, i.e. poles of the\r\nmeromorphically continued resolvents of the Laplace-Beltrami operator. We\r\nextend this result to classical locally symmetric spaces of negative curvature\r\nwith convex-cocompact fundamental group using results of Bunke and Olbrich. The\r\nmethod of proof forces us to exclude the spectral parameters corresponding to\r\nsingular Poisson transforms."}],"department":[{"_id":"548"}],"user_id":"220","_id":"53413","language":[{"iso":"eng"}],"article_type":"original","issue":"(4)","publication_identifier":{"issn":["0949-5932"]},"publication_status":"inpress","intvolume":"        35","page":"787--804","citation":{"ama":"Delarue B, Hilgert J. Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. <i>Journal of Lie Theory</i>. 35((4)):787--804.","chicago":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>Journal of Lie Theory</i> 35, no. (4) (n.d.): 787--804.","ieee":"B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical rank one locally  symmetric spaces,” <i>Journal of Lie Theory</i>, vol. 35, no. (4), pp. 787--804.","bibtex":"@article{Delarue_Hilgert, title={Quantum resonances and scattering poles of classical rank one locally  symmetric spaces}, volume={35}, number={(4)}, journal={Journal of Lie Theory}, author={Delarue, Benjamin and Hilgert, Joachim}, pages={787--804} }","mla":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>Journal of Lie Theory</i>, vol. 35, no. (4), pp. 787--804.","short":"B. Delarue, J. Hilgert, Journal of Lie Theory 35 (n.d.) 787--804.","apa":"Delarue, B., &#38; Hilgert, J. (n.d.). Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. <i>Journal of Lie Theory</i>, <i>35</i>((4)), 787--804."},"year":"2025","volume":35,"date_created":"2024-04-11T12:31:18Z","author":[{"full_name":"Delarue, Benjamin","id":"70575","last_name":"Delarue","first_name":"Benjamin"},{"last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220","first_name":"Joachim"}],"date_updated":"2026-03-31T09:07:17Z","title":"Quantum resonances and scattering poles of classical rank one locally  symmetric spaces"},{"publication_identifier":{"issn":["0926-6003","1573-2894"]},"publication_status":"published","year":"2024","citation":{"ama":"Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth optimization. <i>Computational Optimization and Applications</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>","ieee":"B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,” <i>Computational Optimization and Applications</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>.","chicago":"Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” <i>Computational Optimization and Applications</i>, 2024. <a href=\"https://doi.org/10.1007/s10589-024-00552-0\">https://doi.org/10.1007/s10589-024-00552-0</a>.","short":"B. Gebken, Computational Optimization and Applications (2024).","mla":"Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” <i>Computational Optimization and Applications</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>.","bibtex":"@article{Gebken_2024, title={A note on the convergence of deterministic gradient sampling in nonsmooth optimization}, DOI={<a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>}, journal={Computational Optimization and Applications}, publisher={Springer Science and Business Media LLC}, author={Gebken, Bennet}, year={2024} }","apa":"Gebken, B. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. <i>Computational Optimization and Applications</i>. <a href=\"https://doi.org/10.1007/s10589-024-00552-0\">https://doi.org/10.1007/s10589-024-00552-0</a>"},"publisher":"Springer Science and Business Media LLC","date_updated":"2024-02-08T08:05:54Z","date_created":"2024-02-07T07:23:23Z","author":[{"id":"32643","full_name":"Gebken, Bennet","last_name":"Gebken","first_name":"Bennet"}],"title":"A note on the convergence of deterministic gradient sampling in nonsmooth optimization","doi":"10.1007/s10589-024-00552-0","publication":"Computational Optimization and Applications","type":"journal_article","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Approximation 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.</jats:p>","lang":"eng"}],"status":"public","_id":"51208","department":[{"_id":"101"}],"user_id":"32643","keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization"],"language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"department":[{"_id":"101"},{"_id":"655"}],"user_id":"56399","_id":"46019","status":"public","abstract":[{"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.","lang":"eng"}],"publication":"Journal of Optimization Theory and Applications","type":"journal_article","doi":"10.1007/s10957-024-02389-3","main_file_link":[{"open_access":"1","url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02389-3.pdf"}],"title":"Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems","author":[{"first_name":"Konstantin","id":"56399","full_name":"Sonntag, Konstantin","last_name":"Sonntag","orcid":"https://orcid.org/0000-0003-3384-3496"},{"orcid":"0000-0002-3389-793X","last_name":"Peitz","full_name":"Peitz, Sebastian","id":"47427","first_name":"Sebastian"}],"date_created":"2023-07-12T06:35:58Z","publisher":"Springer","oa":"1","date_updated":"2024-02-21T10:13:33Z","citation":{"bibtex":"@article{Sonntag_Peitz_2024, title={Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems}, DOI={<a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>}, journal={Journal of Optimization Theory and Applications}, publisher={Springer}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024} }","short":"K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).","mla":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” <i>Journal of Optimization Theory and Applications</i>, Springer, 2024, doi:<a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>.","apa":"Sonntag, K., &#38; Peitz, S. (2024). Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. <i>Journal of Optimization Theory and Applications</i>. <a href=\"https://doi.org/10.1007/s10957-024-02389-3\">https://doi.org/10.1007/s10957-024-02389-3</a>","ama":"Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. <i>Journal of Optimization Theory and Applications</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>","ieee":"K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems,” <i>Journal of Optimization Theory and Applications</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>.","chicago":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” <i>Journal of Optimization Theory and Applications</i>, 2024. <a href=\"https://doi.org/10.1007/s10957-024-02389-3\">https://doi.org/10.1007/s10957-024-02389-3</a>."},"year":"2024","publication_status":"published"},{"has_accepted_license":"1","year":"2024","citation":{"ieee":"K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” <i>arXiv:2402.06376</i>. 2024.","chicago":"Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” <i>ArXiv:2402.06376</i>, 2024.","ama":"Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. <i>arXiv:240206376</i>. Published online 2024.","short":"K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376 (2024).","mla":"Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” <i>ArXiv:2402.06376</i>, 2024.","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} }","apa":"Sonntag, K., Gebken, B., Müller, G., Peitz, S., &#38; Volkwein, S. (2024). A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. In <i>arXiv:2402.06376</i>."},"oa":"1","date_updated":"2024-02-21T10:21:03Z","date_created":"2024-02-13T09:35:26Z","author":[{"orcid":"https://orcid.org/0000-0003-3384-3496","last_name":"Sonntag","id":"56399","full_name":"Sonntag, Konstantin","first_name":"Konstantin"},{"first_name":"Bennet","id":"32643","full_name":"Gebken, Bennet","last_name":"Gebken"},{"last_name":"Müller","full_name":"Müller, Georg","first_name":"Georg"},{"last_name":"Peitz","orcid":"0000-0002-3389-793X","id":"47427","full_name":"Peitz, Sebastian","first_name":"Sebastian"},{"last_name":"Volkwein","full_name":"Volkwein, Stefan","first_name":"Stefan"}],"title":"A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2402.06376"}],"publication":"arXiv:2402.06376","type":"preprint","abstract":[{"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.","lang":"eng"}],"status":"public","_id":"51334","external_id":{"arxiv":["\t2402.06376"]},"department":[{"_id":"101"},{"_id":"655"}],"user_id":"56399","language":[{"iso":"eng"}]},{"date_created":"2024-03-20T14:56:05Z","author":[{"first_name":"Benjamin","full_name":"Hinrichs, Benjamin","id":"99427","orcid":"0000-0001-9074-1205","last_name":"Hinrichs"},{"full_name":"Matte, Oliver","last_name":"Matte","first_name":"Oliver"}],"date_updated":"2024-03-20T14:56:50Z","title":"Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains","citation":{"apa":"Hinrichs, B., &#38; Matte, O. (2024). Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. In <i>arXiv:2403.12147</i>.","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} }","mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” <i>ArXiv:2403.12147</i>, 2024.","short":"B. Hinrichs, O. Matte, 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,” <i>arXiv:2403.12147</i>. 2024.","chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” <i>ArXiv:2403.12147</i>, 2024.","ama":"Hinrichs B, Matte O. Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. <i>arXiv:240312147</i>. Published online 2024."},"year":"2024","department":[{"_id":"799"}],"user_id":"99427","external_id":{"arxiv":["2403.12147"]},"_id":"52691","language":[{"iso":"eng"}],"publication":"arXiv:2403.12147","type":"preprint","status":"public","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."}]},{"type":"journal_article","status":"public","_id":"52726","department":[{"_id":"101"}],"user_id":"97359","article_type":"original","file_date_updated":"2024-03-22T09:06:07Z","publication_identifier":{"issn":["2051-1329"]},"has_accepted_license":"1","publication_status":"published","intvolume":"        12","citation":{"chicago":"Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i> 12, no. 2 (2024). <a href=\"https://doi.org/10.1093/comnet/cnae009\">https://doi.org/10.1093/comnet/cnae009</a>.","ieee":"C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” <i>Journal of Complex Networks</i>, vol. 12, no. 2, 2024, doi: <a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>.","ama":"Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems with higher-order interactions. <i>Journal of Complex Networks</i>. 2024;12(2). doi:<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>","short":"C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).","bibtex":"@article{Bick_von der Gracht_2024, title={Heteroclinic dynamics in network dynamical systems with higher-order interactions}, volume={12}, DOI={<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>}, number={2}, journal={Journal of Complex Networks}, publisher={Oxford University Press (OUP)}, author={Bick, Christian and von der Gracht, Sören}, year={2024} }","mla":"Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i>, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>.","apa":"Bick, C., &#38; von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. <i>Journal of Complex Networks</i>, <i>12</i>(2). <a href=\"https://doi.org/10.1093/comnet/cnae009\">https://doi.org/10.1093/comnet/cnae009</a>"},"oa":"1","date_updated":"2024-03-22T09:11:53Z","volume":12,"author":[{"full_name":"Bick, Christian","last_name":"Bick","first_name":"Christian"},{"first_name":"Sören","orcid":"0000-0002-8054-2058","last_name":"von der Gracht","id":"97359","full_name":"von der Gracht, Sören"}],"doi":"10.1093/comnet/cnae009","main_file_link":[{"url":"https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf","open_access":"1"}],"publication":"Journal of Complex Networks","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."}],"file":[{"file_size":649155,"access_level":"closed","file_id":"52728","file_name":"heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf","date_updated":"2024-03-22T09:06:07Z","creator":"svdg","date_created":"2024-03-22T09:06:07Z","success":1,"relation":"main_file","content_type":"application/pdf"}],"external_id":{"arxiv":["2309.02006"]},"keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization","Management Science and Operations Research","Computer Networks and Communications"],"ddc":["510"],"language":[{"iso":"eng"}],"issue":"2","year":"2024","publisher":"Oxford University Press (OUP)","date_created":"2024-03-22T09:04:57Z","title":"Heteroclinic dynamics in network dynamical systems with higher-order interactions"},{"language":[{"iso":"eng"}],"keyword":["Computational Mathematics","Discrete Mathematics and Combinatorics"],"department":[{"_id":"542"}],"user_id":"15540","_id":"49905","status":"public","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 \u0003 = 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."}],"publication":"Combinatorica","type":"journal_article","doi":"10.1007/s00493-023-00078-9","title":"Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs","volume":44,"author":[{"last_name":"Ma","id":"92748","full_name":"Ma, Yulai","first_name":"Yulai"},{"first_name":"Davide","last_name":"Mattiolo","full_name":"Mattiolo, Davide"},{"last_name":"Steffen","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard","id":"15548","first_name":"Eckhard"},{"id":"88145","full_name":"Wolf, Isaak Hieronymus","last_name":"Wolf","first_name":"Isaak Hieronymus"}],"date_created":"2023-12-20T10:31:27Z","publisher":"Springer Science and Business Media LLC","date_updated":"2024-03-22T12:11:35Z","intvolume":"        44","page":"429-440","citation":{"bibtex":"@article{Ma_Mattiolo_Steffen_Wolf_2024, title={Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs}, volume={44}, DOI={<a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>}, 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} }","short":"Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 44 (2024) 429–440.","mla":"Ma, Yulai, et al. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.” <i>Combinatorica</i>, vol. 44, Springer Science and Business Media LLC, 2024, pp. 429–40, doi:<a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>.","apa":"Ma, Y., Mattiolo, D., Steffen, E., &#38; Wolf, I. H. (2024). Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs. <i>Combinatorica</i>, <i>44</i>, 429–440. <a href=\"https://doi.org/10.1007/s00493-023-00078-9\">https://doi.org/10.1007/s00493-023-00078-9</a>","ama":"Ma Y, Mattiolo D, Steffen E, Wolf IH. Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs. <i>Combinatorica</i>. 2024;44:429-440. doi:<a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>","chicago":"Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.” <i>Combinatorica</i> 44 (2024): 429–40. <a href=\"https://doi.org/10.1007/s00493-023-00078-9\">https://doi.org/10.1007/s00493-023-00078-9</a>.","ieee":"Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs,” <i>Combinatorica</i>, vol. 44, pp. 429–440, 2024, doi: <a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>."},"year":"2024","publication_identifier":{"issn":["0209-9683","1439-6912"]},"publication_status":"published"},{"issue":"0","year":"2024","publisher":"American Institute of Mathematical Sciences (AIMS)","date_created":"2024-03-28T15:58:02Z","title":"A new Lagrangian approach to control affine systems with a quadratic Lagrange term","publication":"Journal of Computational Dynamics","abstract":[{"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.","lang":"eng"}],"keyword":["Optimal control problem","Lagrangian system","Hamiltonian system","Variations","Pontryagin's maximum principle."],"ddc":["510"],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2158-2491","2158-2505"]},"has_accepted_license":"1","publication_status":"published","page":"0-0","citation":{"apa":"Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., Almagro, R. T. S. M. de, &#38; Szemenyei, F. O. (2024). A new Lagrangian approach to control affine systems with a quadratic Lagrange term. <i>Journal of Computational Dynamics</i>, <i>0</i>(0), 0–0. <a href=\"https://doi.org/10.3934/jcd.2024017\">https://doi.org/10.3934/jcd.2024017</a>","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={<a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>}, 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} }","mla":"Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” <i>Journal of Computational Dynamics</i>, vol. 0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi:<a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>.","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.","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. <i>Journal of Computational Dynamics</i>. 2024;0(0):0-0. doi:<a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>","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.” <i>Journal of Computational Dynamics</i> 0, no. 0 (2024): 0–0. <a href=\"https://doi.org/10.3934/jcd.2024017\">https://doi.org/10.3934/jcd.2024017</a>.","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,” <i>Journal of Computational Dynamics</i>, vol. 0, no. 0, pp. 0–0, 2024, doi: <a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>."},"oa":"1","date_updated":"2024-03-28T16:07:34Z","volume":"0","author":[{"full_name":"Leyendecker, Sigrid","last_name":"Leyendecker","first_name":"Sigrid"},{"first_name":"Sofya","last_name":"Maslovskaya","full_name":"Maslovskaya, Sofya","id":"87909"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"},{"last_name":"Almagro","full_name":"Almagro, Rodrigo T. Sato Martín de","first_name":"Rodrigo T. Sato Martín de"},{"first_name":"Flóra Orsolya","last_name":"Szemenyei","full_name":"Szemenyei, Flóra Orsolya"}],"doi":"10.3934/jcd.2024017","main_file_link":[{"url":"https://www.aimsciences.org/article/doi/10.3934/jcd.2024017","open_access":"1"}],"type":"journal_article","status":"public","_id":"53101","department":[{"_id":"636"}],"user_id":"87909","article_type":"original"},{"status":"public","type":"journal_article","article_number":"34","_id":"53542","department":[{"_id":"555"}],"user_id":"100325","intvolume":"        24","citation":{"mla":"Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, 34, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>.","bibtex":"@article{Papageorgiou_2024, title={Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces}, volume={24}, DOI={<a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>}, number={234}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2024} }","short":"E. Papageorgiou, Journal of Evolution Equations 24 (2024).","apa":"Papageorgiou, E. (2024). Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. <i>Journal of Evolution Equations</i>, <i>24</i>(2), Article 34. <a href=\"https://doi.org/10.1007/s00028-024-00959-6\">https://doi.org/10.1007/s00028-024-00959-6</a>","ieee":"E. Papageorgiou, “Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces,” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, Art. no. 34, 2024, doi: <a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>.","chicago":"Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” <i>Journal of Evolution Equations</i> 24, no. 2 (2024). <a href=\"https://doi.org/10.1007/s00028-024-00959-6\">https://doi.org/10.1007/s00028-024-00959-6</a>.","ama":"Papageorgiou E. Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. <i>Journal of Evolution Equations</i>. 2024;24(2). doi:<a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>"},"publication_identifier":{"issn":["1424-3199","1424-3202"]},"publication_status":"published","doi":"10.1007/s00028-024-00959-6","date_updated":"2024-04-17T13:20:29Z","volume":24,"author":[{"first_name":"Efthymia","last_name":"Papageorgiou","id":"100325","full_name":"Papageorgiou, Efthymia"}],"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>This work deals with the extension problem for the fractional Laplacian on Riemannian symmetric spaces <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic> of noncompact type and of general rank, which gives rise to a family of convolution operators, including the Poisson operator. More precisely, motivated by Euclidean results for the Poisson semigroup, we study the long-time asymptotic behavior of solutions to the extension problem for <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msup>\r\n                    <mml:mi>L</mml:mi>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:msup>\r\n                </mml:math></jats:alternatives></jats:inline-formula> initial data. In the case of the Laplace–Beltrami operator, we show that if the initial data are bi-<jats:italic>K</jats:italic>-invariant, then the solution to the extension problem behaves asymptotically as the mass times the fundamental solution, but this convergence may break down in the non-bi-<jats:italic>K</jats:italic>-invariant case. In the second part, we investigate the long-time asymptotic behavior of the extension problem associated with the so-called distinguished Laplacian on <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic>. In this case, we observe phenomena which are similar to the Euclidean setting for the Poisson semigroup, such as <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msup>\r\n                    <mml:mi>L</mml:mi>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:msup>\r\n                </mml:math></jats:alternatives></jats:inline-formula> asymptotic convergence without the assumption of bi-<jats:italic>K</jats:italic>-invariance.</jats:p>"}],"publication":"Journal of Evolution Equations","keyword":["Mathematics (miscellaneous)"],"language":[{"iso":"eng"}],"year":"2024","issue":"2","title":"Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces","publisher":"Springer Science and Business Media LLC","date_created":"2024-04-17T13:18:30Z"},{"title":"Research on curriculum resources in mathematics education: a survey of the field","doi":"10.1007/s11858-024-01559-x","date_updated":"2024-04-18T08:20:42Z","publisher":"Springer","date_created":"2024-03-15T08:46:00Z","author":[{"id":"31132","full_name":"Rezat, Sebastian","last_name":"Rezat","first_name":"Sebastian"}],"year":"2024","citation":{"ieee":"S. Rezat, “Research on curriculum resources in mathematics education: a survey of the field,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s11858-024-01559-x\">10.1007/s11858-024-01559-x</a>.","chicago":"Rezat, Sebastian. “Research on Curriculum Resources in Mathematics Education: A Survey of the Field.” <i>ZDM – Mathematics Education</i>, 2024. <a href=\"https://doi.org/10.1007/s11858-024-01559-x\">https://doi.org/10.1007/s11858-024-01559-x</a>.","ama":"Rezat S. Research on curriculum resources in mathematics education: a survey of the field. <i>ZDM – Mathematics Education</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s11858-024-01559-x\">10.1007/s11858-024-01559-x</a>","mla":"Rezat, Sebastian. “Research on Curriculum Resources in Mathematics Education: A Survey of the Field.” <i>ZDM – Mathematics Education</i>, Springer, 2024, doi:<a href=\"https://doi.org/10.1007/s11858-024-01559-x\">10.1007/s11858-024-01559-x</a>.","short":"S. Rezat, ZDM – Mathematics Education (2024).","bibtex":"@article{Rezat_2024, title={Research on curriculum resources in mathematics education: a survey of the field}, DOI={<a href=\"https://doi.org/10.1007/s11858-024-01559-x\">10.1007/s11858-024-01559-x</a>}, journal={ZDM – Mathematics Education}, publisher={Springer}, author={Rezat, Sebastian}, year={2024} }","apa":"Rezat, S. (2024). Research on curriculum resources in mathematics education: a survey of the field. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-024-01559-x\">https://doi.org/10.1007/s11858-024-01559-x</a>"},"publication_status":"epub_ahead","has_accepted_license":"1","language":[{"iso":"eng"}],"_id":"52584","user_id":"31132","department":[{"_id":"360"}],"status":"public","type":"journal_article","publication":"ZDM – Mathematics Education"},{"publication_status":"published","has_accepted_license":"1","citation":{"ama":"Barzel B, Greefrath G, Nagel M, Hoffmann M. Digitalisierung als Chance für alle Prinzipien guten Unterrichts. <i>mathematik lehren</i>. 2024;242:42-47.","ieee":"B. Barzel, G. Greefrath, M. Nagel, and M. Hoffmann, “Digitalisierung als Chance für alle Prinzipien guten Unterrichts,” <i>mathematik lehren</i>, vol. 242, pp. 42–47, 2024.","chicago":"Barzel, Bärbel, Gilbert Greefrath, Mareike Nagel, and Max Hoffmann. “Digitalisierung als Chance für alle Prinzipien guten Unterrichts.” <i>mathematik lehren</i> 242 (2024): 42–47.","short":"B. Barzel, G. Greefrath, M. Nagel, M. Hoffmann, mathematik lehren 242 (2024) 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} }","mla":"Barzel, Bärbel, et al. “Digitalisierung als Chance für alle Prinzipien guten Unterrichts.” <i>mathematik lehren</i>, vol. 242, 2024, pp. 42–47.","apa":"Barzel, B., Greefrath, G., Nagel, M., &#38; Hoffmann, M. (2024). Digitalisierung als Chance für alle Prinzipien guten Unterrichts. <i>mathematik lehren</i>, <i>242</i>, 42–47."},"intvolume":"       242","page":"42 - 47","oa":"1","date_updated":"2024-04-18T08:57:42Z","author":[{"first_name":"Bärbel","last_name":"Barzel","full_name":"Barzel, Bärbel"},{"first_name":"Gilbert","full_name":"Greefrath, Gilbert","last_name":"Greefrath"},{"full_name":"Nagel, Mareike","last_name":"Nagel","first_name":"Mareike"},{"first_name":"Max","full_name":"Hoffmann, Max","id":"32202","last_name":"Hoffmann","orcid":"0000-0002-6964-7123"}],"volume":242,"main_file_link":[{"open_access":"1","url":"https://www.friedrich-verlag.de/shop/mwdownloads/download/link/id/114555/"}],"type":"journal_article","status":"public","_id":"51841","user_id":"37888","department":[{"_id":"643"}],"article_type":"original","file_date_updated":"2024-02-25T20:55:29Z","year":"2024","date_created":"2024-02-25T20:58:51Z","title":"Digitalisierung als Chance für alle Prinzipien guten Unterrichts","publication":"mathematik lehren","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."}],"file":[{"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","access_level":"closed","file_size":1410541,"content_type":"application/pdf","relation":"main_file","success":1}],"ddc":["510","370"],"language":[{"iso":"ger"}]},{"_id":"50554","user_id":"37888","series_title":"DaZ-Handbücher","department":[{"_id":"643"}],"language":[{"iso":"ger"}],"type":"book_chapter","publication":"Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis","editor":[{"first_name":"Christian","full_name":"Efing, Christian","last_name":"Efing"},{"full_name":"Kalkavan-Aydin, Zeynep","last_name":"Kalkavan-Aydin","first_name":"Zeynep"}],"status":"public","date_updated":"2024-04-18T08:58:14Z","oa":"1","publisher":"DE GRUYTER","author":[{"first_name":"Susanne","full_name":"Prediger, Susanne","last_name":"Prediger"},{"last_name":"Wessel","full_name":"Wessel, Lena","id":"85190","first_name":"Lena"}],"date_created":"2024-01-17T10:58:04Z","volume":"Band 3","title":"31 Sprachbildung im berufsbezogenen Mathematikunterricht.","main_file_link":[{"url":"https://www.degruyter.com/document/doi/10.1515/9783110745504/pdf?licenseType=restricted#page=381","open_access":"1"}],"publication_status":"published","publication_identifier":{"isbn":["978-3-11-074544-3"]},"year":"2024","place":"Berlin","citation":{"ama":"Prediger S, Wessel L. 31 Sprachbildung im berufsbezogenen Mathematikunterricht. In: Efing C, Kalkavan-Aydin Z, eds. <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis</i>. Vol Band 3. DaZ-Handbücher. DE GRUYTER; 2024:363-372.","chicago":"Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen Mathematikunterricht.” In <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis</i>, 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 <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis</i>, vol. Band 3, C. Efing and Z. Kalkavan-Aydin, Eds. Berlin: DE GRUYTER, 2024, pp. 363–372.","apa":"Prediger, S., &#38; Wessel, L. (2024). 31 Sprachbildung im berufsbezogenen Mathematikunterricht. In C. Efing &#38; Z. Kalkavan-Aydin (Eds.), <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis: Vol. Band 3</i> (pp. 363–372). DE GRUYTER.","mla":"Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen Mathematikunterricht.” <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis</i>, edited by Christian Efing and Zeynep Kalkavan-Aydin, vol. Band 3, DE GRUYTER, 2024, pp. 363–72.","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} }","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."},"page":"363-372"},{"year":"2024","intvolume":"       218","citation":{"apa":"Weich, T., &#38; Wolf, L. L. (2024). Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>, <i>218</i>, Article 76. <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>","short":"T. Weich, L.L. Wolf, Geom Dedicata 218 (2024).","bibtex":"@article{Weich_Wolf_2024, title={Temperedness of locally symmetric spaces: The product case}, volume={218}, DOI={<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>}, number={76}, journal={Geom Dedicata}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2024} }","mla":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i>, vol. 218, 76, 2024, doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","ieee":"T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” <i>Geom Dedicata</i>, vol. 218, Art. no. 76, 2024, doi: <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i> 218 (2024). <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","ama":"Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>. 2024;218. doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>"},"date_updated":"2024-05-07T11:44:34Z","volume":218,"date_created":"2024-02-06T21:00:55Z","author":[{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"},{"first_name":"Lasse Lennart","id":"45027","full_name":"Wolf, Lasse Lennart","last_name":"Wolf","orcid":"0000-0001-8893-2045"}],"title":"Temperedness of locally symmetric spaces: The product case","doi":"https://doi.org/10.1007/s10711-024-00904-4","publication":"Geom Dedicata","type":"journal_article","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$\\Gamma$."}],"status":"public","external_id":{"arxiv":["2304.09573"]},"_id":"51207","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"user_id":"45027","article_number":"76","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"user_id":"44184","department":[{"_id":"543"}],"_id":"54078","status":"public","type":"journal_article","publication":"HLZ – Herausforderung Lehrer*innenbildung","doi":"10.11576/hlz-6727","title":"Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule","date_created":"2024-05-08T08:40:45Z","author":[{"first_name":"Uta","id":"60267","full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide"},{"first_name":"Lara Marie","last_name":"Graf","full_name":"Graf, Lara Marie","id":"89837"},{"last_name":"Höveler","full_name":"Höveler, K.","first_name":"K."},{"last_name":"Nührenbörger","full_name":"Nührenbörger, M.","first_name":"M."}],"volume":7,"date_updated":"2024-05-08T08:42:20Z","citation":{"ieee":"U. Häsel-Weide, L. M. Graf, K. Höveler, and M. Nührenbörger, “Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule,” <i>HLZ – Herausforderung Lehrer*innenbildung</i>, vol. 7, no. 1, 2024, doi: <a href=\"https://doi.org/10.11576/hlz-6727\">10.11576/hlz-6727</a>.","chicago":"Häsel-Weide, Uta, Lara Marie Graf, K. Höveler, and M. Nührenbörger. “Fachbezogene Professionalisierung von Fachfremd Mathematik Unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen Zur Expertise Im Umgang Mit Schwierigkeiten Beim Mathematiklernen Im Anfangsunterricht Der Grundschule.” <i>HLZ – Herausforderung Lehrer*innenbildung</i> 7, no. 1 (2024). <a href=\"https://doi.org/10.11576/hlz-6727\">https://doi.org/10.11576/hlz-6727</a>.","ama":"Häsel-Weide U, Graf LM, Höveler K, Nührenbörger M. Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule. <i>HLZ – Herausforderung Lehrer*innenbildung</i>. 2024;7(1). doi:<a href=\"https://doi.org/10.11576/hlz-6727\">10.11576/hlz-6727</a>","apa":"Häsel-Weide, U., Graf, L. M., Höveler, K., &#38; Nührenbörger, M. (2024). Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule. <i>HLZ – Herausforderung Lehrer*innenbildung</i>, <i>7</i>(1). <a href=\"https://doi.org/10.11576/hlz-6727\">https://doi.org/10.11576/hlz-6727</a>","short":"U. Häsel-Weide, L.M. Graf, K. Höveler, M. Nührenbörger, HLZ – Herausforderung Lehrer*innenbildung 7 (2024).","bibtex":"@article{Häsel-Weide_Graf_Höveler_Nührenbörger_2024, title={Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule}, volume={7}, DOI={<a href=\"https://doi.org/10.11576/hlz-6727\">10.11576/hlz-6727</a>}, number={1}, journal={HLZ – Herausforderung Lehrer*innenbildung}, author={Häsel-Weide, Uta and Graf, Lara Marie and Höveler, K. and Nührenbörger, M.}, year={2024} }","mla":"Häsel-Weide, Uta, et al. “Fachbezogene Professionalisierung von Fachfremd Mathematik Unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen Zur Expertise Im Umgang Mit Schwierigkeiten Beim Mathematiklernen Im Anfangsunterricht Der Grundschule.” <i>HLZ – Herausforderung Lehrer*innenbildung</i>, vol. 7, no. 1, 2024, doi:<a href=\"https://doi.org/10.11576/hlz-6727\">10.11576/hlz-6727</a>."},"intvolume":"         7","year":"2024","issue":"1"},{"doi":"10.1007/s11858-024-01584-w","title":"The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning","author":[{"full_name":"Lankeit, Elisa","last_name":"Lankeit","first_name":"Elisa"},{"last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274","first_name":"Rolf"}],"date_created":"2024-05-10T07:48:10Z","date_updated":"2024-05-10T07:49:19Z","publisher":"Springer Science and Business Media LLC","citation":{"ama":"Lankeit E, Biehler R. The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning. <i>ZDM – Mathematics Education</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>","chicago":"Lankeit, Elisa, and Rolf Biehler. “The Meaning Landscape of the Concept of the Total Derivative in Multivariable Real Analysis Textbooks: An Analysis Based on a New Model of Meaning.” <i>ZDM – Mathematics Education</i>, 2024. <a href=\"https://doi.org/10.1007/s11858-024-01584-w\">https://doi.org/10.1007/s11858-024-01584-w</a>.","ieee":"E. Lankeit and R. Biehler, “The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>.","apa":"Lankeit, E., &#38; Biehler, R. (2024). The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-024-01584-w\">https://doi.org/10.1007/s11858-024-01584-w</a>","short":"E. Lankeit, R. Biehler, ZDM – Mathematics Education (2024).","bibtex":"@article{Lankeit_Biehler_2024, title={The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning}, DOI={<a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Elisa and Biehler, Rolf}, year={2024} }","mla":"Lankeit, Elisa, and Rolf Biehler. “The Meaning Landscape of the Concept of the Total Derivative in Multivariable Real Analysis Textbooks: An Analysis Based on a New Model of Meaning.” <i>ZDM – Mathematics Education</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>."},"year":"2024","publication_status":"published","publication_identifier":{"issn":["1863-9690","1863-9704"]},"language":[{"iso":"eng"}],"user_id":"37888","department":[{"_id":"363"}],"_id":"54144","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>In this paper, we propose a novel conceptual framework tailored for modeling the meaning of mathematical concepts in university-level mathematics, addressing their rigorous nature and their relationships with related concepts as well as interpretations in various contexts. Within this framework, we present a model of meaning for the concepts of total differentiability and total derivative that provides a variety of possible interpretations and aspects. We then use the proposed model of meaning as a tool for analyzing three different textbooks for mathematics majors on the topic of multidimensional differentiability. Our paper is an example of a subject matter analysis of a topic in university mathematics carried out in a structured way. The model of meaning for total differentiability presented in this paper could inspire course design and analysis including the design of assignments and assessments for students. Moreover, it could serve as a valuable research tool for further analyses. For example, it could be used as a framework for analyzing courses taught or as a basis for developing a test instrument to assess students’ understanding. With our textbook analysis, we begin to examine the landscape of textbooks regarding differentiability concepts in the multidimensional case, shedding light on the diversity of meaning facets that are covered in the textbooks. These results could be useful for guiding instructors and learners in selecting and using textbooks for teaching and learning based on their respective needs.</jats:p>"}],"type":"journal_article","publication":"ZDM – Mathematics Education"},{"doi":"10.1007/s00209-024-03511-x","title":"Transitivity in finite general linear groups","volume":307,"date_created":"2024-04-17T12:26:51Z","author":[{"last_name":"Ernst","id":"46953","full_name":"Ernst, Alena","first_name":"Alena"},{"full_name":"Schmidt, Kai-Uwe","last_name":"Schmidt","first_name":"Kai-Uwe"}],"date_updated":"2024-06-17T10:04:29Z","intvolume":"       307","citation":{"ieee":"A. Ernst and K.-U. Schmidt, “Transitivity in finite general linear groups,” <i>Mathematische Zeitschrift</i>, vol. 307, no. 45, 2024, doi: <a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>.","chicago":"Ernst, Alena, and Kai-Uwe Schmidt. “Transitivity in Finite General Linear Groups.” <i>Mathematische Zeitschrift</i> 307, no. 45 (2024). <a href=\"https://doi.org/10.1007/s00209-024-03511-x\">https://doi.org/10.1007/s00209-024-03511-x</a>.","ama":"Ernst A, Schmidt K-U. Transitivity in finite general linear groups. <i>Mathematische Zeitschrift</i>. 2024;307(45). doi:<a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>","apa":"Ernst, A., &#38; Schmidt, K.-U. (2024). Transitivity in finite general linear groups. <i>Mathematische Zeitschrift</i>, <i>307</i>(45). <a href=\"https://doi.org/10.1007/s00209-024-03511-x\">https://doi.org/10.1007/s00209-024-03511-x</a>","short":"A. Ernst, K.-U. Schmidt, Mathematische Zeitschrift 307 (2024).","mla":"Ernst, Alena, and Kai-Uwe Schmidt. “Transitivity in Finite General Linear Groups.” <i>Mathematische Zeitschrift</i>, vol. 307, no. 45, 2024, doi:<a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>.","bibtex":"@article{Ernst_Schmidt_2024, title={Transitivity in finite general linear groups}, volume={307}, DOI={<a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>}, number={45}, journal={Mathematische Zeitschrift}, author={Ernst, Alena and Schmidt, Kai-Uwe}, year={2024} }"},"year":"2024","issue":"45","language":[{"iso":"eng"}],"department":[{"_id":"100"}],"user_id":"46953","_id":"53534","status":"public","abstract":[{"lang":"eng","text":"It is known that the notion of a transitive subgroup of a permutation group\r\n$G$ extends naturally to subsets of $G$. We consider subsets of the general\r\nlinear group $\\operatorname{GL}(n,q)$ acting transitively on flag-like\r\nstructures, which are common generalisations of $t$-dimensional subspaces of\r\n$\\mathbb{F}_q^n$ and bases of $t$-dimensional subspaces of $\\mathbb{F}_q^n$. We\r\ngive structural characterisations of transitive subsets of\r\n$\\operatorname{GL}(n,q)$ using the character theory of $\\operatorname{GL}(n,q)$\r\nand interpret such subsets as designs in the conjugacy class association\r\nscheme of $\\operatorname{GL}(n,q)$. In particular we generalise a theorem of\r\nPerin on subgroups of $\\operatorname{GL}(n,q)$ acting transitively on\r\n$t$-dimensional subspaces. We survey transitive subgroups of\r\n$\\operatorname{GL}(n,q)$, showing that there is no subgroup of\r\n$\\operatorname{GL}(n,q)$ with $1<t<n$ acting transitively on $t$-dimensional\r\nsubspaces unless it contains $\\operatorname{SL}(n,q)$ or is one of two\r\nexceptional groups. On the other hand, for all fixed $t$, we show that there\r\nexist nontrivial subsets of $\\operatorname{GL}(n,q)$ that are transitive on\r\nlinearly independent $t$-tuples of $\\mathbb{F}_q^n$, which also shows the\r\nexistence of nontrivial subsets of $\\operatorname{GL}(n,q)$ that are transitive\r\non more general flag-like structures. We establish connections with orthogonal\r\npolynomials, namely the Al-Salam-Carlitz polynomials, and generalise a result\r\nby Rudvalis and Shinoda on the distribution of the number of fixed points of\r\nthe elements in $\\operatorname{GL}(n,q)$. Many of our results can be\r\ninterpreted as $q$-analogs of corresponding results for the symmetric group."}],"publication":"Mathematische Zeitschrift","type":"journal_article"},{"language":[{"iso":"eng"}],"keyword":["multiobjective optimization","Pareto optimization","Lyapunov analysis","gradient-likedynamical systems","inertial dynamics","asymptotic vanishing damping","fast convergence"],"article_type":"original","department":[{"_id":"101"},{"_id":"655"}],"user_id":"56399","_id":"32447","status":"public","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 previously laid out in [H. Attouch and G. Garrigos, Multiobjective Optimization: An Inertial Dynamical Approach to Pareto Optima, preprint, arXiv:1506.02823, 2015]. 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 \\(\\mathcal{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."}],"publication":"SIAM Journal on Optimization","type":"journal_article","doi":"10.1137/23M1588512","title":"Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping","volume":34,"date_created":"2022-07-28T11:53:02Z","author":[{"first_name":"Konstantin","full_name":"Sonntag, Konstantin","id":"56399","last_name":"Sonntag","orcid":"https://orcid.org/0000-0003-3384-3496"},{"last_name":"Peitz","orcid":"0000-0002-3389-793X","id":"47427","full_name":"Peitz, Sebastian","first_name":"Sebastian"}],"date_updated":"2024-07-02T09:27:39Z","publisher":"Society for Industrial and Applied Mathematics","intvolume":"        34","page":"2259 - 2286","citation":{"ieee":"K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping,” <i>SIAM Journal on Optimization</i>, vol. 34, no. 3, pp. 2259–2286, 2024, doi: <a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>.","chicago":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” <i>SIAM Journal on Optimization</i> 34, no. 3 (2024): 2259–86. <a href=\"https://doi.org/10.1137/23M1588512\">https://doi.org/10.1137/23M1588512</a>.","apa":"Sonntag, K., &#38; Peitz, S. (2024). Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. <i>SIAM Journal on Optimization</i>, <i>34</i>(3), 2259–2286. <a href=\"https://doi.org/10.1137/23M1588512\">https://doi.org/10.1137/23M1588512</a>","ama":"Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. <i>SIAM Journal on Optimization</i>. 2024;34(3):2259-2286. doi:<a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>","bibtex":"@article{Sonntag_Peitz_2024, title={Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping}, volume={34}, DOI={<a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>}, number={3}, journal={SIAM Journal on Optimization}, publisher={Society for Industrial and Applied Mathematics}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024}, pages={2259–2286} }","short":"K. Sonntag, S. Peitz, SIAM Journal on Optimization 34 (2024) 2259–2286.","mla":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” <i>SIAM Journal on Optimization</i>, vol. 34, no. 3, Society for Industrial and Applied Mathematics, 2024, pp. 2259–86, doi:<a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>."},"year":"2024","issue":"3","publication_identifier":{"issn":["1095-7189"]},"publication_status":"published"},{"keyword":["Mathematics","Mathematik","Textbook","Curriculum Resources","Schulbuch"],"language":[{"iso":"eng"}],"_id":"55191","user_id":"31132","department":[{"_id":"360"}],"status":"public","type":"conference","publication":"Proceedings of the 14th International Congress on Mathematical Education","title":"Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics","doi":"10.1142/9789811287152_0065","date_updated":"2024-07-12T07:02:20Z","publisher":"World Scientific","date_created":"2024-07-12T06:58:06Z","author":[{"first_name":"Sebastian","full_name":"Rezat, Sebastian","id":"31132","last_name":"Rezat"},{"first_name":"Jana","last_name":"Visnovska","full_name":"Visnovska, Jana"},{"first_name":"Guorui","last_name":"Yan","full_name":"Yan, Guorui"},{"first_name":"Moneoang","full_name":"Leshota, Moneoang","last_name":"Leshota"},{"last_name":"Sabra","full_name":"Sabra, Hussein","first_name":"Hussein"}],"volume":1,"year":"2024","place":"Shanghai, China","citation":{"apa":"Rezat, S., Visnovska, J., Yan, G., Leshota, M., &#38; Sabra, H. (2024). Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics. <i>Proceedings of the 14th International Congress on Mathematical Education</i>, <i>1</i>, 537–545. <a href=\"https://doi.org/10.1142/9789811287152_0065\">https://doi.org/10.1142/9789811287152_0065</a>","mla":"Rezat, Sebastian, et al. “Topic Study Group 41: Research and Development on Textbooks and Resources for Learning and Teaching Mathematics.” <i>Proceedings of the 14th International Congress on Mathematical Education</i>, vol. 1, World Scientific, 2024, pp. 537–545, doi:<a href=\"https://doi.org/10.1142/9789811287152_0065\">10.1142/9789811287152_0065</a>.","bibtex":"@inproceedings{Rezat_Visnovska_Yan_Leshota_Sabra_2024, place={Shanghai, China}, title={Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics}, volume={1}, DOI={<a href=\"https://doi.org/10.1142/9789811287152_0065\">10.1142/9789811287152_0065</a>}, booktitle={Proceedings of the 14th International Congress on Mathematical Education}, publisher={World Scientific}, author={Rezat, Sebastian and Visnovska, Jana and Yan, Guorui and Leshota, Moneoang and Sabra, Hussein}, year={2024}, pages={537–545} }","short":"S. Rezat, J. Visnovska, G. Yan, M. Leshota, H. Sabra, in: Proceedings of the 14th International Congress on Mathematical Education, World Scientific, Shanghai, China, 2024, pp. 537–545.","ieee":"S. Rezat, J. Visnovska, G. Yan, M. Leshota, and H. Sabra, “Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics,” in <i>Proceedings of the 14th International Congress on Mathematical Education</i>, 2024, vol. 1, pp. 537–545, doi: <a href=\"https://doi.org/10.1142/9789811287152_0065\">10.1142/9789811287152_0065</a>.","chicago":"Rezat, Sebastian, Jana Visnovska, Guorui Yan, Moneoang Leshota, and Hussein Sabra. “Topic Study Group 41: Research and Development on Textbooks and Resources for Learning and Teaching Mathematics.” In <i>Proceedings of the 14th International Congress on Mathematical Education</i>, 1:537–545. Shanghai, China: World Scientific, 2024. <a href=\"https://doi.org/10.1142/9789811287152_0065\">https://doi.org/10.1142/9789811287152_0065</a>.","ama":"Rezat S, Visnovska J, Yan G, Leshota M, Sabra H. Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics. In: <i>Proceedings of the 14th International Congress on Mathematical Education</i>. Vol 1. World Scientific; 2024:537–545. doi:<a href=\"https://doi.org/10.1142/9789811287152_0065\">10.1142/9789811287152_0065</a>"},"page":"537–545","intvolume":"         1","publication_status":"published"}]