--- _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 & 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 & 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 & 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 & 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 & 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 & 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' ... --- _id: '52809' author: - first_name: Leander full_name: Kempen, Leander last_name: Kempen - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer citation: ama: 'Kempen L, Liebendörfer M. Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie. 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; 2023:91–106.' apa: Kempen, L., & Liebendörfer, M. (2023). Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie. 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. 91–106). WTM. bibtex: '@inbook{Kempen_Liebendörfer_2023, place={Münster}, title={Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum}, publisher={WTM}, author={Kempen, Leander and Liebendörfer, Michael}, editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={91–106} }' chicago: 'Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden Der Mathematik Während Der Corona-Pandemie.” 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, 91–106. Münster: WTM, 2023.' ieee: 'L. Kempen and M. Liebendörfer, “Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie,” 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. 91–106.' mla: Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden Der Mathematik Während Der Corona-Pandemie.” 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. 91–106. short: 'L. Kempen, M. Liebendörfer, 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. 91–106.' date_created: 2024-03-25T10:05:42Z date_updated: 2024-03-25T10:09:51Z 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: 91–106 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: Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie type: book_chapter user_id: '30933' year: '2023' ... --- _id: '52813' author: - first_name: Sarah full_name: Schlüter, Sarah last_name: Schlüter - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer citation: ama: 'Schlüter S, Liebendörfer M. Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In: Goethe-Universität Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. Vol 2. WTM; 2023:1177–1180. doi:10.37626/GA9783959872089.0' apa: Schlüter, S., & Liebendörfer, M. (2023). Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol. 2, pp. 1177–1180). WTM. https://doi.org/10.37626/GA9783959872089.0 bibtex: '@inbook{Schlüter_Liebendörfer_2023, place={Münster}, title={Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen}, volume={2}, DOI={10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Schlüter, Sarah and Liebendörfer, Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={1177–1180} }' chicago: 'Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 2:1177–1180. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.' ieee: 'S. Schlüter and M. Liebendörfer, “Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen,” in Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 1177–1180.' mla: Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 1177–1180, doi:10.37626/GA9783959872089.0. short: 'S. Schlüter, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 1177–1180.' date_created: 2024-03-25T10:06:24Z date_updated: 2024-03-25T10:09:27Z 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: ' 2' page: 1177–1180 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: Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen type: book_chapter user_id: '30933' volume: 2 year: '2023' ... --- _id: '52812' author: - first_name: Sandra full_name: Krämer, Sandra last_name: Krämer - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer citation: ama: 'Krämer S, Liebendörfer M. Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben. In: Goethe-Universität Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. Vol 2. WTM; 2023:949–952. doi:10.37626/GA9783959872089.0' apa: Krämer, S., & Liebendörfer, M. (2023). Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben. In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol. 2, pp. 949–952). WTM. https://doi.org/10.37626/GA9783959872089.0 bibtex: '@inbook{Krämer_Liebendörfer_2023, place={Münster}, title={Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben}, volume={2}, DOI={10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Krämer, Sandra and Liebendörfer, Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={949–952} }' chicago: 'Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität Durch Lernvideos Mit Interaktiven Aufgaben.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 2:949–952. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.' ieee: 'S. Krämer and M. Liebendörfer, “Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben,” in Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 949–952.' mla: Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität Durch Lernvideos Mit Interaktiven Aufgaben.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 949–952, doi:10.37626/GA9783959872089.0. short: 'S. Krämer, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 949–952.' date_created: 2024-03-25T10:06:16Z date_updated: 2024-03-25T10:09:35Z 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: ' 2' page: 949–952 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: Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben type: book_chapter user_id: '30933' volume: 2 year: '2023' ... --- _id: '52807' abstract: - lang: eng text: Many preservice mathematics teachers lose their motivation during their first year at university. This phenomenon has been repeatedly described in recent years but is not yet fully under­stood. Since motivation may relate to different objects such as mathematics or teaching, we aim to qualitatively reconstruct different facets of the central motivational constructs of Situated-Expectancy-Value theory (intrinsic value, attainment value, utility value, cost, and expectancy of success) for preservice mathematics teachers. The analysis of longitudinal group interviews of 14 pre­service higher-secondary mathematic teachers from a German university revealed different objects of motivation (e.g., teaching mathematics, scientific mathematics, procedural mathematics, or proof-based mathematics) in preservice teachers' values and expectancy of success. Furthermore, relations between those values and expectancy of success were identified that played a significant role in preservice teachers’ motivational development over their first semester (e.g., relations of attain­ment value for scientific mathematics and psychological cost). Theoretical and practical implications towards a teaching-specific conceptualization of expectancy of success and values and value interventions are being discussed. citation: ama: Preservice teachers’ mathematics-related values and expectancy in the transition from school to university. Published online 2023. doi:10.48489/QUADRANTE.31191 apa: Preservice teachers’ mathematics-related values and expectancy in the transition from school to university. (2023). https://doi.org/10.48489/QUADRANTE.31191 bibtex: '@article{Preservice teachers’ mathematics-related values and expectancy in the transition from school to university_2023, DOI={10.48489/QUADRANTE.31191}, year={2023} }' chicago: “Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition from School to University,” 2023. https://doi.org/10.48489/QUADRANTE.31191. ieee: '“Preservice teachers’ mathematics-related values and expectancy in the transition from school to university,” 2023, doi: 10.48489/QUADRANTE.31191.' mla: Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition from School to University. 2023, doi:10.48489/QUADRANTE.31191. short: (2023). date_created: 2024-03-25T10:02:25Z date_updated: 2024-03-25T10:10:11Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' doi: 10.48489/QUADRANTE.31191 language: - iso: en status: public title: Preservice teachers’ mathematics-related values and expectancy in the transition from school to university type: journal_article user_id: '30933' year: '2023' ... --- _id: '16296' abstract: - lang: eng text: "Multiobjective optimization plays an increasingly important role in modern\r\napplications, where several objectives are often of equal importance. The task\r\nin multiobjective optimization and multiobjective optimal control is therefore\r\nto compute the set of optimal compromises (the Pareto set) between the\r\nconflicting objectives. Since the Pareto set generally consists of an infinite\r\nnumber of solutions, the computational effort can quickly become challenging\r\nwhich is particularly problematic when the objectives are costly to evaluate as\r\nis the case for models governed by partial differential equations (PDEs). To\r\ndecrease the numerical effort to an affordable amount, surrogate models can be\r\nused to replace the expensive PDE evaluations. Existing multiobjective\r\noptimization methods using model reduction are limited either to low parameter\r\ndimensions or to few (ideally two) objectives. In this article, we present a\r\ncombination of the reduced basis model reduction method with a continuation\r\napproach using inexact gradients. The resulting approach can handle an\r\narbitrary number of objectives while yielding a significant reduction in\r\ncomputing time." author: - first_name: Stefan full_name: Banholzer, Stefan last_name: Banholzer - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: https://orcid.org/0000-0002-3389-793X - first_name: Stefan full_name: Volkwein, Stefan last_name: Volkwein citation: ama: 'Banholzer S, Gebken B, Dellnitz M, Peitz S, Volkwein S. ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In: Michael H, Roland H, Christian K, Michael U, Stefan U, eds. Non-Smooth and Complementarity-Based Distributed Parameter Systems. Springer; 2022:43-76. doi:10.1007/978-3-030-79393-7_3' apa: Banholzer, S., Gebken, B., Dellnitz, M., Peitz, S., & Volkwein, S. (2022). ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In H. Michael, H. Roland, K. Christian, U. Michael, & U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems (pp. 43–76). Springer. https://doi.org/10.1007/978-3-030-79393-7_3 bibtex: '@inbook{Banholzer_Gebken_Dellnitz_Peitz_Volkwein_2022, place={Cham}, title={ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation}, DOI={10.1007/978-3-030-79393-7_3}, booktitle={Non-Smooth and Complementarity-Based Distributed Parameter Systems}, publisher={Springer}, author={Banholzer, Stefan and Gebken, Bennet and Dellnitz, Michael and Peitz, Sebastian and Volkwein, Stefan}, editor={Michael, Hintermüller and Roland, Herzog and Christian, Kanzow and Michael, Ulbrich and Stefan, Ulbrich}, year={2022}, pages={43–76} }' chicago: 'Banholzer, Stefan, Bennet Gebken, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.” In Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael, Herzog Roland, Kanzow Christian, Ulbrich Michael, and Ulbrich Stefan, 43–76. Cham: Springer, 2022. https://doi.org/10.1007/978-3-030-79393-7_3.' ieee: 'S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation,” in Non-Smooth and Complementarity-Based Distributed Parameter Systems, H. Michael, H. Roland, K. Christian, U. Michael, and U. Stefan, Eds. Cham: Springer, 2022, pp. 43–76.' mla: Banholzer, Stefan, et al. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.” Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael et al., Springer, 2022, pp. 43–76, doi:10.1007/978-3-030-79393-7_3. short: 'S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael, H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.' date_created: 2020-03-13T12:45:31Z date_updated: 2022-03-14T13:04:51Z department: - _id: '101' - _id: '655' doi: 10.1007/978-3-030-79393-7_3 editor: - first_name: Hintermüller full_name: Michael, Hintermüller last_name: Michael - first_name: Herzog full_name: Roland, Herzog last_name: Roland - first_name: Kanzow full_name: Christian, Kanzow last_name: Christian - first_name: Ulbrich full_name: Michael, Ulbrich last_name: Michael - first_name: Ulbrich full_name: Stefan, Ulbrich last_name: Stefan language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/1906.09075.pdf oa: '1' page: 43-76 place: Cham publication: Non-Smooth and Complementarity-Based Distributed Parameter Systems publication_identifier: isbn: - 978-3-030-79392-0 publisher: Springer status: public title: ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation type: book_chapter user_id: '47427' year: '2022' ... --- _id: '30294' abstract: - lang: eng text: With the ever increasing capabilities of sensors and controllers, autonomous driving is quickly becoming a reality. This disruptive change in the automotive industry poses major challenges for manufacturers as well as suppliers as entirely new design and testing strategies have to be developed to remain competitive. Most importantly, the complexity of autonomously driving vehicles in a complex, uncertain, and safety-critical environment requires new testing procedures to cover the almost infinite range of potential scenarios. author: - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz - first_name: Sebastian full_name: Bannenberg, Sebastian last_name: Bannenberg citation: ama: 'Peitz S, Dellnitz M, Bannenberg S. Efficient Virtual Design and Testing of Autonomous Vehicles. In: Bock HG, Küfer K-H, Maas P, Milde A, Schulz V, eds. German Success Stories in Industrial Mathematics. Vol 35. Mathematics in Industry. Springer International Publishing; 2022. doi:10.1007/978-3-030-81455-7_23' apa: Peitz, S., Dellnitz, M., & Bannenberg, S. (2022). Efficient Virtual Design and Testing of Autonomous Vehicles. In H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, & V. Schulz (Eds.), German Success Stories in Industrial Mathematics (Vol. 35). Springer International Publishing. https://doi.org/10.1007/978-3-030-81455-7_23 bibtex: '@inbook{Peitz_Dellnitz_Bannenberg_2022, place={Cham}, series={Mathematics in Industry}, title={Efficient Virtual Design and Testing of Autonomous Vehicles}, volume={35}, DOI={10.1007/978-3-030-81455-7_23}, booktitle={German Success Stories in Industrial Mathematics}, publisher={Springer International Publishing}, author={Peitz, Sebastian and Dellnitz, Michael and Bannenberg, Sebastian}, editor={Bock, H. G. and Küfer, K.-H. and Maas, P. and Milde, A. and Schulz, V.}, year={2022}, collection={Mathematics in Industry} }' chicago: 'Peitz, Sebastian, Michael Dellnitz, and Sebastian Bannenberg. “Efficient Virtual Design and Testing of Autonomous Vehicles.” In German Success Stories in Industrial Mathematics, edited by H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Vol. 35. Mathematics in Industry. Cham: Springer International Publishing, 2022. https://doi.org/10.1007/978-3-030-81455-7_23.' ieee: 'S. Peitz, M. Dellnitz, and S. Bannenberg, “Efficient Virtual Design and Testing of Autonomous Vehicles,” in German Success Stories in Industrial Mathematics, vol. 35, H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Eds. Cham: Springer International Publishing, 2022.' mla: Peitz, Sebastian, et al. “Efficient Virtual Design and Testing of Autonomous Vehicles.” German Success Stories in Industrial Mathematics, edited by H. G. Bock et al., vol. 35, Springer International Publishing, 2022, doi:10.1007/978-3-030-81455-7_23. short: 'S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas, A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Springer International Publishing, Cham, 2022.' date_created: 2022-03-14T07:32:41Z date_updated: 2022-03-14T07:42:01Z department: - _id: '101' - _id: '655' doi: 10.1007/978-3-030-81455-7_23 editor: - first_name: H. G. full_name: Bock, H. G. last_name: Bock - first_name: K.-H. full_name: Küfer, K.-H. last_name: Küfer - first_name: P. full_name: Maas, P. last_name: Maas - first_name: A. full_name: Milde, A. last_name: Milde - first_name: V. full_name: Schulz, V. last_name: Schulz intvolume: ' 35' language: - iso: eng place: Cham publication: German Success Stories in Industrial Mathematics publication_identifier: isbn: - '9783030814540' - '9783030814557' issn: - 1612-3956 - 2198-3283 publication_status: published publisher: Springer International Publishing series_title: Mathematics in Industry status: public title: Efficient Virtual Design and Testing of Autonomous Vehicles type: book_chapter user_id: '47427' volume: 35 year: '2022' ... --- _id: '30490' author: - first_name: Jacky full_name: Cresson, Jacky last_name: Cresson - first_name: Fernando full_name: Jiménez, Fernando last_name: Jiménez - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum citation: ama: Cresson J, Jiménez F, Ober-Blöbaum S. Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations. AIMS. 2022;14(1):57-89. apa: Cresson, J., Jiménez, F., & Ober-Blöbaum, S. (2022). Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations. AIMS, 14(1), 57–89. bibtex: '@article{Cresson_Jiménez_Ober-Blöbaum_2022, title={Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations}, volume={14(1)}, journal={AIMS}, author={Cresson, Jacky and Jiménez, Fernando and Ober-Blöbaum, Sina}, year={2022}, pages={57–89} }' chicago: 'Cresson, Jacky, Fernando Jiménez, and Sina Ober-Blöbaum. “Continuous and Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of Variations.” AIMS 14(1) (2022): 57–89.' ieee: J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations,” AIMS, vol. 14(1), pp. 57–89, 2022. mla: Cresson, Jacky, et al. “Continuous and Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of Variations.” AIMS, vol. 14(1), 2022, pp. 57–89. short: J. Cresson, F. Jiménez, S. Ober-Blöbaum, AIMS 14(1) (2022) 57–89. date_created: 2022-03-24T12:26:10Z date_updated: 2022-03-24T12:26:32Z department: - _id: '636' language: - iso: eng page: 57-89 publication: AIMS status: public title: Continuous and discrete Noether's fractional conserved quantities for restricted calculus of variations type: journal_article user_id: '15694' volume: 14(1) year: '2022' ... --- _id: '30861' abstract: - lang: eng text: AbstractWe consider the problem of maximization of metabolite production in bacterial cells formulated as a dynamical optimal control problem (DOCP). According to Pontryagin’s maximum principle, optimal solutions are concatenations of singular and bang arcs and exhibit the chattering or Fuller phenomenon, which is problematic for applications. To avoid chattering, we introduce a reduced model which is still biologically relevant and retains the important structural features of the original problem. Using a combination of analytical and numerical methods, we show that the singular arc is dominant in the studied DOCPs and exhibits the turnpike property. This property is further used in order to design simple and realistic suboptimal control strategies. author: - first_name: Jean-Baptiste full_name: Caillau, Jean-Baptiste last_name: Caillau - first_name: Walid full_name: Djema, Walid last_name: Djema - first_name: Jean-Luc full_name: Gouzé, Jean-Luc last_name: Gouzé - first_name: Sofya full_name: Maslovskaya, Sofya id: '87909' last_name: Maslovskaya - first_name: Jean-Baptiste full_name: Pomet, Jean-Baptiste last_name: Pomet citation: ama: Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications. Published online 2022. doi:10.1007/s10957-022-02023-0 apa: Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., & Pomet, J.-B. (2022). Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-022-02023-0 bibtex: '@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property in Optimal Microbial Metabolite Production}, DOI={10.1007/s10957-022-02023-0}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022} }' chicago: Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya, and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, 2022. https://doi.org/10.1007/s10957-022-02023-0. ieee: 'J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike Property in Optimal Microbial Metabolite Production,” Journal of Optimization Theory and Applications, 2022, doi: 10.1007/s10957-022-02023-0.' mla: Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, Springer Science and Business Media LLC, 2022, doi:10.1007/s10957-022-02023-0. short: J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022). date_created: 2022-04-08T17:23:13Z date_updated: 2022-04-08T18:23:02Z department: - _id: '636' doi: 10.1007/s10957-022-02023-0 keyword: - Applied Mathematics - Management Science and Operations Research - Control and Optimization language: - iso: eng publication: Journal of Optimization Theory and Applications publication_identifier: issn: - 0022-3239 - 1573-2878 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Turnpike Property in Optimal Microbial Metabolite Production type: journal_article user_id: '87909' year: '2022' ... --- _id: '31982' abstract: - lang: eng text: "AbstractWe show that for a generic conformal metric perturbation of a compact hyperbolic 3-manifold $$\\Sigma $$\r\n \ Σ\r\n with Betti number $$b_1$$\r\n \r\n \ b\r\n 1\r\n \ \r\n , the order of vanishing of the Ruelle zeta function at zero equals $$4-b_1$$\r\n \r\n \ 4\r\n -\r\n \ \r\n b\r\n \ 1\r\n \r\n \ \r\n , while in the hyperbolic case it is equal to $$4-2b_1$$\r\n \r\n \ 4\r\n -\r\n \ 2\r\n \r\n b\r\n \ 1\r\n \r\n \ \r\n . This is in contrast to the 2-dimensional case where the order of vanishing is a topological invariant. The proof uses the microlocal approach to dynamical zeta functions, giving a geometric description of generalized Pollicott–Ruelle resonant differential forms at 0 in the hyperbolic case and using first variation for the perturbation. To show that the first variation is generically nonzero we introduce a new identity relating pushforwards of products of resonant and coresonant 2-forms on the sphere bundle $$S\\Sigma $$\r\n \ \r\n S\r\n Σ\r\n \ \r\n with harmonic 1-forms on $$\\Sigma $$\r\n \ Σ\r\n ." author: - first_name: Mihajlo full_name: Cekić, Mihajlo last_name: Cekić - first_name: Benjamin full_name: Delarue, Benjamin id: '70575' last_name: Delarue - first_name: Semyon full_name: Dyatlov, Semyon last_name: Dyatlov - first_name: Gabriel P. full_name: Paternain, Gabriel P. last_name: Paternain citation: ama: Cekić M, Delarue B, Dyatlov S, Paternain GP. The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Inventiones mathematicae. 2022;229(1):303-394. doi:10.1007/s00222-022-01108-x apa: Cekić, M., Delarue, B., Dyatlov, S., & Paternain, G. P. (2022). The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Inventiones Mathematicae, 229(1), 303–394. https://doi.org/10.1007/s00222-022-01108-x bibtex: '@article{Cekić_Delarue_Dyatlov_Paternain_2022, title={The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds}, volume={229}, DOI={10.1007/s00222-022-01108-x}, number={1}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Cekić, Mihajlo and Delarue, Benjamin and Dyatlov, Semyon and Paternain, Gabriel P.}, year={2022}, pages={303–394} }' chicago: 'Cekić, Mihajlo, Benjamin Delarue, Semyon Dyatlov, and Gabriel P. Paternain. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” Inventiones Mathematicae 229, no. 1 (2022): 303–94. https://doi.org/10.1007/s00222-022-01108-x.' ieee: 'M. Cekić, B. Delarue, S. Dyatlov, and G. P. Paternain, “The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds,” Inventiones mathematicae, vol. 229, no. 1, pp. 303–394, 2022, doi: 10.1007/s00222-022-01108-x.' mla: Cekić, Mihajlo, et al. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” Inventiones Mathematicae, vol. 229, no. 1, Springer Science and Business Media LLC, 2022, pp. 303–94, doi:10.1007/s00222-022-01108-x. short: M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae 229 (2022) 303–394. date_created: 2022-06-20T08:24:17Z date_updated: 2022-06-21T11:55:15Z department: - _id: '548' doi: 10.1007/s00222-022-01108-x intvolume: ' 229' issue: '1' keyword: - General Mathematics language: - iso: eng page: 303-394 publication: Inventiones mathematicae publication_identifier: issn: - 0020-9910 - 1432-1297 publication_status: published publisher: Springer Science and Business Media LLC status: public title: The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds type: journal_article user_id: '70575' volume: 229 year: '2022' ... --- _id: '32233' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: Melina full_name: Wallner, Melina id: '45445' last_name: Wallner - first_name: M. full_name: Hattermann, M. last_name: Hattermann citation: ama: 'Häsel-Weide U, Wallner M, Hattermann M. Symmetrieverständnis von Anfang an. In: Gutzmann M, Carle U, Grundschulverband e. V., eds. Anfangsunterricht für alle Kinder - Willkommen in der Schule!. ; 2022:200-215.' apa: Häsel-Weide, U., Wallner, M., & Hattermann, M. (2022). Symmetrieverständnis von Anfang an. In M. Gutzmann, U. Carle, & Grundschulverband e. V. (Eds.), Anfangsunterricht für alle Kinder - Willkommen in der Schule! (pp. 200–215). bibtex: '@inbook{Häsel-Weide_Wallner_Hattermann_2022, place={Frankfurt a. M.}, title={Symmetrieverständnis von Anfang an}, booktitle={Anfangsunterricht für alle Kinder - Willkommen in der Schule!}, author={Häsel-Weide, Uta and Wallner, Melina and Hattermann, M.}, editor={Gutzmann, M. and Carle, U. and Grundschulverband e. V.}, year={2022}, pages={200–215} }' chicago: Häsel-Weide, Uta, Melina Wallner, and M. Hattermann. “Symmetrieverständnis von Anfang an.” In Anfangsunterricht für alle Kinder - Willkommen in der Schule!, edited by M. Gutzmann, U. Carle, and Grundschulverband e. V., 200–215. Frankfurt a. M., 2022. ieee: U. Häsel-Weide, M. Wallner, and M. Hattermann, “Symmetrieverständnis von Anfang an,” in Anfangsunterricht für alle Kinder - Willkommen in der Schule!, M. Gutzmann, U. Carle, and Grundschulverband e. V., Eds. Frankfurt a. M., 2022, pp. 200–215. mla: Häsel-Weide, Uta, et al. “Symmetrieverständnis von Anfang an.” Anfangsunterricht für alle Kinder - Willkommen in der Schule!, edited by M. Gutzmann et al., 2022, pp. 200–15. short: 'U. Häsel-Weide, M. Wallner, M. Hattermann, in: M. Gutzmann, U. Carle, Grundschulverband e. V. (Eds.), Anfangsunterricht für alle Kinder - Willkommen in der Schule!, Frankfurt a. M., 2022, pp. 200–215.' corporate_editor: - Grundschulverband e. V. date_created: 2022-06-28T06:30:12Z date_updated: 2022-07-05T06:48:40Z department: - _id: '98' - _id: '543' editor: - first_name: M. full_name: Gutzmann, M. last_name: Gutzmann - first_name: U. full_name: Carle, U. last_name: Carle language: - iso: ger page: 200-215 place: Frankfurt a. M. publication: Anfangsunterricht für alle Kinder - Willkommen in der Schule! publication_status: published status: public title: Symmetrieverständnis von Anfang an type: book_chapter user_id: '45445' year: '2022' ...