--- _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' ... --- _id: '32339' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: S. full_name: Seitz, S. last_name: Seitz - first_name: Melina full_name: Wallner, Melina id: '45445' last_name: Wallner - first_name: Y. full_name: Wilke, Y. last_name: Wilke citation: ama: 'Häsel-Weide U, Seitz S, Wallner M, Wilke Y. Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe. In: Lutz D, Becker J, Buchhaupt F, Katzenbach D, Strecker A, Urban M, eds. Qualifizierung für Inklusion. Sekundarstufe. Waxmann; 2022:83-100.' apa: Häsel-Weide, U., Seitz, S., Wallner, M., & Wilke, Y. (2022). Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe. In D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, & M. Urban (Eds.), Qualifizierung für Inklusion. Sekundarstufe (pp. 83–100). Waxmann. bibtex: '@inbook{Häsel-Weide_Seitz_Wallner_Wilke_2022, place={Münster}, title={Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe}, booktitle={Qualifizierung für Inklusion. Sekundarstufe}, publisher={Waxmann}, author={Häsel-Weide, Uta and Seitz, S. and Wallner, Melina and Wilke, Y.}, editor={Lutz, D. and Becker, J. and Buchhaupt, F. and Katzenbach, D. and Strecker, A. and Urban, M.}, year={2022}, pages={83–100} }' chicago: 'Häsel-Weide, Uta, S. Seitz, Melina Wallner, and Y. Wilke. “Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe.” In Qualifizierung für Inklusion. Sekundarstufe, edited by D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, and M. Urban, 83–100. Münster: Waxmann, 2022.' ieee: 'U. Häsel-Weide, S. Seitz, M. Wallner, and Y. Wilke, “Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe,” in Qualifizierung für Inklusion. Sekundarstufe, D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, and M. Urban, Eds. Münster: Waxmann, 2022, pp. 83–100.' mla: Häsel-Weide, Uta, et al. “Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe.” Qualifizierung für Inklusion. Sekundarstufe, edited by D. Lutz et al., Waxmann, 2022, pp. 83–100. short: 'U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, in: D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, M. Urban (Eds.), Qualifizierung für Inklusion. Sekundarstufe, Waxmann, Münster, 2022, pp. 83–100.' date_created: 2022-07-11T05:31:28Z date_updated: 2022-07-11T05:31:46Z department: - _id: '98' - _id: '543' editor: - first_name: D. full_name: Lutz, D. last_name: Lutz - first_name: J. full_name: Becker, J. last_name: Becker - first_name: F. full_name: Buchhaupt, F. last_name: Buchhaupt - first_name: D. full_name: Katzenbach, D. last_name: Katzenbach - first_name: A. full_name: Strecker, A. last_name: Strecker - first_name: M. full_name: Urban, M. last_name: Urban language: - iso: ger page: 83-100 place: Münster publication: Qualifizierung für Inklusion. Sekundarstufe publication_status: published publisher: Waxmann status: public title: Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe type: book_chapter user_id: '85821' year: '2022' ... --- _id: '32338' author: - first_name: K. full_name: Hähn, K. last_name: Hähn - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: P. full_name: Scherer, P. last_name: Scherer citation: ama: Hähn K, Häsel-Weide U, Scherer P. Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung für Inklusion. 2022;3(2). apa: Hähn, K., Häsel-Weide, U., & Scherer, P. (2022). Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung für Inklusion, 3(2). bibtex: '@article{Hähn_Häsel-Weide_Scherer_2022, title={Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.}, volume={3}, number={2}, journal={QfI - Qualifizierung für Inklusion}, author={Hähn, K. and Häsel-Weide, Uta and Scherer, P.}, year={2022} }' chicago: Hähn, K., Uta Häsel-Weide, and P. Scherer. “Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.” QfI - Qualifizierung für Inklusion 3, no. 2 (2022). ieee: K. Hähn, U. Häsel-Weide, and P. Scherer, “Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.,” QfI - Qualifizierung für Inklusion, vol. 3, no. 2, 2022. mla: Hähn, K., et al. “Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.” QfI - Qualifizierung für Inklusion, vol. 3, no. 2, 2022. short: K. Hähn, U. Häsel-Weide, P. Scherer, QfI - Qualifizierung für Inklusion 3 (2022). date_created: 2022-07-11T05:13:52Z date_updated: 2022-07-11T05:31:41Z department: - _id: '98' - _id: '543' intvolume: ' 3' issue: '2' language: - iso: ger publication: QfI - Qualifizierung für Inklusion publication_status: published related_material: link: - relation: contains url: https://doi.org/10.21248/qfi.72 status: public title: Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung. type: journal_article user_id: '85821' volume: 3 year: '2022' ... --- _id: '29673' abstract: - lang: eng text: Koopman operator theory has been successfully applied to problems from various research areas such as fluid dynamics, molecular dynamics, climate science, engineering, and biology. Applications include detecting metastable or coherent sets, coarse-graining, system identification, and control. There is an intricate connection between dynamical systems driven by stochastic differential equations and quantum mechanics. In this paper, we compare the ground-state transformation and Nelson's stochastic mechanics and demonstrate how data-driven methods developed for the approximation of the Koopman operator can be used to analyze quantum physics problems. Moreover, we exploit the relationship between Schrödinger operators and stochastic control problems to show that modern data-driven methods for stochastic control can be used to solve the stationary or imaginary-time Schrödinger equation. Our findings open up a new avenue towards solving Schrödinger's equation using recently developed tools from data science. author: - first_name: Stefan full_name: Klus, Stefan last_name: Klus - first_name: Feliks full_name: Nüske, Feliks id: '81513' last_name: Nüske orcid: 0000-0003-2444-7889 - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X citation: ama: 'Klus S, Nüske F, Peitz S. Koopman analysis of quantum systems. Journal of Physics A: Mathematical and Theoretical. 2022;55(31):314002. doi:10.1088/1751-8121/ac7d22' apa: 'Klus, S., Nüske, F., & Peitz, S. (2022). Koopman analysis of quantum systems. Journal of Physics A: Mathematical and Theoretical, 55(31), 314002. https://doi.org/10.1088/1751-8121/ac7d22' bibtex: '@article{Klus_Nüske_Peitz_2022, title={Koopman analysis of quantum systems}, volume={55}, DOI={10.1088/1751-8121/ac7d22}, number={31}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing Ltd.}, author={Klus, Stefan and Nüske, Feliks and Peitz, Sebastian}, year={2022}, pages={314002} }' chicago: 'Klus, Stefan, Feliks Nüske, and Sebastian Peitz. “Koopman Analysis of Quantum Systems.” Journal of Physics A: Mathematical and Theoretical 55, no. 31 (2022): 314002. https://doi.org/10.1088/1751-8121/ac7d22.' ieee: 'S. Klus, F. Nüske, and S. Peitz, “Koopman analysis of quantum systems,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 31, p. 314002, 2022, doi: 10.1088/1751-8121/ac7d22.' mla: 'Klus, Stefan, et al. “Koopman Analysis of Quantum Systems.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 31, IOP Publishing Ltd., 2022, p. 314002, doi:10.1088/1751-8121/ac7d22.' short: 'S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.' date_created: 2022-01-31T09:49:40Z date_updated: 2022-07-18T14:26:41Z department: - _id: '655' - _id: '101' doi: 10.1088/1751-8121/ac7d22 external_id: arxiv: - '2201.12062' intvolume: ' 55' issue: '31' language: - iso: eng main_file_link: - open_access: '1' url: https://iopscience.iop.org/article/10.1088/1751-8121/ac7d22/pdf oa: '1' page: '314002' publication: 'Journal of Physics A: Mathematical and Theoretical' publication_status: published publisher: IOP Publishing Ltd. status: public title: Koopman analysis of quantum systems type: journal_article user_id: '47427' volume: 55 year: '2022' ... --- _id: '34618' abstract: - lang: eng text: "In this article, we show how second-order derivative information can be\r\nincorporated into gradient sampling methods for nonsmooth optimization. The\r\nsecond-order information we consider is essentially the set of coefficients of\r\nall second-order Taylor expansions of the objective in a closed ball around a\r\ngiven point. Based on this concept, we define a model of the objective as the\r\nmaximum of these Taylor expansions. Iteratively minimizing this model\r\n(constrained to the closed ball) results in a simple descent method, for which\r\nwe prove convergence to minimal points in case the objective is convex. To\r\nobtain an implementable method, we construct an approximation scheme for the\r\nsecond-order information based on sampling objective values, gradients and\r\nHessian matrices at finitely many points. Using a set of test problems, we\r\ncompare the resulting method to five other available solvers. Considering the\r\nnumber of function evaluations, the results suggest that the method we propose\r\nis superior to the standard gradient sampling method, and competitive compared\r\nto other methods." author: - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken citation: ama: Gebken B. Using second-order information in gradient sampling methods for  nonsmooth optimization. arXiv:221004579. Published online 2022. apa: Gebken, B. (2022). Using second-order information in gradient sampling methods for  nonsmooth optimization. In arXiv:2210.04579. bibtex: '@article{Gebken_2022, title={Using second-order information in gradient sampling methods for  nonsmooth optimization}, journal={arXiv:2210.04579}, author={Gebken, Bennet}, year={2022} }' chicago: Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods for  Nonsmooth Optimization.” ArXiv:2210.04579, 2022. ieee: B. Gebken, “Using second-order information in gradient sampling methods for  nonsmooth optimization,” arXiv:2210.04579. 2022. mla: Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods for  Nonsmooth Optimization.” ArXiv:2210.04579, 2022. short: B. Gebken, ArXiv:2210.04579 (2022). date_created: 2022-12-20T15:25:17Z date_updated: 2022-12-20T15:28:54Z department: - _id: '101' external_id: arxiv: - '2210.04579' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2210.04579 oa: '1' publication: arXiv:2210.04579 status: public title: Using second-order information in gradient sampling methods for nonsmooth optimization type: preprint user_id: '32643' year: '2022' ... --- _id: '34792' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic. p-Adic Numbers, Ultrametric Analysis, and Applications. 2022;14(2):138–144. doi:10.1134/S2070046622020042 apa: Glöckner, H. (2022). Non-Lie subgroups in Lie groups over local fields of positive characteristic. P-Adic Numbers, Ultrametric Analysis, and Applications, 14(2), 138–144. https://doi.org/10.1134/S2070046622020042 bibtex: '@article{Glöckner_2022, title={Non-Lie subgroups in Lie groups over local fields of positive characteristic}, volume={14}, DOI={10.1134/S2070046622020042}, number={2}, journal={p-Adic Numbers, Ultrametric Analysis, and Applications}, author={Glöckner, Helge}, year={2022}, pages={138–144} }' chicago: 'Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications 14, no. 2 (2022): 138–144. https://doi.org/10.1134/S2070046622020042.' ieee: 'H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive characteristic,” p-Adic Numbers, Ultrametric Analysis, and Applications, vol. 14, no. 2, pp. 138–144, 2022, doi: 10.1134/S2070046622020042.' mla: Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications, vol. 14, no. 2, 2022, pp. 138–144, doi:10.1134/S2070046622020042. short: H. Glöckner, P-Adic Numbers, Ultrametric Analysis, and Applications 14 (2022) 138–144. date_created: 2022-12-21T19:27:51Z date_updated: 2022-12-21T19:30:25Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1134/S2070046622020042 intvolume: ' 14' issue: '2' keyword: - 20Exx - 22Exx - 32Cxx language: - iso: eng page: 138–144 publication: p-Adic Numbers, Ultrametric Analysis, and Applications publication_identifier: issn: - 2070-0466 quality_controlled: '1' status: public title: Non-Lie subgroups in Lie groups over local fields of positive characteristic type: journal_article user_id: '178' volume: 14 year: '2022' ... --- _id: '34791' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding citation: ama: Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry. 2022;61(2):359–398. doi:10.1007/s10455-021-09816-y apa: Glöckner, H., & Schmeding, A. (2022). Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry, 61(2), 359–398. https://doi.org/10.1007/s10455-021-09816-y bibtex: '@article{Glöckner_Schmeding_2022, title={Manifolds of mappings on Cartesian products}, volume={61}, DOI={10.1007/s10455-021-09816-y}, number={2}, journal={Annals of Global Analysis and Geometry}, author={Glöckner, Helge and Schmeding, Alexander}, year={2022}, pages={359–398} }' chicago: 'Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” Annals of Global Analysis and Geometry 61, no. 2 (2022): 359–398. https://doi.org/10.1007/s10455-021-09816-y.' ieee: 'H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,” Annals of Global Analysis and Geometry, vol. 61, no. 2, pp. 359–398, 2022, doi: 10.1007/s10455-021-09816-y.' mla: Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” Annals of Global Analysis and Geometry, vol. 61, no. 2, 2022, pp. 359–398, doi:10.1007/s10455-021-09816-y. short: H. Glöckner, A. Schmeding, Annals of Global Analysis and Geometry 61 (2022) 359–398. date_created: 2022-12-21T19:24:48Z date_updated: 2022-12-21T19:27:09Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1007/s10455-021-09816-y intvolume: ' 61' issue: '2' keyword: - 58D15 - '22E65' - '26E15' - '26E20' - '46E40' - 46T20 - 58A05 language: - iso: eng page: 359–398 publication: Annals of Global Analysis and Geometry publication_identifier: issn: - 0232-704X quality_controlled: '1' status: public title: Manifolds of mappings on Cartesian products type: journal_article user_id: '178' volume: 61 year: '2022' ... --- _id: '34796' abstract: - lang: eng text: 'We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials). The results are applied in two areas: (1) in the theory of infinite-dimensional vector bundles, to construct new bundles from given ones, such as dual bundles, topological tensor products, infinite direct sums, and completions (under suitable hypotheses); (2) in the theory of locally convex Poisson vector spaces, to prove continuity of the Poisson bracket and continuity of passage from a function to the associated Hamiltonian vector field. Topological properties of topological vector spaces are essential for the studies, which allow the hypocontinuity of bilinear mappings to be exploited. Notably, we encounter kR-spaces and locally convex spaces E such that E×E is a kR-space.' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. Axioms. 2022;11(5). doi:10.3390/axioms11050221 apa: Glöckner, H. (2022). Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. Axioms, 11(5). https://doi.org/10.3390/axioms11050221 bibtex: '@article{Glöckner_2022, title={Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces}, volume={11}, DOI={10.3390/axioms11050221}, number={5}, journal={Axioms}, author={Glöckner, Helge}, year={2022} }' chicago: Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” Axioms 11, no. 5 (2022). https://doi.org/10.3390/axioms11050221. ieee: 'H. Glöckner, “Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces,” Axioms, vol. 11, no. 5, 2022, doi: 10.3390/axioms11050221.' mla: Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” Axioms, vol. 11, no. 5, 2022, doi:10.3390/axioms11050221. short: H. Glöckner, Axioms 11 (2022). date_created: 2022-12-21T20:02:29Z date_updated: 2022-12-22T07:31:55Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.3390/axioms11050221 intvolume: ' 11' issue: '5' language: - iso: eng publication: Axioms publication_identifier: issn: - 2075-1680 quality_controlled: '1' status: public title: Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces type: journal_article user_id: '178' volume: 11 year: '2022' ... --- _id: '34804' abstract: - lang: eng text: "Starting with a finite-dimensional complex Lie algebra, we extend scalars\r\nusing suitable commutative topological algebras. We study Birkhoff\r\ndecompositions for the corresponding loop groups. Some results remain valid for\r\nloop groups with valued in complex Banach-Lie groups." author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. arXiv:220611711. Published online 2022. apa: Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient algebras. In arXiv:2206.11711. bibtex: '@article{Glöckner_2022, title={Birkhoff decompositions for loop groups with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge}, year={2022} }' chicago: Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022. ieee: H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” arXiv:2206.11711. 2022. mla: Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022. short: H. Glöckner, ArXiv:2206.11711 (2022). date_created: 2022-12-22T07:42:07Z date_updated: 2022-12-22T07:44:08Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - '2206.11711' language: - iso: eng publication: arXiv:2206.11711 status: public title: Birkhoff decompositions for loop groups with coefficient algebras type: preprint user_id: '178' year: '2022' ... --- _id: '31556' abstract: - lang: ger text: Mehrzieloptimierung behandelt Probleme, bei denen mehrere skalare Zielfunktionen simultan optimiert werden sollen. Ein Punkt ist in diesem Fall optimal, wenn es keinen anderen Punkt gibt, der mindestens genauso gut ist in allen Zielfunktionen und besser in mindestens einer Zielfunktion. Ein notwendiges Optimalitätskriterium lässt sich über Ableitungsinformationen erster Ordnung der Zielfunktionen herleiten. Die Menge der Punkte, die dieses notwendige Kriterium erfüllen, wird als Pareto-kritische Menge bezeichnet. Diese Arbeit enthält neue Resultate über Pareto-kritische Mengen für glatte und nicht-glatte Mehrzieloptimierungsprobleme, sowohl was deren Berechnung betrifft als auch deren Struktur. Im glatten Fall erfolgt die Berechnung über ein Fortsetzungsverfahren, im nichtglatten Fall über ein Abstiegsverfahren. Anschließend wird die Struktur des Randes der Pareto-kritischen Menge analysiert, welcher aus Pareto-kritischen Mengen kleinerer Subprobleme besteht. Schlussendlich werden inverse Probleme betrachtet, bei denen zu einer gegebenen Datenmenge ein Zielfunktionsvektor gefunden werden soll, für den die Datenpunkte kritisch sind. - lang: eng text: Multiobjective optimization is concerned with the simultaneous optimization of multiple scalar-valued functions. In this case, a point is optimal if there is no other point that is at least as good in all objectives and better in at least one objective. A necessary condition for optimality can be derived based on first-order information of the objectives. The set of points that satisfy this necessary condition is called the Pareto critical set. This thesis presents new results about Pareto critical sets for smooth and nonsmooth multiobjective optimization problems, both in terms of their efficient computation and structural properties. In the smooth case they are computed via a continuation method and in the nonsmooth case via a descent method. Afterwards, the structure of the boundary of the Pareto critical set is analyzed, which consists of Pareto critical sets of smaller subproblems. Finally, inverse problems are considered, where a data set is given and an objective vector is sought for which the data points are critical. author: - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken citation: ama: Gebken B. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization.; 2022. doi:10.17619/UNIPB/1-1327 apa: Gebken, B. (2022). Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. https://doi.org/10.17619/UNIPB/1-1327 bibtex: '@book{Gebken_2022, title={Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization}, DOI={10.17619/UNIPB/1-1327}, author={Gebken, Bennet}, year={2022} }' chicago: Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022. https://doi.org/10.17619/UNIPB/1-1327. ieee: B. Gebken, Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. 2022. mla: Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization. 2022, doi:10.17619/UNIPB/1-1327. short: B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022. date_created: 2022-06-01T06:48:08Z date_updated: 2022-06-01T07:13:09Z department: - _id: '101' doi: 10.17619/UNIPB/1-1327 language: - iso: eng main_file_link: - open_access: '1' url: https://digital.ub.uni-paderborn.de/hs/download/pdf/6531779 oa: '1' status: public supervisor: - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz title: Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization type: dissertation user_id: '32643' year: '2022' ... --- _id: '33150' abstract: - lang: eng text: In this article, we build on previous work to present an optimization algorithm for nonlinearly constrained multi-objective optimization problems. The algorithm combines a surrogate-assisted derivative-free trust-region approach with the filter method known from single-objective optimization. Instead of the true objective and constraint functions, so-called fully linear models are employed and we show how to deal with the gradient inexactness in the composite step setting, adapted from single-objective optimization as well. Under standard assumptions, we prove convergence of a subset of iterates to a quasi-stationary point and if constraint qualifications hold, then the limit point is also a KKT-point of the multi-objective problem. author: - first_name: Manuel Bastian full_name: Berkemeier, Manuel Bastian id: '51701' last_name: Berkemeier - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X citation: ama: Berkemeier MB, Peitz S. Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients. arXiv:220812094. Published online 2022. apa: Berkemeier, M. B., & Peitz, S. (2022). Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients. In arXiv:2208.12094. bibtex: '@article{Berkemeier_Peitz_2022, title={Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients}, journal={arXiv:2208.12094}, author={Berkemeier, Manuel Bastian and Peitz, Sebastian}, year={2022} }' chicago: Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094, 2022. ieee: M. B. Berkemeier and S. Peitz, “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients,” arXiv:2208.12094. 2022. mla: Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094, 2022. short: M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022). date_created: 2022-08-26T06:08:06Z date_updated: 2022-08-26T06:12:10Z department: - _id: '101' - _id: '655' external_id: arxiv: - '2208.12094' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2208.12094 oa: '1' publication: arXiv:2208.12094 status: public title: Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients type: preprint user_id: '47427' year: '2022' ... --- _id: '20731' abstract: - lang: eng text: We present a novel algorithm that allows us to gain detailed insight into the effects of sparsity in linear and nonlinear optimization, which is of great importance in many scientific areas such as image and signal processing, medical imaging, compressed sensing, and machine learning (e.g., for the training of neural networks). Sparsity is an important feature to ensure robustness against noisy data, but also to find models that are interpretable and easy to analyze due to the small number of relevant terms. It is common practice to enforce sparsity by adding the ℓ1-norm as a weighted penalty term. In order to gain a better understanding and to allow for an informed model selection, we directly solve the corresponding multiobjective optimization problem (MOP) that arises when we minimize the main objective and the ℓ1-norm simultaneously. As this MOP is in general non-convex for nonlinear objectives, the weighting method will fail to provide all optimal compromises. To avoid this issue, we present a continuation method which is specifically tailored to MOPs with two objective functions one of which is the ℓ1-norm. Our method can be seen as a generalization of well-known homotopy methods for linear regression problems to the nonlinear case. Several numerical examples - including neural network training - demonstrate our theoretical findings and the additional insight that can be gained by this multiobjective approach. article_type: original author: - first_name: Katharina full_name: Bieker, Katharina id: '32829' last_name: Bieker - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X citation: ama: Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2022;44(11):7797-7808. doi:10.1109/TPAMI.2021.3114962 apa: Bieker, K., Gebken, B., & Peitz, S. (2022). On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 44(11), 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962 bibtex: '@article{Bieker_Gebken_Peitz_2022, title={On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation}, volume={44}, DOI={10.1109/TPAMI.2021.3114962}, number={11}, journal={IEEE Transactions on Pattern Analysis and Machine Intelligence}, publisher={IEEE}, author={Bieker, Katharina and Gebken, Bennet and Peitz, Sebastian}, year={2022}, pages={7797–7808} }' chicago: 'Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence 44, no. 11 (2022): 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962.' ieee: 'K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, pp. 7797–7808, 2022, doi: 10.1109/TPAMI.2021.3114962.' mla: Bieker, Katharina, et al. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, IEEE, 2022, pp. 7797–808, doi:10.1109/TPAMI.2021.3114962. short: K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808. date_created: 2020-12-15T07:46:36Z date_updated: 2022-10-21T12:27:16Z ddc: - '510' department: - _id: '101' - _id: '530' - _id: '655' doi: 10.1109/TPAMI.2021.3114962 file: - access_level: closed content_type: application/pdf creator: speitz date_created: 2021-09-25T11:59:15Z date_updated: 2021-09-25T11:59:15Z file_id: '25040' file_name: On_the_Treatment_of_Optimization_Problems_with_L1_Penalty_Terms_via_Multiobjective_Continuation.pdf file_size: 7990831 relation: main_file success: 1 file_date_updated: 2021-09-25T11:59:15Z has_accepted_license: '1' intvolume: ' 44' issue: '11' language: - iso: eng main_file_link: - open_access: '1' url: https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9547772 oa: '1' page: 7797-7808 publication: IEEE Transactions on Pattern Analysis and Machine Intelligence publication_status: epub_ahead publisher: IEEE status: public title: On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation type: journal_article user_id: '47427' volume: 44 year: '2022' ... --- _id: '31193' abstract: - lang: eng text: "AbstractThe kinetic Brownian motion on the sphere bundle of a Riemannian manifold $$\\mathbb {M}$$\r\n \ M\r\n is a stochastic process that models a random perturbation of the geodesic flow. If $$\\mathbb {M}$$\r\n M\r\n \ is an orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the $$L^2$$\r\n \r\n \ L\r\n 2\r\n \ \r\n -spectrum of the infinitesimal generator of a time-rescaled version of the process converges to the Laplace spectrum of the base manifold." author: - first_name: Martin full_name: Kolb, Martin id: '48880' last_name: Kolb - 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: Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré. 2022;23(4):1283-1296. doi:10.1007/s00023-021-01121-5 apa: Kolb, M., Weich, T., & Wolf, L. L. (2022). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré, 23(4), 1283–1296. https://doi.org/10.1007/s00023-021-01121-5 bibtex: '@article{Kolb_Weich_Wolf_2022, title={Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature}, volume={23}, DOI={10.1007/s00023-021-01121-5}, number={4}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}, year={2022}, pages={1283–1296} }' chicago: 'Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré 23, no. 4 (2022): 1283–96. https://doi.org/10.1007/s00023-021-01121-5.' ieee: 'M. Kolb, T. Weich, and L. L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature,” Annales Henri Poincaré, vol. 23, no. 4, pp. 1283–1296, 2022, doi: 10.1007/s00023-021-01121-5.' mla: Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré, vol. 23, no. 4, Springer Science and Business Media LLC, 2022, pp. 1283–96, doi:10.1007/s00023-021-01121-5. short: M. Kolb, T. Weich, L.L. Wolf, Annales Henri Poincaré 23 (2022) 1283–1296. date_created: 2022-05-11T10:46:10Z date_updated: 2023-01-06T08:59:03Z department: - _id: '548' doi: 10.1007/s00023-021-01121-5 external_id: arxiv: - arXiv:2011.06434 intvolume: ' 23' issue: '4' keyword: - Mathematical Physics - Nuclear and High Energy Physics - Statistical and Nonlinear Physics language: - iso: eng page: 1283-1296 publication: Annales Henri Poincaré publication_identifier: issn: - 1424-0637 - 1424-0661 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature type: journal_article user_id: '49178' volume: 23 year: '2022' ... --- _id: '35306' author: - first_name: Yannick full_name: Guedes Bonthonneau, Yannick last_name: Guedes Bonthonneau - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923. doi:10.4171/jems/1103 apa: Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society, 24(3), 851–923. https://doi.org/10.4171/jems/1103 bibtex: '@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances for manifolds with hyperbolic cusps}, volume={24}, DOI={10.4171/jems/1103}, number={3}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau, Yannick and Weich, Tobias}, year={2022}, pages={851–923} }' chicago: 'Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical Society 24, no. 3 (2022): 851–923. https://doi.org/10.4171/jems/1103.' ieee: 'Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds with hyperbolic cusps,” Journal of the European Mathematical Society, vol. 24, no. 3, pp. 851–923, 2022, doi: 10.4171/jems/1103.' mla: Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical Society, vol. 24, no. 3, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 851–923, doi:10.4171/jems/1103. short: Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society 24 (2022) 851–923. date_created: 2023-01-05T16:23:34Z date_updated: 2023-01-06T08:47:35Z department: - _id: '10' - _id: '623' - _id: '548' doi: 10.4171/jems/1103 intvolume: ' 24' issue: '3' keyword: - Applied Mathematics - General Mathematics language: - iso: eng page: 851-923 publication: Journal of the European Mathematical Society publication_identifier: issn: - 1435-9855 publication_status: published publisher: European Mathematical Society - EMS - Publishing House GmbH status: public title: Ruelle–Pollicott resonances for manifolds with hyperbolic cusps type: journal_article user_id: '49178' volume: 24 year: '2022' ... --- _id: '34633' article_number: '114118' author: - first_name: Kerstin full_name: Hesse, Kerstin id: '42608' last_name: Hesse orcid: 0000-0003-4125-1941 - first_name: Quoc Thong full_name: Le Gia, Quoc Thong last_name: Le Gia citation: ama: Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118 apa: Hesse, K., & Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics, 408, Article 114118. https://doi.org/10.1016/j.cam.2022.114118 bibtex: '@article{Hesse_Le Gia_2022, title={L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data}, volume={408}, DOI={10.1016/j.cam.2022.114118}, number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }' chicago: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics 408 (2022). https://doi.org/10.1016/j.cam.2022.114118. ieee: 'K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data,” Journal of Computational and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118.' mla: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics, vol. 408, 114118, Elsevier BV, 2022, doi:10.1016/j.cam.2022.114118. short: K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408 (2022). date_created: 2022-12-20T17:37:16Z date_updated: 2023-01-09T08:23:56Z department: - _id: '10' doi: 10.1016/j.cam.2022.114118 intvolume: ' 408' keyword: - Applied Mathematics - Computational Mathematics language: - iso: eng publication: Journal of Computational and Applied Mathematics publication_identifier: issn: - 0377-0427 publication_status: published publisher: Elsevier BV status: public title: L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data type: journal_article user_id: '14931' volume: 408 year: '2022' ... --- _id: '34817' article_type: original author: - first_name: Maximilian full_name: Hanusch, Maximilian id: '30905' last_name: Hanusch citation: ama: Hanusch M. Regularity of Lie groups. Communications in Analysis and Geometry. 2022;30(1):53-152. doi:10.4310/cag.2022.v30.n1.a2 apa: Hanusch, M. (2022). Regularity of Lie groups. Communications in Analysis and Geometry, 30(1), 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2 bibtex: '@article{Hanusch_2022, title={Regularity of Lie groups}, volume={30}, DOI={10.4310/cag.2022.v30.n1.a2}, number={1}, journal={Communications in Analysis and Geometry}, publisher={International Press of Boston}, author={Hanusch, Maximilian}, year={2022}, pages={53–152} }' chicago: 'Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in Analysis and Geometry 30, no. 1 (2022): 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2.' ieee: 'M. Hanusch, “Regularity of Lie groups,” Communications in Analysis and Geometry, vol. 30, no. 1, pp. 53–152, 2022, doi: 10.4310/cag.2022.v30.n1.a2.' mla: Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in Analysis and Geometry, vol. 30, no. 1, International Press of Boston, 2022, pp. 53–152, doi:10.4310/cag.2022.v30.n1.a2. short: M. Hanusch, Communications in Analysis and Geometry 30 (2022) 53–152. date_created: 2022-12-22T09:19:43Z date_updated: 2023-01-09T18:07:30Z department: - _id: '93' doi: 10.4310/cag.2022.v30.n1.a2 extern: '1' intvolume: ' 30' issue: '1' keyword: - regularity of Lie groups language: - iso: eng page: 53-152 publication: Communications in Analysis and Geometry publication_identifier: issn: - 1019-8385 - 1944-9992 publication_status: published publisher: International Press of Boston status: public title: Regularity of Lie groups type: journal_article user_id: '30905' volume: 30 year: '2022' ... --- _id: '34856' author: - first_name: Maximilian full_name: Hanusch, Maximilian id: '30905' last_name: Hanusch citation: ama: Hanusch M. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching apa: Hanusch, M. (n.d.). Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching. bibtex: '@book{Hanusch, title={Analysis 1 und 2 Skript/Buch}, publisher={https://maximilianhanusch.wixsite.com/my-site/lehre-teaching}, author={Hanusch, Maximilian} }' chicago: Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d. ieee: M. Hanusch, Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching. mla: Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching. short: M. Hanusch, Analysis 1 und 2 Skript/Buch, https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d. date_created: 2022-12-22T17:06:02Z date_updated: 2023-01-09T18:07:00Z department: - _id: '93' language: - iso: ger page: '385' publication_status: draft publisher: https://maximilianhanusch.wixsite.com/my-site/lehre-teaching status: public title: Analysis 1 und 2 Skript/Buch type: working_paper user_id: '30905' year: '2022' ... --- _id: '35644' author: - first_name: Martin full_name: Kolb, Martin id: '48880' last_name: Kolb - first_name: Alexander full_name: Klump, Alexander id: '45067' last_name: Klump citation: ama: Kolb M, Klump A. Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary. Theory of Probability and its Applications. 2022;67(4):717-744. apa: Kolb, M., & Klump, A. (2022). Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary. Theory of Probability and Its Applications, 67(4), 717–744. bibtex: '@article{Kolb_Klump_2022, title={Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary}, volume={67}, number={4}, journal={Theory of Probability and its Applications}, publisher={Society for Industrial and Applied Mathematics}, author={Kolb, Martin and Klump, Alexander}, year={2022}, pages={717–744} }' chicago: 'Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability and Its Applications 67, no. 4 (2022): 717–44.' ieee: M. Kolb and A. Klump, “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary,” Theory of Probability and its Applications, vol. 67, no. 4, pp. 717–744, 2022. mla: Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability and Its Applications, vol. 67, no. 4, Society for Industrial and Applied Mathematics, 2022, pp. 717–44. short: M. Kolb, A. Klump, Theory of Probability and Its Applications 67 (2022) 717–744. date_created: 2023-01-10T08:13:17Z date_updated: 2023-01-10T08:13:30Z department: - _id: '96' intvolume: ' 67' issue: '4' language: - iso: eng page: 717-744 publication: Theory of Probability and its Applications publication_status: published publisher: Society for Industrial and Applied Mathematics status: public title: Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary type: journal_article user_id: '85821' volume: 67 year: '2022' ... --- _id: '35649' abstract: - lang: eng text: Motivated by the work [6] of Mariusz Bieniek, Krzysztof Burdzy and Soumik Pal we study a Fleming-Viot-type particle system consisting of independently moving particles each driven by generalized Bessel processes on the positive real line. Upon hitting the boundary {0} this particle is killed and an uniformly chosen different one branches into two particles. Using the symmetry of the model and the self similarity property of Bessel processes, we obtain a criterion to decide whether the particles converge to the origin at a finite time. This addresses open problem 1.4 in [6]. Specifically, inspired by [6, Open Problem 1.5], we investigate the case of three moving particles and refine the general result of [6, Theorem 1.1(ii)] extending the regime of drift parameters, where convergence does not occur – even to values, where it does occur when considering the case of only two particles. author: - first_name: Martin full_name: Kolb, Martin id: '48880' last_name: Kolb - first_name: Matthias full_name: Liesenfeld, Matthias last_name: Liesenfeld citation: ama: Kolb M, Liesenfeld M. On non-extinction in a Fleming-Viot-type particle model with Bessel drift. Electronic Journal of Probability. 2022;(27):1-28. doi:https://doi.org/10.1214/22-EJP866 apa: Kolb, M., & Liesenfeld, M. (2022). On non-extinction in a Fleming-Viot-type particle model with Bessel drift. Electronic Journal of Probability, 27, 1–28. https://doi.org/10.1214/22-EJP866 bibtex: '@article{Kolb_Liesenfeld_2022, title={On non-extinction in a Fleming-Viot-type particle model with Bessel drift}, DOI={https://doi.org/10.1214/22-EJP866}, number={27}, journal={Electronic Journal of Probability}, publisher={Institute of Mathematical Statistics}, author={Kolb, Martin and Liesenfeld, Matthias}, year={2022}, pages={1–28} }' chicago: 'Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type Particle Model with Bessel Drift.” Electronic Journal of Probability, no. 27 (2022): 1–28. https://doi.org/10.1214/22-EJP866.' ieee: 'M. Kolb and M. Liesenfeld, “On non-extinction in a Fleming-Viot-type particle model with Bessel drift,” Electronic Journal of Probability, no. 27, pp. 1–28, 2022, doi: https://doi.org/10.1214/22-EJP866.' mla: Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type Particle Model with Bessel Drift.” Electronic Journal of Probability, no. 27, Institute of Mathematical Statistics, 2022, pp. 1–28, doi:https://doi.org/10.1214/22-EJP866. short: M. Kolb, M. Liesenfeld, Electronic Journal of Probability (2022) 1–28. date_created: 2023-01-10T08:19:25Z date_updated: 2023-01-10T08:19:38Z department: - _id: '96' doi: https://doi.org/10.1214/22-EJP866 issue: '27' language: - iso: eng page: 1-28 publication: Electronic Journal of Probability publication_status: published publisher: Institute of Mathematical Statistics status: public title: On non-extinction in a Fleming-Viot-type particle model with Bessel drift type: journal_article user_id: '85821' year: '2022' ... --- _id: '35650' abstract: - lang: eng text: "We consider autoregressive sequences Xn = aXn−1 + ξn and\r\nMn = max{aMn−1 , ξn} with a constant a ∈ (0, 1) and with positive, in-\r\ndependent and identically distributed innovations {ξk }. It is known that if\r\nP(ξ1 > x) ∼ d\r\nlog x with some d ∈ (0, − log a) then the chains {Xn} and {Mn}\r\nare null recurrent. We investigate the tail behaviour of recurrence times in this\r\ncase of logarithmically decaying tails. More precisely, we show that the tails\r\nof recurrence times are regularly varying of index −1 − d/ log a. We also prove\r\nlimit theorems for {Xn} and {Mn} conditioned to stay over a fixed level x0.\r\nFurthermore, we study tail asymptotics for recurrence times of {Xn} and {Mn}\r\nin the case when these chains are positive recurrent and the tail of log ξ1 is\r\nsubexponential." author: - first_name: Denis full_name: Denisov, Denis last_name: Denisov - first_name: Günter full_name: Hinrichs, Günter last_name: Hinrichs - first_name: Martin full_name: Kolb, Martin id: '48880' last_name: Kolb - first_name: Vitali full_name: Wachtel, Vitali last_name: Wachtel citation: ama: Denisov D, Hinrichs G, Kolb M, Wachtel V. Persistence of autoregressive sequences with logarithmic tails. Electronic Journal of Probability. 2022;27:1-43. doi:https://doi.org/10.48550/arXiv.2203.14772 apa: Denisov, D., Hinrichs, G., Kolb, M., & Wachtel, V. (2022). Persistence of autoregressive sequences with logarithmic tails. Electronic Journal of Probability, 27, 1–43. https://doi.org/10.48550/arXiv.2203.14772 bibtex: '@article{Denisov_Hinrichs_Kolb_Wachtel_2022, title={Persistence of autoregressive sequences with logarithmic tails}, volume={27}, DOI={https://doi.org/10.48550/arXiv.2203.14772}, journal={Electronic Journal of Probability}, publisher={Institute of Mathematical Statistics}, author={Denisov, Denis and Hinrichs, Günter and Kolb, Martin and Wachtel, Vitali}, year={2022}, pages={1–43} }' chicago: 'Denisov, Denis, Günter Hinrichs, Martin Kolb, and Vitali Wachtel. “Persistence of Autoregressive Sequences with Logarithmic Tails.” Electronic Journal of Probability 27 (2022): 1–43. https://doi.org/10.48550/arXiv.2203.14772.' ieee: 'D. Denisov, G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of autoregressive sequences with logarithmic tails,” Electronic Journal of Probability, vol. 27, pp. 1–43, 2022, doi: https://doi.org/10.48550/arXiv.2203.14772.' mla: Denisov, Denis, et al. “Persistence of Autoregressive Sequences with Logarithmic Tails.” Electronic Journal of Probability, vol. 27, Institute of Mathematical Statistics, 2022, pp. 1–43, doi:https://doi.org/10.48550/arXiv.2203.14772. short: D. Denisov, G. Hinrichs, M. Kolb, V. Wachtel, Electronic Journal of Probability 27 (2022) 1–43. date_created: 2023-01-10T08:28:12Z date_updated: 2023-01-10T08:29:02Z department: - _id: '96' doi: https://doi.org/10.48550/arXiv.2203.14772 intvolume: ' 27' language: - iso: eng page: 1-43 publication: Electronic Journal of Probability publication_status: published publisher: Institute of Mathematical Statistics status: public title: Persistence of autoregressive sequences with logarithmic tails type: journal_article user_id: '85821' volume: 27 year: '2022' ... --- _id: '35685' author: - first_name: Michael full_name: Liebendörfer, Michael id: '30933' last_name: Liebendörfer orcid: 0000-0001-9887-2074 - first_name: Robin full_name: Göller, Robin last_name: Göller - first_name: Lara full_name: Gildehaus, Lara last_name: Gildehaus - first_name: Jörg full_name: Kortemeyer, Jörg last_name: Kortemeyer - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Reinhard full_name: Hochmuth, Reinhard last_name: Hochmuth - first_name: Laura full_name: Ostsieker, Laura last_name: Ostsieker - first_name: Jana full_name: Rode, Jana last_name: Rode - first_name: Niclas full_name: Schaper, Niclas last_name: Schaper citation: ama: Liebendörfer M, Göller R, Gildehaus L, et al. The role of learning strategies for performance in mathematics courses for engineers. International Journal of Mathematical Education in Science and Technology. 2022;53(5):1133-1152. doi:10.1080/0020739x.2021.2023772 apa: Liebendörfer, M., Göller, R., Gildehaus, L., Kortemeyer, J., Biehler, R., Hochmuth, R., Ostsieker, L., Rode, J., & Schaper, N. (2022). The role of learning strategies for performance in mathematics courses for engineers. International Journal of Mathematical Education in Science and Technology, 53(5), 1133–1152. https://doi.org/10.1080/0020739x.2021.2023772 bibtex: '@article{Liebendörfer_Göller_Gildehaus_Kortemeyer_Biehler_Hochmuth_Ostsieker_Rode_Schaper_2022, title={The role of learning strategies for performance in mathematics courses for engineers}, volume={53}, DOI={10.1080/0020739x.2021.2023772}, number={5}, journal={International Journal of Mathematical Education in Science and Technology}, publisher={Informa UK Limited}, author={Liebendörfer, Michael and Göller, Robin and Gildehaus, Lara and Kortemeyer, Jörg and Biehler, Rolf and Hochmuth, Reinhard and Ostsieker, Laura and Rode, Jana and Schaper, Niclas}, year={2022}, pages={1133–1152} }' chicago: 'Liebendörfer, Michael, Robin Göller, Lara Gildehaus, Jörg Kortemeyer, Rolf Biehler, Reinhard Hochmuth, Laura Ostsieker, Jana Rode, and Niclas Schaper. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” International Journal of Mathematical Education in Science and Technology 53, no. 5 (2022): 1133–52. https://doi.org/10.1080/0020739x.2021.2023772.' ieee: 'M. Liebendörfer et al., “The role of learning strategies for performance in mathematics courses for engineers,” International Journal of Mathematical Education in Science and Technology, vol. 53, no. 5, pp. 1133–1152, 2022, doi: 10.1080/0020739x.2021.2023772.' mla: Liebendörfer, Michael, et al. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” International Journal of Mathematical Education in Science and Technology, vol. 53, no. 5, Informa UK Limited, 2022, pp. 1133–52, doi:10.1080/0020739x.2021.2023772. short: M. Liebendörfer, R. Göller, L. Gildehaus, J. Kortemeyer, R. Biehler, R. Hochmuth, L. Ostsieker, J. Rode, N. Schaper, International Journal of Mathematical Education in Science and Technology 53 (2022) 1133–1152. date_created: 2023-01-10T08:56:30Z date_updated: 2023-01-10T08:58:56Z department: - _id: '363' doi: 10.1080/0020739x.2021.2023772 intvolume: ' 53' issue: '5' keyword: - Applied Mathematics - Education - Mathematics (miscellaneous) language: - iso: eng page: 1133-1152 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: The role of learning strategies for performance in mathematics courses for engineers type: journal_article user_id: '37888' volume: 53 year: '2022' ... --- _id: '35718' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Hubert full_name: Langlotz, Hubert last_name: Langlotz - first_name: Wilfried full_name: Zappe, Wilfried last_name: Zappe citation: ama: Biehler R, Langlotz H, Zappe W. Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln. mathematik lehren. 2022;2022(232):41–45. apa: Biehler, R., Langlotz, H., & Zappe, W. (2022). Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln. Mathematik Lehren, 2022(232), 41–45. bibtex: '@article{Biehler_Langlotz_Zappe_2022, title={Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln}, volume={2022}, number={232}, journal={mathematik lehren}, publisher={Friedrich Verlag}, author={Biehler, Rolf and Langlotz, Hubert and Zappe, Wilfried}, year={2022}, pages={41–45} }' chicago: 'Biehler, Rolf, Hubert Langlotz, and Wilfried Zappe. “Alles Normal?! Daten Auf Normalverteilung Prüfen–Mit Schulischen Mitteln.” Mathematik Lehren 2022, no. 232 (2022): 41–45.' ieee: R. Biehler, H. Langlotz, and W. Zappe, “Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln,” mathematik lehren, vol. 2022, no. 232, pp. 41–45, 2022. mla: Biehler, Rolf, et al. “Alles Normal?! Daten Auf Normalverteilung Prüfen–Mit Schulischen Mitteln.” Mathematik Lehren, vol. 2022, no. 232, Friedrich Verlag, 2022, pp. 41–45. short: R. Biehler, H. Langlotz, W. Zappe, Mathematik Lehren 2022 (2022) 41–45. date_created: 2023-01-10T09:25:23Z date_updated: 2023-01-11T08:02:49Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' intvolume: ' 2022' issue: '232' language: - iso: eng page: 41–45 publication: mathematik lehren publisher: Friedrich Verlag status: public title: Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln type: journal_article user_id: '37888' volume: 2022 year: '2022' ... --- _id: '35696' abstract: - lang: eng text: 'The data age has led to curriculum developments promoting the relevance of stochastics in mathematics education. This has resulted in an increased demand for teacher professional development (PD) courses, and thus in a rising number of facilitators for this purpose. Their expertise, however, remains under-researched, even though facilitators are the crucial factor in PD success. Our study aims at revealing how one aspect of facilitator expertise, orientation, is connected to other aspects: views on content goals, perception of possible challenges, and attitude towards teaching resources. The explorations reveal differing orientations and learning goals with identical teaching resources for two facilitators who had also been working as a team for the re-design of the PD course for years.' author: - first_name: Ralf full_name: Nieszporek, Ralf id: '59608' last_name: Nieszporek - first_name: Birgit full_name: Griese, Birgit last_name: Griese - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Nieszporek R, Griese B, Biehler R. Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t4b2' apa: 'Nieszporek, R., Griese, B., & Biehler, R. (2022). Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t4b2' bibtex: '@inbook{Nieszporek_Griese_Biehler_2022, place={Rosario, Argentina}, title={Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability}, DOI={10.52041/iase.icots11.t4b2}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Nieszporek, Ralf and Griese, Birgit and Biehler, Rolf}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }' chicago: 'Nieszporek, Ralf, Birgit Griese, and Rolf Biehler. “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability.” In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. Rosario, Argentina: International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t4b2.' ieee: 'R. Nieszporek, B. Griese, and R. Biehler, “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan, Eds. Rosario, Argentina: International Association for Statistical Education, 2022.' mla: 'Nieszporek, Ralf, et al. “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability.” Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters et al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t4b2.' short: 'R. Nieszporek, B. Griese, R. Biehler, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, Rosario, Argentina, 2022.' date_created: 2023-01-10T09:01:02Z date_updated: 2023-01-11T08:07:52Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.52041/iase.icots11.t4b2 editor: - first_name: S. A. full_name: Peters, S. A. last_name: Peters - first_name: L. full_name: Zapata-Cardona, L. last_name: Zapata-Cardona - first_name: F. full_name: Bonafini, F. last_name: Bonafini - first_name: A. full_name: Fan, A. last_name: Fan language: - iso: eng place: Rosario, Argentina publication: 'Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics' publication_status: published publisher: International Association for Statistical Education status: public title: Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability type: book_chapter user_id: '37888' year: '2022' ... --- _id: '34919' abstract: - lang: eng text: Fundamental ideas (Burrill & Biehler, 2011) have been specified to structure the curriculum across different age levels and to focus on and revisit the most important ideas. Such ideas must be based on an epistemological analysis of the scientific domain of statistics and its applications. Because these domains are changing, fundamental ideas have to be revisited from time to time. In particular, data science and machine learning have led to new methods and applications in society that must be considered for updating fundamental ideas. author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Biehler R. Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t1a2' apa: 'Biehler, R. (2022). Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t1a2' bibtex: '@inproceedings{Biehler_2022, title={Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications}, DOI={10.52041/iase.icots11.t1a2}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Biehler, Rolf}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }' chicago: 'Biehler, Rolf. “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications.” In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t1a2.' ieee: 'R. Biehler, “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t1a2.' mla: 'Biehler, Rolf. “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications.” Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters et al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t1a2.' short: 'R. Biehler, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, 2022.' date_created: 2022-12-23T11:09:52Z date_updated: 2023-01-11T08:45:02Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.52041/iase.icots11.t1a2 editor: - first_name: S. A. full_name: Peters, S. A. last_name: Peters - first_name: L. full_name: Zapata-Cardona, L. last_name: Zapata-Cardona - first_name: F. full_name: Bonafini, F. last_name: Bonafini - first_name: A. full_name: Fan, A. last_name: Fan language: - iso: eng publication: 'Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics' publication_status: published publisher: International Association for Statistical Education status: public title: Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications type: conference user_id: '37888' year: '2022' ... --- _id: '34920' abstract: - lang: eng text: A very warm welcome to this Special Issue of the Statistics Education Research Journal (SERJ) on data science education. Our hope is to give an overview of selected theoretical thoughts and empirical studies on data science education from a statistics education research perspective. Data science education is rapidly developing but research into data science education is still in its infancy. The current issue presents a snapshot of this developing field. article_number: '1' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Richard full_name: De Veaux, Richard last_name: De Veaux - first_name: Joachim full_name: Engel, Joachim last_name: Engel - first_name: Sibel full_name: Kazak, Sibel last_name: Kazak - first_name: Daniel full_name: Frischemeier, Daniel last_name: Frischemeier citation: ama: 'Biehler R, De Veaux R, Engel J, Kazak S, Frischemeier D. Editorial: Research on Data Science Education. Statistics Education Research Journal. 2022;21(2). doi:10.52041/serj.v21i2.606' apa: 'Biehler, R., De Veaux, R., Engel, J., Kazak, S., & Frischemeier, D. (2022). Editorial: Research on Data Science Education. Statistics Education Research Journal, 21(2), Article 1. https://doi.org/10.52041/serj.v21i2.606' bibtex: '@article{Biehler_De Veaux_Engel_Kazak_Frischemeier_2022, title={Editorial: Research on Data Science Education}, volume={21}, DOI={10.52041/serj.v21i2.606}, number={21}, journal={Statistics Education Research Journal}, publisher={International Association for Statistical Education}, author={Biehler, Rolf and De Veaux, Richard and Engel, Joachim and Kazak, Sibel and Frischemeier, Daniel}, year={2022} }' chicago: 'Biehler, Rolf, Richard De Veaux, Joachim Engel, Sibel Kazak, and Daniel Frischemeier. “Editorial: Research on Data Science Education.” Statistics Education Research Journal 21, no. 2 (2022). https://doi.org/10.52041/serj.v21i2.606.' ieee: 'R. Biehler, R. De Veaux, J. Engel, S. Kazak, and D. Frischemeier, “Editorial: Research on Data Science Education,” Statistics Education Research Journal, vol. 21, no. 2, Art. no. 1, 2022, doi: 10.52041/serj.v21i2.606.' mla: 'Biehler, Rolf, et al. “Editorial: Research on Data Science Education.” Statistics Education Research Journal, vol. 21, no. 2, 1, International Association for Statistical Education, 2022, doi:10.52041/serj.v21i2.606.' short: R. Biehler, R. De Veaux, J. Engel, S. Kazak, D. Frischemeier, Statistics Education Research Journal 21 (2022). date_created: 2022-12-23T11:20:39Z date_updated: 2023-01-11T08:46:32Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.52041/serj.v21i2.606 intvolume: ' 21' issue: '2' keyword: - Education - Statistics and Probability language: - iso: eng publication: Statistics Education Research Journal publication_identifier: issn: - 1570-1824 publication_status: published publisher: International Association for Statistical Education status: public title: 'Editorial: Research on Data Science Education' type: journal_article user_id: '37888' volume: 21 year: '2022' ... --- _id: '35926' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Birgit full_name: Griese, Birgit last_name: Griese citation: ama: 'Biehler R, Griese B. Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren. mathematik lehren. 2022;2022(232):2–6.' apa: 'Biehler, R., & Griese, B. (2022). Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren. Mathematik Lehren, 2022(232), 2–6.' bibtex: '@article{Biehler_Griese_2022, title={Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren}, volume={2022}, number={232}, journal={mathematik lehren}, publisher={Friedrich Verlag}, author={Biehler, Rolf and Griese, Birgit}, year={2022}, pages={2–6} }' chicago: 'Biehler, Rolf, and Birgit Griese. “Modellieren Im Stochastikunterricht: Annahmen Hinterfragen, Ergebnisse Validieren.” Mathematik Lehren 2022, no. 232 (2022): 2–6.' ieee: 'R. Biehler and B. Griese, “Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren,” mathematik lehren, vol. 2022, no. 232, pp. 2–6, 2022.' mla: 'Biehler, Rolf, and Birgit Griese. “Modellieren Im Stochastikunterricht: Annahmen Hinterfragen, Ergebnisse Validieren.” Mathematik Lehren, vol. 2022, no. 232, Friedrich Verlag, 2022, pp. 2–6.' short: R. Biehler, B. Griese, Mathematik Lehren 2022 (2022) 2–6. date_created: 2023-01-11T08:49:12Z date_updated: 2023-01-11T08:50:14Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' intvolume: ' 2022' issue: '232' language: - iso: eng page: 2–6 publication: mathematik lehren publisher: Friedrich Verlag status: public title: 'Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren' type: journal_article user_id: '37888' volume: 2022 year: '2022' ... --- _id: '31367' author: - first_name: Max full_name: Hoffmann, Max id: '32202' last_name: Hoffmann orcid: 0000-0002-6964-7123 - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Hoffmann M, Biehler R. Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie. In: Halverscheid S, Kersten I, Schmidt-Thieme B, eds. Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen . Springer Spektrum; 2022:351-368.' apa: Hoffmann, M., & Biehler, R. (2022). Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie. In S. Halverscheid, I. Kersten, & B. Schmidt-Thieme (Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen (pp. 351–368). Springer Spektrum. bibtex: '@inproceedings{Hoffmann_Biehler_2022, place={Wiesbaden}, title={Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.}, booktitle={ Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen }, publisher={Springer Spektrum}, author={Hoffmann, Max and Biehler, Rolf}, editor={Halverscheid, Stefan and Kersten, Ina and Schmidt-Thieme, Barbara}, year={2022}, pages={351–368} }' chicago: 'Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.” In Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited by Stefan Halverscheid, Ina Kersten, and Barbara Schmidt-Thieme, 351–68. Wiesbaden: Springer Spektrum, 2022.' ieee: M. Hoffmann and R. Biehler, “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.,” in Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , 2022, pp. 351–368. mla: Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.” Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited by Stefan Halverscheid et al., Springer Spektrum, 2022, pp. 351–68. short: 'M. Hoffmann, R. Biehler, in: S. Halverscheid, I. Kersten, B. Schmidt-Thieme (Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , Springer Spektrum, Wiesbaden, 2022, pp. 351–368.' date_created: 2022-05-22T14:16:52Z date_updated: 2023-01-11T15:28:21Z department: - _id: '97' editor: - first_name: Stefan full_name: Halverscheid, Stefan last_name: Halverscheid - first_name: Ina full_name: Kersten, Ina last_name: Kersten - first_name: Barbara full_name: Schmidt-Thieme, Barbara last_name: Schmidt-Thieme language: - iso: ger page: 351-368 place: Wiesbaden publication: ' Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen ' publication_status: published publisher: Springer Spektrum quality_controlled: '1' status: public title: Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie. type: conference user_id: '32202' year: '2022' ... --- _id: '31365' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Max full_name: Hoffmann, Max id: '32202' last_name: Hoffmann orcid: 0000-0002-6964-7123 citation: ama: 'Biehler R, Hoffmann M. Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In: Isaev V, Eichler A, Loose F, eds. Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik. Springer; 2022:49–72. doi:10.1007/978-3-662-63948-1_4' apa: Biehler, R., & Hoffmann, M. (2022). Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In V. Isaev, A. Eichler, & F. Loose (Eds.), Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik (pp. 49–72). Springer. https://doi.org/10.1007/978-3-662-63948-1_4 bibtex: '@inproceedings{Biehler_Hoffmann_2022, place={Berlin, Heidelberg}, title={Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium}, DOI={10.1007/978-3-662-63948-1_4}, booktitle={ Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik}, publisher={Springer}, author={Biehler, Rolf and Hoffmann, Max}, editor={Isaev, Viktor and Eichler, Andreas and Loose, Frank}, year={2022}, pages={49–72} }' chicago: 'Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.” In Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, edited by Viktor Isaev, Andreas Eichler, and Frank Loose, 49–72. Berlin, Heidelberg: Springer, 2022. https://doi.org/10.1007/978-3-662-63948-1_4.' ieee: 'R. Biehler and M. Hoffmann, “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium,” in Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, 2022, pp. 49–72, doi: 10.1007/978-3-662-63948-1_4.' mla: Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.” Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, edited by Viktor Isaev et al., Springer, 2022, pp. 49–72, doi:10.1007/978-3-662-63948-1_4. short: 'R. Biehler, M. Hoffmann, in: V. Isaev, A. Eichler, F. Loose (Eds.), Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, Springer, Berlin, Heidelberg, 2022, pp. 49–72.' date_created: 2022-05-22T14:03:58Z date_updated: 2023-01-11T15:29:09Z department: - _id: '97' doi: 10.1007/978-3-662-63948-1_4 editor: - first_name: Viktor full_name: Isaev, Viktor last_name: Isaev - first_name: Andreas full_name: Eichler, Andreas last_name: Eichler - first_name: Frank full_name: Loose, Frank last_name: Loose language: - iso: ger main_file_link: - url: https://link.springer.com/chapter/10.1007/978-3-662-63948-1_4 page: ' 49–72' place: Berlin, Heidelberg publication: ' Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik' publication_identifier: isbn: - '9783662639474' - '9783662639481' issn: - 2197-8751 - 2197-876X publication_status: published publisher: Springer quality_controlled: '1' status: public title: Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium type: conference user_id: '32202' year: '2022' ... --- _id: '35698' author: - first_name: Mirko full_name: Schürmann, Mirko id: '59707' last_name: Schürmann orcid: 0000-0003-2646-085X - first_name: C. full_name: Büdenbender-Kuklinski, C. last_name: Büdenbender-Kuklinski - first_name: Elisa full_name: Lankeit, Elisa last_name: Lankeit - first_name: Michael full_name: Liebendörfer, Michael id: '30933' last_name: Liebendörfer orcid: 0000-0001-9887-2074 - first_name: R. full_name: Hochmuth, R. last_name: Hochmuth - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: N. full_name: Schaper, N. last_name: Schaper citation: ama: Schürmann M, Büdenbender-Kuklinski C, Lankeit E, et al. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University; 2022. doi:10.17170/KOBRA-202205176188 apa: Schürmann, M., Büdenbender-Kuklinski, C., Lankeit, E., Liebendörfer, M., Hochmuth, R., Biehler, R., & Schaper, N. (2022). Dokumentation der Erhebungsinstrumente des Projekts WiGeMath. LibreCat University. https://doi.org/10.17170/KOBRA-202205176188 bibtex: '@book{Schürmann_Büdenbender-Kuklinski_Lankeit_Liebendörfer_Hochmuth_Biehler_Schaper_2022, title={Dokumentation der Erhebungsinstrumente des Projekts WiGeMath}, DOI={10.17170/KOBRA-202205176188}, publisher={LibreCat University}, author={Schürmann, Mirko and Büdenbender-Kuklinski, C. and Lankeit, Elisa and Liebendörfer, Michael and Hochmuth, R. and Biehler, Rolf and Schaper, N.}, year={2022} }' chicago: Schürmann, Mirko, C. Büdenbender-Kuklinski, Elisa Lankeit, Michael Liebendörfer, R. Hochmuth, Rolf Biehler, and N. Schaper. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University, 2022. https://doi.org/10.17170/KOBRA-202205176188. ieee: M. Schürmann et al., Dokumentation der Erhebungsinstrumente des Projekts WiGeMath. LibreCat University, 2022. mla: Schürmann, Mirko, et al. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University, 2022, doi:10.17170/KOBRA-202205176188. short: M. Schürmann, C. Büdenbender-Kuklinski, E. Lankeit, M. Liebendörfer, R. Hochmuth, R. Biehler, N. Schaper, Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath, LibreCat University, 2022. date_created: 2023-01-10T09:04:26Z date_updated: 2023-01-17T23:33:52Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' - _id: '423' doi: 10.17170/KOBRA-202205176188 publisher: LibreCat University status: public title: Dokumentation der Erhebungsinstrumente des Projekts WiGeMath type: research_data user_id: '14931' year: '2022' ... --- _id: '37470' abstract: - lang: eng text: 'AbstractWhen the COVID-19 pandemic began, many universities switched to fully online teaching. This unexpected switching to online teaching was challenging for both teachers and students, and restrictions that were put in place because of pandemic made this challenge even greater. However, new ways of teaching might also open new opportunities for students’ learning. The research question driving our study was as follows: how do students regulate their learning and specifically their choice of resources and peer learning in university mathematics classes that are fully taught online as offered during the COVID-19 pandemic? We report on a longitudinal, qualitative study in which students recorded a brief audio diary twice a week over one whole semester (14 weeks). We focused on three students who completed 70 interviews in total and finished the semester with varying degrees of success. The results show how the students structured their studying (e.g., the roles that deadlines or synchronous teaching events played). They illustrate the strengths and limitations of digital materials provided by the lecturer and the use of complementary media. Further, the pandemic uncovered the double-edged role of simple, often anonymous exchanges (e.g., via Discord servers), with few binding forces for either side, and the significance of stable learning partnerships for students’ success. Our research highlights aspects that should be focal points when comparing traditional instruction and online instruction during the pandemic from a self-regulatory perspective. Practical implications refer to how these aspects can be combined sensibly in fully online courses, but also in blended learning contexts.' author: - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Leander full_name: Kempen, Leander last_name: Kempen - first_name: Stanislaw full_name: Schukajlow, Stanislaw last_name: Schukajlow citation: ama: 'Liebendörfer M, Kempen L, Schukajlow S. First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study. ZDM – Mathematics Education. Published online 2022. doi:10.1007/s11858-022-01444-5' apa: 'Liebendörfer, M., Kempen, L., & Schukajlow, S. (2022). First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-022-01444-5' bibtex: '@article{Liebendörfer_Kempen_Schukajlow_2022, title={First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study}, DOI={10.1007/s11858-022-01444-5}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Liebendörfer, Michael and Kempen, Leander and Schukajlow, Stanislaw}, year={2022} }' chicago: 'Liebendörfer, Michael, Leander Kempen, and Stanislaw Schukajlow. “First-Year University Students’ Self-Regulated Learning during the COVID-19 Pandemic: A Qualitative Longitudinal Study.” ZDM – Mathematics Education, 2022. https://doi.org/10.1007/s11858-022-01444-5.' ieee: 'M. Liebendörfer, L. Kempen, and S. Schukajlow, “First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study,” ZDM – Mathematics Education, 2022, doi: 10.1007/s11858-022-01444-5.' mla: 'Liebendörfer, Michael, et al. “First-Year University Students’ Self-Regulated Learning during the COVID-19 Pandemic: A Qualitative Longitudinal Study.” ZDM – Mathematics Education, Springer Science and Business Media LLC, 2022, doi:10.1007/s11858-022-01444-5.' short: M. Liebendörfer, L. Kempen, S. Schukajlow, ZDM – Mathematics Education (2022). date_created: 2023-01-18T22:22:25Z date_updated: 2023-01-18T22:44:06Z department: - _id: '10' doi: 10.1007/s11858-022-01444-5 keyword: - General Mathematics - Education language: - iso: eng publication: ZDM – Mathematics Education publication_identifier: issn: - 1863-9690 - 1863-9704 publication_status: published publisher: Springer Science and Business Media LLC status: public title: 'First-year university students'' self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study' type: journal_article user_id: '30933' year: '2022' ... --- _id: '37472' abstract: - lang: eng text: AbstractAs earlier research results suggest that many mathematics teaching students criticize a missing relevance in their studies, we explore explanations and interrelationships of their relevance assessments. We aim at finding out how one could support the students in attributing relevance to their study programs. A two-fold model for relevance assessments in mathematics teacher education is proposed, consisting of relevance content and relevance reasons. We investigate students' relevance perceptions of mathematical topics and of topics’ complexities, as well as their rating of individual and societal/ vocational relevance reasons, all in relation to their perception of the relevance of their overall program of study. Contrary to earlier research findings, our results suggest that mathematics teaching students already do attribute relevance to many content areas and that a preparation for the teaching profession is not the only reason for them to assign relevance. There also seem to be many students who would attribute relevance if they could develop as individuals and pursue their interests. We suggest that giving students opportunities to set individual priorities in their studies could hence support their relevance assessments. As low relevance assessments seem to be connected to students’ motivational problems, students might profit from motivational support, as well. author: - first_name: Christiane full_name: Büdenbender-Kuklinski, Christiane last_name: Büdenbender-Kuklinski - first_name: Reinhard full_name: Hochmuth, Reinhard last_name: Hochmuth - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer citation: ama: Büdenbender-Kuklinski C, Hochmuth R, Liebendörfer M. Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students. International Journal of Research in Undergraduate Mathematics Education. Published online 2022. doi:10.1007/s40753-022-00188-7 apa: Büdenbender-Kuklinski, C., Hochmuth, R., & Liebendörfer, M. (2022). Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students. International Journal of Research in Undergraduate Mathematics Education. https://doi.org/10.1007/s40753-022-00188-7 bibtex: '@article{Büdenbender-Kuklinski_Hochmuth_Liebendörfer_2022, title={Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students}, DOI={10.1007/s40753-022-00188-7}, journal={International Journal of Research in Undergraduate Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Büdenbender-Kuklinski, Christiane and Hochmuth, Reinhard and Liebendörfer, Michael}, year={2022} }' chicago: Büdenbender-Kuklinski, Christiane, Reinhard Hochmuth, and Michael Liebendörfer. “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students.” International Journal of Research in Undergraduate Mathematics Education, 2022. https://doi.org/10.1007/s40753-022-00188-7. ieee: 'C. Büdenbender-Kuklinski, R. Hochmuth, and M. Liebendörfer, “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students,” International Journal of Research in Undergraduate Mathematics Education, 2022, doi: 10.1007/s40753-022-00188-7.' mla: Büdenbender-Kuklinski, Christiane, et al. “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students.” International Journal of Research in Undergraduate Mathematics Education, Springer Science and Business Media LLC, 2022, doi:10.1007/s40753-022-00188-7. short: C. Büdenbender-Kuklinski, R. Hochmuth, M. Liebendörfer, International Journal of Research in Undergraduate Mathematics Education (2022). date_created: 2023-01-18T22:22:49Z date_updated: 2023-01-18T22:43:43Z department: - _id: '10' doi: 10.1007/s40753-022-00188-7 keyword: - Education - Mathematics (miscellaneous) language: - iso: eng publication: International Journal of Research in Undergraduate Mathematics Education publication_identifier: issn: - 2198-9745 - 2198-9753 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students type: journal_article user_id: '30933' year: '2022' ... --- _id: '35577' article_number: '108' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. Calculus of Variations and Partial Differential Equations. 2022;61. apa: Winkler, M. (2022). Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. Calculus of Variations and Partial Differential Equations, 61, Article 108. bibtex: '@article{Winkler_2022, title={Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.}, volume={61}, number={108}, journal={Calculus of Variations and Partial Differential Equations}, author={Winkler, Michael}, year={2022} }' chicago: Winkler, Michael. “Stabilization of Arbitrary Structures in a Doubly Degenerate Reaction-Diffusion System Modeling Bacterial Motion on a Nutrient-Poor Agar.” Calculus of Variations and Partial Differential Equations 61 (2022). ieee: M. Winkler, “Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.,” Calculus of Variations and Partial Differential Equations, vol. 61, Art. no. 108, 2022. mla: Winkler, Michael. “Stabilization of Arbitrary Structures in a Doubly Degenerate Reaction-Diffusion System Modeling Bacterial Motion on a Nutrient-Poor Agar.” Calculus of Variations and Partial Differential Equations, vol. 61, 108, 2022. short: M. Winkler, Calculus of Variations and Partial Differential Equations 61 (2022). date_created: 2023-01-09T16:38:12Z date_updated: 2023-01-20T13:17:28Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 61' language: - iso: eng publication: Calculus of Variations and Partial Differential Equations status: public title: Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. type: journal_article user_id: '15645' volume: 61 year: '2022' ... --- _id: '35599' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: 'Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies. 2022;22:88-117.' apa: 'Winkler, M. (2022). Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies, 22, 88–117.' bibtex: '@article{Winkler_2022, title={Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.}, volume={22}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2022}, pages={88–117} }' chicago: 'Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures Involving Multiplicative Couplings.” Advanced Nonlinear Studies 22 (2022): 88–117.' ieee: 'M. Winkler, “Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.,” Advanced Nonlinear Studies, vol. 22, pp. 88–117, 2022.' mla: 'Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures Involving Multiplicative Couplings.” Advanced Nonlinear Studies, vol. 22, 2022, pp. 88–117.' short: M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117. date_created: 2023-01-09T17:15:07Z date_updated: 2023-01-20T13:17:08Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 22' language: - iso: eng page: 88-117 publication: Advanced Nonlinear Studies status: public title: 'Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.' type: journal_article user_id: '15645' volume: 22 year: '2022' ... --- _id: '35597' article_number: '103407' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: 'Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2022;63.' apa: 'Winkler, M. (2022). Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications, 63, Article 103407.' bibtex: '@article{Winkler_2022, title={Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.}, volume={63}, number={103407}, journal={Nonlinear Analysis: Real World Applications}, author={Winkler, Michael}, year={2022} }' chicago: 'Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in a Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications 63 (2022).' ieee: 'M. Winkler, “Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.,” Nonlinear Analysis: Real World Applications, vol. 63, Art. no. 103407, 2022.' mla: 'Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in a Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications, vol. 63, 103407, 2022.' short: 'M. Winkler, Nonlinear Analysis: Real World Applications 63 (2022).' date_created: 2023-01-09T17:03:24Z date_updated: 2023-01-20T13:17:16Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 63' language: - iso: eng publication: 'Nonlinear Analysis: Real World Applications' status: public title: Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. type: journal_article user_id: '15645' volume: 63 year: '2022' ... --- _id: '35598' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients. Mathematische Nachrichten. 2022;295:1840-1862. apa: Winkler, M. (2022). A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients. Mathematische Nachrichten, 295, 1840–1862. bibtex: '@article{Winkler_2022, title={A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.}, volume={295}, journal={Mathematische Nachrichten}, author={Winkler, Michael}, year={2022}, pages={1840–1862} }' chicago: 'Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type Cross-Diffusion Systems via Conditional $L^\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten 295 (2022): 1840–62.' ieee: M. Winkler, “A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.,” Mathematische Nachrichten, vol. 295, pp. 1840–1862, 2022. mla: Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type Cross-Diffusion Systems via Conditional $L^\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten, vol. 295, 2022, pp. 1840–62. short: M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862. date_created: 2023-01-09T17:10:38Z date_updated: 2023-01-20T13:17:12Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 295' language: - iso: eng page: 1840-1862 publication: Mathematische Nachrichten status: public title: A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients. type: journal_article user_id: '15645' volume: 295 year: '2022' ... --- _id: '35600' article_number: '47' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications. 2022;3. apa: Winkler, M. (2022). Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications, 3, Article 47. bibtex: '@article{Winkler_2022, title={Oscillatory decay in a degenerate parabolic equation.}, volume={3}, number={47}, journal={Partial Differential Equations and Applications}, author={Winkler, Michael}, year={2022} }' chicago: Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications 3 (2022). ieee: M. Winkler, “Oscillatory decay in a degenerate parabolic equation.,” Partial Differential Equations and Applications, vol. 3, Art. no. 47, 2022. mla: Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications, vol. 3, 47, 2022. short: M. Winkler, Partial Differential Equations and Applications 3 (2022). date_created: 2023-01-09T17:21:36Z date_updated: 2023-01-20T13:17:04Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 3' language: - iso: eng publication: Partial Differential Equations and Applications status: public title: Oscillatory decay in a degenerate parabolic equation. type: journal_article user_id: '15645' volume: 3 year: '2022' ... --- _id: '35582' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal. 2022;7:1437-1465. apa: Winkler, M. (2022). A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal, 7, 1437–1465. bibtex: '@article{Winkler_2022, title={A critical blow-up exponent for flux limitation in a Keller-Segel system}, volume={7}, journal={Indiana University Mathematics Journal}, author={Winkler, Michael}, year={2022}, pages={1437–1465} }' chicago: 'Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel System.” Indiana University Mathematics Journal 7 (2022): 1437–65.' ieee: M. Winkler, “A critical blow-up exponent for flux limitation in a Keller-Segel system,” Indiana University Mathematics Journal, vol. 7, pp. 1437–1465, 2022. mla: Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel System.” Indiana University Mathematics Journal, vol. 7, 2022, pp. 1437–65. short: M. Winkler, Indiana University Mathematics Journal 7 (2022) 1437–1465. date_created: 2023-01-09T16:49:13Z date_updated: 2023-01-20T13:17:20Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 7' language: - iso: eng page: 1437-1465 publication: Indiana University Mathematics Journal status: public title: A critical blow-up exponent for flux limitation in a Keller-Segel system type: journal_article user_id: '15645' volume: 7 year: '2022' ... --- _id: '35590' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2022;309:74-97. apa: Winkler, M. (2022). Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations, 309, 74–97. bibtex: '@article{Winkler_2022, title={Unlimited growth in logarithmic Keller-Segel systems}, volume={309}, journal={Journal of Differential Equations}, author={Winkler, Michael}, year={2022}, pages={74–97} }' chicago: 'Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations 309 (2022): 74–97.' ieee: M. Winkler, “Unlimited growth in logarithmic Keller-Segel systems,” Journal of Differential Equations, vol. 309, pp. 74–97, 2022. mla: Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations, vol. 309, 2022, pp. 74–97. short: M. Winkler, Journal of Differential Equations 309 (2022) 74–97. date_created: 2023-01-09T16:51:32Z date_updated: 2023-01-20T13:17:24Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 309' language: - iso: eng page: 74-97 publication: Journal of Differential Equations status: public title: Unlimited growth in logarithmic Keller-Segel systems type: journal_article user_id: '15645' volume: 309 year: '2022' ... --- _id: '35528' author: - first_name: Johannes full_name: Lankeit, Johannes last_name: Lankeit - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749. apa: Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity, 35, 719–749. bibtex: '@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }' chicago: 'Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity 35 (2022): 719–49.' ieee: J. Lankeit and M. Winkler, “Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary,” Nonlinearity, vol. 35, pp. 719–749, 2022. mla: Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity, vol. 35, 2022, pp. 719–49. short: J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749. date_created: 2023-01-09T15:33:38Z date_updated: 2023-01-20T13:18:15Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 35' language: - iso: eng page: 719-749 publication: Nonlinearity status: public title: Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary type: journal_article user_id: '15645' volume: 35 year: '2022' ... --- _id: '35568' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489. apa: Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics, 389, 439–489. bibtex: '@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }' chicago: 'Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.' ieee: M. Winkler, “Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.,” Communications in Mathematical Physics, vol. 389, pp. 439–489, 2022. mla: Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp. 439–89. short: M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489. date_created: 2023-01-09T16:32:21Z date_updated: 2023-01-20T13:17:37Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 389' language: - iso: eng page: 439-489 publication: Communications in Mathematical Physics status: public title: Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. type: journal_article user_id: '15645' volume: 389 year: '2022' ... --- _id: '35574' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181. apa: Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society, 124, 133–181. bibtex: '@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.}, volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler, Michael}, year={2022}, pages={133–181} }' chicago: 'Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society 124 (2022): 133–81.' ieee: M. Winkler, “A family of mass-critical Keller-Segel systems.,” Proceedings of the London Mathematical Society, vol. 124, pp. 133–181, 2022. mla: Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society, vol. 124, 2022, pp. 133–81. short: M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181. date_created: 2023-01-09T16:35:09Z date_updated: 2023-01-20T13:17:33Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 124' language: - iso: eng page: 133-181 publication: Proceedings of the London Mathematical Society status: public title: A family of mass-critical Keller-Segel systems. type: journal_article user_id: '15645' volume: 124 year: '2022' ... --- _id: '34676' abstract: - lang: eng text: An initial-boundary value problem for a coupled chemotaxis-Navier–Stokes model with porous medium type diffusion is considered. Previous related literature has provided profound knowledge in cases when the system is augmented with no-flux/no-flux/no-slip boundary conditions for the density of cells, the chemical concentration and the fluid velocity field, respectively; in particular, available qualitative results strongly indicate that only trivial solution behavior can be expected on large time scales. In line with refined modeling approaches to oxygen evolution near fluid-air interfaces, this study now focuses on situations involving a fixed chemoattractant concentration on the boundary. Despite an apparent loss of mathematically favorable energy structures thereby induced, by means of an alternative variational approach a basic theory of global existence is developed in a natural framework of weak solvability. Beyond this, some additional qualitative information on the large time behavior of these solutions is derived by identifying a certain global relaxation property. Specifically, a second result asserts, within a suitable topological setting, the existence of a bounded set which eventually absorbs each individual of the obtained trajectories, and the diameter of which is bounded only by the physically relevant quantities of total population size and prescribed boundary concentration of the chemical signal. author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Black T, Winkler M. Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences. 2022;32(01):137-173. doi:10.1142/s021820252250004x apa: Black, T., & Winkler, M. (2022). Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences, 32(01), 137–173. https://doi.org/10.1142/s021820252250004x bibtex: '@article{Black_Winkler_2022, title={Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}, volume={32}, DOI={10.1142/s021820252250004x}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2022}, pages={137–173} }' chicago: 'Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the Boundary.” Mathematical Models and Methods in Applied Sciences 32, no. 01 (2022): 137–73. https://doi.org/10.1142/s021820252250004x.' ieee: 'T. Black and M. Winkler, “Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary,” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 01, pp. 137–173, 2022, doi: 10.1142/s021820252250004x.' mla: Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the Boundary.” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 01, World Scientific Pub Co Pte Ltd, 2022, pp. 137–73, doi:10.1142/s021820252250004x. short: T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173. date_created: 2022-12-21T09:50:03Z date_updated: 2023-01-20T13:18:30Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1142/s021820252250004x intvolume: ' 32' issue: '01' keyword: - Applied Mathematics - Modeling and Simulation language: - iso: eng page: 137-173 publication: Mathematical Models and Methods in Applied Sciences publication_identifier: issn: - 0218-2025 - 1793-6314 publication_status: published publisher: World Scientific Pub Co Pte Ltd status: public title: Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary type: journal_article user_id: '23686' volume: 32 year: '2022' ... --- _id: '39062' author: - first_name: Michael full_name: Liebendörfer, Michael id: '30933' last_name: Liebendörfer orcid: 0000-0001-9887-2074 - first_name: Angelo full_name: Profeta, Angelo last_name: Profeta - first_name: Sandra full_name: Krämer, Sandra last_name: Krämer - first_name: Sarah full_name: Schlüter, Sarah last_name: Schlüter - first_name: Silvia full_name: Becher, Silvia last_name: Becher - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Tobias full_name: Mai, Tobias last_name: Mai - first_name: Angela full_name: Schmitz, Angela last_name: Schmitz citation: ama: 'Liebendörfer M, Profeta A, Krämer S, et al. Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation. In: ; 2022.' apa: 'Liebendörfer, M., Profeta, A., Krämer, S., Schlüter, S., Becher, S., Biehler, R., Mai, T., & Schmitz, A. (2022). Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy.' bibtex: '@inproceedings{Liebendörfer_Profeta_Krämer_Schlüter_Becher_Biehler_Mai_Schmitz_2022, title={Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation}, author={Liebendörfer, Michael and Profeta, Angelo and Krämer, Sandra and Schlüter, Sarah and Becher, Silvia and Biehler, Rolf and Mai, Tobias and Schmitz, Angela}, year={2022} }' chicago: 'Liebendörfer, Michael, Angelo Profeta, Sandra Krämer, Sarah Schlüter, Silvia Becher, Rolf Biehler, Tobias Mai, and Angela Schmitz. “Enriching Videos with Interactive Questions to Enhance Students’ Cognitive Activity: Concept and Implementation,” 2022.' ieee: 'M. Liebendörfer et al., “Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.' mla: 'Liebendörfer, Michael, et al. Enriching Videos with Interactive Questions to Enhance Students’ Cognitive Activity: Concept and Implementation. 2022.' short: 'M. Liebendörfer, A. Profeta, S. Krämer, S. Schlüter, S. Becher, R. Biehler, T. Mai, A. Schmitz, in: 2022.' conference: end_date: 2022-02-06 location: Bozen-Bolzano, Italy name: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) start_date: 2022-02-02 date_created: 2023-01-24T08:53:20Z date_updated: 2023-01-24T08:57:15Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' language: - iso: eng related_material: link: - relation: confirmation url: https://hal.science/hal-03749054 status: public title: 'Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation' type: conference user_id: '37888' year: '2022' ... --- _id: '39058' author: - first_name: Birgit full_name: Griese, Birgit last_name: Griese - first_name: Ralf full_name: Nieszporek, Ralf id: '59608' last_name: Nieszporek - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Griese B, Nieszporek R, Biehler R. Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability. In: ; 2022.' apa: Griese, B., Nieszporek, R., & Biehler, R. (2022). Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy. bibtex: '@inproceedings{Griese_Nieszporek_Biehler_2022, title={Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability}, author={Griese, Birgit and Nieszporek, Ralf and Biehler, Rolf}, year={2022} }' chicago: Griese, Birgit, Ralf Nieszporek, and Rolf Biehler. “Facilitators’ Views on Content Goals, Learning Obstacles, and Teaching Resources in Reference to Conditional Probability,” 2022. ieee: B. Griese, R. Nieszporek, and R. Biehler, “Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022. mla: Griese, Birgit, et al. Facilitators’ Views on Content Goals, Learning Obstacles, and Teaching Resources in Reference to Conditional Probability. 2022. short: 'B. Griese, R. Nieszporek, R. Biehler, in: 2022.' conference: end_date: 2022-02-06 location: Bozen-Bolzano, Italy name: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) start_date: 2022-02-02 date_created: 2023-01-24T08:49:24Z date_updated: 2023-01-24T08:57:18Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' language: - iso: eng related_material: link: - relation: confirmation url: https://hal.science/hal-03746264 status: public title: Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability type: conference user_id: '37888' year: '2022' ... --- _id: '39064' author: - first_name: Susanne full_name: Podworny, Susanne last_name: Podworny - first_name: Yannik full_name: Fleischer, Yannik last_name: Fleischer - first_name: Dietlinde full_name: Stroop, Dietlinde last_name: Stroop - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Podworny S, Fleischer Y, Stroop D, Biehler R. An example of rich, real and multivariate survey data for use in school. In: ; 2022.' apa: Podworny, S., Fleischer, Y., Stroop, D., & Biehler, R. (2022). An example of rich, real and multivariate survey data for use in school. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy. bibtex: '@inproceedings{Podworny_Fleischer_Stroop_Biehler_2022, title={An example of rich, real and multivariate survey data for use in school}, author={Podworny, Susanne and Fleischer, Yannik and Stroop, Dietlinde and Biehler, Rolf}, year={2022} }' chicago: Podworny, Susanne, Yannik Fleischer, Dietlinde Stroop, and Rolf Biehler. “An Example of Rich, Real and Multivariate Survey Data for Use in School,” 2022. ieee: S. Podworny, Y. Fleischer, D. Stroop, and R. Biehler, “An example of rich, real and multivariate survey data for use in school,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022. mla: Podworny, Susanne, et al. An Example of Rich, Real and Multivariate Survey Data for Use in School. 2022. short: 'S. Podworny, Y. Fleischer, D. Stroop, R. Biehler, in: 2022.' conference: end_date: 2022-02-06 location: Bozen-Bolzano, Italy name: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) start_date: 2022-02-02 date_created: 2023-01-24T08:55:09Z date_updated: 2023-01-24T08:57:12Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' language: - iso: eng related_material: link: - relation: confirmation url: https://hal.archives-ouvertes.fr/hal-03751842 status: public title: An example of rich, real and multivariate survey data for use in school type: conference user_id: '37888' year: '2022' ... --- _id: '35483' author: - first_name: Kyungkeun full_name: ' Kang, Kyungkeun' last_name: ' Kang' - first_name: Jihoon full_name: Lee, Jihoon last_name: Lee - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222. apa: Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems, 42, 5201–5222. bibtex: '@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems}, author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222} }' chicago: 'Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems 42 (2022): 5201–22.' ieee: K. Kang, J. Lee, and M. Winkler, “Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.,” Discrete and Continuous Dynamical Systems, vol. 42, pp. 5201–5222, 2022. mla: Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22. short: K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222. date_created: 2023-01-09T13:02:46Z date_updated: 2023-01-21T09:30:47Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 42' language: - iso: eng page: 5201-5222 publication: Discrete and Continuous Dynamical Systems status: public title: Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. type: journal_article user_id: '15645' volume: 42 year: '2022' ... --- _id: '38039' abstract: - lang: eng text: We consider the generators $L_k$ of Heckman-Opdam diffusion processes in the compact and non-compact case in $N$ dimensions for root systems of type $A$ and $B$, with a multiplicity function of the form $k=κk_0$ with some fixed value $k_0$ and a varying constant $κ\in\,[0,\infty[$. Using elementary symmetric functions, we present polynomials which are simultaneous eigenfunctions of the $L_k$ for all $κ\in\,]0,\infty[$. This leads to martingales associated with the Heckman-Opdam diffusions $ (X_{t,1},\ldots,X_{t,N})_{t\ge0}$. As our results extend to the freezing case $κ=\infty$ with a deterministic limit after some renormalization, we find formulas for the expectations $\mathbb E(\prod_{j=1}^N(y-X_{t,j})),$ $y\in\mathbb C$. author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Michael full_name: Voit, Michael last_name: Voit citation: ama: Rösler M, Voit M. Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics. 2022;(780):243-262. doi:10.48550/ARXIV.2108.03228 apa: Rösler, M., & Voit, M. (2022). Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics, 780, 243–262. https://doi.org/10.48550/ARXIV.2108.03228 bibtex: '@article{Rösler_Voit_2022, title={Elementary symmetric polynomials and martingales for Heckman-Opdam processes}, DOI={10.48550/ARXIV.2108.03228}, number={780}, journal={Contemporary Mathematics}, author={Rösler, Margit and Voit, Michael}, year={2022}, pages={243–262} }' chicago: 'Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780 (2022): 243–62. https://doi.org/10.48550/ARXIV.2108.03228.' ieee: 'M. Rösler and M. Voit, “Elementary symmetric polynomials and martingales for Heckman-Opdam processes,” Contemporary Mathematics, no. 780, pp. 243–262, 2022, doi: 10.48550/ARXIV.2108.03228.' mla: Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780, 2022, pp. 243–62, doi:10.48550/ARXIV.2108.03228. short: M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262. conference: name: Hypergeometry, integrability and Lie theory date_created: 2023-01-23T08:31:27Z date_updated: 2023-01-24T22:16:21Z department: - _id: '555' doi: 10.48550/ARXIV.2108.03228 issue: '780' language: - iso: eng page: 243-262 publication: Contemporary Mathematics publication_status: published status: public title: Elementary symmetric polynomials and martingales for Heckman-Opdam processes type: journal_article user_id: '37390' year: '2022' ... --- _id: '40312' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: M. full_name: Nührenbörger, M. last_name: Nührenbörger citation: ama: 'Häsel-Weide U, Nührenbörger M. Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education. In: Hodgen J, Geraniou E, Bolondi G, Ferretti F, Free University of Bozen-Bolzano and ERME, eds. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022:1-8.' apa: Häsel-Weide, U., & Nührenbörger, M. (2022). Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education. In J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, & Free University of Bozen-Bolzano and ERME (Eds.), Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) (pp. 1–8). bibtex: '@inproceedings{Häsel-Weide_Nührenbörger_2022, title={Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education}, booktitle={Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F. and Free University of Bozen-Bolzano and ERME}, year={2022}, pages={1–8} }' chicago: Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary School. Twelfth Congress of the European Society for Research in Mathematics Education.” In Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, and Free University of Bozen-Bolzano and ERME, 1–8, 2022. ieee: U. Häsel-Weide and M. Nührenbörger, “Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education,” in Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022, pp. 1–8. mla: Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary School. Twelfth Congress of the European Society for Research in Mathematics Education.” Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen et al., 2022, pp. 1–8. short: 'U. Häsel-Weide, M. Nührenbörger, in: J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, Free University of Bozen-Bolzano and ERME (Eds.), Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022, pp. 1–8.' corporate_editor: - Free University of Bozen-Bolzano and ERME date_created: 2023-01-26T11:06:50Z date_updated: 2023-01-26T11:09:02Z department: - _id: '543' - _id: '98' editor: - first_name: J. full_name: Hodgen, J. last_name: Hodgen - first_name: E. full_name: Geraniou, E. last_name: Geraniou - first_name: G. full_name: Bolondi, G. last_name: Bolondi - first_name: F. full_name: Ferretti, F. last_name: Ferretti language: - iso: eng main_file_link: - url: ⟨hal-03745438⟩ page: 1-8 publication: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) status: public title: Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education type: conference user_id: '44184' year: '2022' ... --- _id: '35674' abstract: - lang: eng text: We report on our work with students in our data science courses, focusing on the analysis of students’ results. This study represents an in-depth analysis of students’ creation and documentation of machine learning models. The students were supported by educationally designed Jupyter Notebooks, which are used as worked examples. Using the worked example, students document their results in a so-called computational essay. We examine which aspects of creating computational essays are difficult for students to find out how worked examples should be designed to support students without being too prescriptive. We analyze the computational essays produced by students and draw consequences for redesigning our worked example. author: - first_name: Yannik full_name: Fleischer, Yannik last_name: Fleischer - first_name: Sven full_name: Hüsing, Sven id: '58465' last_name: Hüsing - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Susanne full_name: Podworny, Susanne last_name: Podworny - first_name: Carsten full_name: Schulte, Carsten id: '60311' last_name: Schulte citation: ama: 'Fleischer Y, Hüsing S, Biehler R, Podworny S, Schulte C. Jupyter Notebooks for Teaching, Learning, and Doing Data Science. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t10e3' apa: 'Fleischer, Y., Hüsing, S., Biehler, R., Podworny, S., & Schulte, C. (2022). Jupyter Notebooks for Teaching, Learning, and Doing Data Science. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t10e3' bibtex: '@inproceedings{Fleischer_Hüsing_Biehler_Podworny_Schulte_2022, title={Jupyter Notebooks for Teaching, Learning, and Doing Data Science}, DOI={10.52041/iase.icots11.t10e3}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Fleischer, Yannik and Hüsing, Sven and Biehler, Rolf and Podworny, Susanne and Schulte, Carsten}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }' chicago: 'Fleischer, Yannik, Sven Hüsing, Rolf Biehler, Susanne Podworny, and Carsten Schulte. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t10e3.' ieee: 'Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, and C. Schulte, “Jupyter Notebooks for Teaching, Learning, and Doing Data Science,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t10e3.' mla: 'Fleischer, Yannik, et al. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters et al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t10e3.' short: 'Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, C. Schulte, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, 2022.' date_created: 2023-01-10T08:50:47Z date_updated: 2023-01-30T12:09:59Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' - _id: '67' doi: 10.52041/iase.icots11.t10e3 editor: - first_name: S. A. full_name: Peters, S. A. last_name: Peters - first_name: L. full_name: Zapata-Cardona, L. last_name: Zapata-Cardona - first_name: F. full_name: Bonafini, F. last_name: Bonafini - first_name: A. full_name: Fan, A. last_name: Fan language: - iso: eng publication: 'Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics' publication_status: published publisher: International Association for Statistical Education status: public title: Jupyter Notebooks for Teaching, Learning, and Doing Data Science type: conference user_id: '58465' year: '2022' ... --- _id: '35672' abstract: - lang: eng text: This study examines modelling with machine learning. In the context of a yearlong data science course, the study explores how upper secondary students apply machine learning with Jupyter Notebooks and document the modelling process as a computational essay incorporating the different steps of the CRISP-DM cycle. The students’ work is based on a teaching module about decision trees in machine learning and a worked example of such a modelling process. The study outlines the students’ performance in carrying out the machine learning technically and reasoning about bias in the data, different data preparation steps, the application context, and the resulting decision model. Furthermore, the context of the study and the theoretical backgrounds are presented. article_number: '7' author: - first_name: Yannik full_name: Fleischer, Yannik last_name: Fleischer - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Carsten full_name: Schulte, Carsten id: '60311' last_name: Schulte citation: ama: Fleischer Y, Biehler R, Schulte C. Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks. Statistics Education Research Journal. 2022;21(2). doi:10.52041/serj.v21i2.61 apa: Fleischer, Y., Biehler, R., & Schulte, C. (2022). Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks. Statistics Education Research Journal, 21(2), Article 7. https://doi.org/10.52041/serj.v21i2.61 bibtex: '@article{Fleischer_Biehler_Schulte_2022, title={Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks}, volume={21}, DOI={10.52041/serj.v21i2.61}, number={27}, journal={Statistics Education Research Journal}, publisher={International Association for Statistical Education}, author={Fleischer, Yannik and Biehler, Rolf and Schulte, Carsten}, year={2022} }' chicago: Fleischer, Yannik, Rolf Biehler, and Carsten Schulte. “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks.” Statistics Education Research Journal 21, no. 2 (2022). https://doi.org/10.52041/serj.v21i2.61. ieee: 'Y. Fleischer, R. Biehler, and C. Schulte, “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks,” Statistics Education Research Journal, vol. 21, no. 2, Art. no. 7, 2022, doi: 10.52041/serj.v21i2.61.' mla: Fleischer, Yannik, et al. “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks.” Statistics Education Research Journal, vol. 21, no. 2, 7, International Association for Statistical Education, 2022, doi:10.52041/serj.v21i2.61. short: Y. Fleischer, R. Biehler, C. Schulte, Statistics Education Research Journal 21 (2022). date_created: 2023-01-10T08:48:23Z date_updated: 2023-01-30T12:52:57Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' - _id: '67' doi: 10.52041/serj.v21i2.61 intvolume: ' 21' issue: '2' keyword: - Education - Statistics and Probability language: - iso: eng publication: Statistics Education Research Journal publication_identifier: issn: - 1570-1824 publication_status: published publisher: International Association for Statistical Education status: public title: Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks type: journal_article user_id: '60311' volume: 21 year: '2022' ... --- _id: '35479' author: - first_name: Nicolas full_name: Bellomo, Nicolas last_name: Bellomo - first_name: Nisrine full_name: Outada, Nisrine last_name: Outada - first_name: Juan full_name: Soler, Juan last_name: Soler - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: 'Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences. 2022;32:713-792.' apa: 'Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences, 32, 713–792.' bibtex: '@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.}, volume={32}, journal={Mathematical Models & Methods in Applied Sciences}, author={Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan and Winkler, Michael}, year={2022}, pages={713–792} }' chicago: 'Bellomo, Nicolas, Nisrine Outada, Juan Soler, Youshan Tao, and Michael Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences 32 (2022): 713–92.' ieee: 'N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.,” Mathematical Models & Methods in Applied Sciences, vol. 32, pp. 713–792, 2022.' mla: 'Bellomo, Nicolas, et al. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences, vol. 32, 2022, pp. 713–92.' short: N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models & Methods in Applied Sciences 32 (2022) 713–792. date_created: 2023-01-09T12:42:07Z date_updated: 2023-02-01T10:05:54Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 32' language: - iso: eng page: 713-792 publication: Mathematical Models & Methods in Applied Sciences status: public title: 'Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.' type: journal_article user_id: '15645' volume: 32 year: '2022' ...