[{"citation":{"bibtex":"@article{Stamer_Titz Mite_2025, title={On Chamber-regular C̃₂-Lattices}, author={Stamer, Franziska and Titz Mite, Thomas }, year={2025} }","ama":"Stamer F, Titz Mite T. On Chamber-regular C̃₂-Lattices. Published online 2025.","mla":"Stamer, Franziska, and Thomas Titz Mite. <i>On Chamber-Regular C̃₂-Lattices</i>. 2025.","chicago":"Stamer, Franziska, and Thomas  Titz Mite. “On Chamber-Regular C̃₂-Lattices,” 2025.","short":"F. Stamer, T. Titz Mite, (2025).","ieee":"F. Stamer and T. Titz Mite, “On Chamber-regular C̃₂-Lattices.” 2025.","apa":"Stamer, F., &#38; Titz Mite, T. (2025). <i>On Chamber-regular C̃₂-Lattices</i>."},"abstract":[{"text":"We construct the first examples of chamber-regular lattices on C̃₂-buildings. Assuming a conjecture of Kantor our list of examples becomes a classification for chamber-regular C̃₂-lattices on locally-finite C̃₂-buildings. The links of special vertices in the buildings we construct, are all isomorphic to (the incidence graph of) the unique generalized quadrangle Q of order (3,5). In particular our constructions involve chamber-regular actions on Q. These actions on Q are the first (and if Kantor's conjecture holds the only) chamber-regular actions on a finite generalized quadrangle and therefore interesting in their own right. Moreover Q is not Moufang and therefore none of our examples is a Bruhat-Tits building and all our lattices are exotic building lattices.","lang":"eng"}],"date_created":"2025-11-19T15:09:51Z","external_id":{"arxiv":["2511.08312"]},"department":[{"_id":"10"}],"type":"preprint","author":[{"last_name":"Stamer","first_name":"Franziska","full_name":"Stamer, Franziska","id":"121813"},{"first_name":"Thomas ","last_name":"Titz Mite","full_name":"Titz Mite, Thomas "}],"status":"public","title":"On Chamber-regular C̃₂-Lattices","year":"2025","date_updated":"2026-06-30T10:45:29Z","language":[{"iso":"eng"}],"_id":"62262","page":"29","user_id":"121813"},{"date_updated":"2026-07-06T08:42:10Z","author":[{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274"},{"last_name":"Kawakami","first_name":"Takashi","full_name":"Kawakami, Takashi"},{"last_name":"Lampen","first_name":"Erna","full_name":"Lampen, Erna"},{"full_name":"Weiland, Travis","first_name":"Travis","last_name":"Weiland"},{"full_name":"Zapata-Cardona, Lucía","first_name":"Lucía","last_name":"Zapata-Cardona"}],"year":"2025","title":"Statistics and data science education as a vehicle for empowering citizens–short summary of a survey","status":"public","doi":"10.17619/UNIPB/1-2633","user_id":"37888","_id":"66278","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.17619/UNIPB/1-2633","open_access":"1"}],"page":"49–52","citation":{"apa":"Biehler, R., Kawakami, T., Lampen, E., Weiland, T., &#38; Zapata-Cardona, L. (2025). Statistics and data science education as a vehicle for empowering citizens–short summary of a survey. <i>European Mathematical Society Magazine</i>, <i>136</i>, 49–52. <a href=\"https://doi.org/10.17619/UNIPB/1-2633\">https://doi.org/10.17619/UNIPB/1-2633</a>","ieee":"R. Biehler, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona, “Statistics and data science education as a vehicle for empowering citizens–short summary of a survey,” <i>European Mathematical Society Magazine</i>, no. 136, pp. 49–52, 2025, doi: <a href=\"https://doi.org/10.17619/UNIPB/1-2633\">10.17619/UNIPB/1-2633</a>.","chicago":"Biehler, Rolf, Takashi Kawakami, Erna Lampen, Travis Weiland, and Lucía Zapata-Cardona. “Statistics and Data Science Education as a Vehicle for Empowering Citizens–Short Summary of a Survey.” <i>European Mathematical Society Magazine</i>, no. 136 (2025): 49–52. <a href=\"https://doi.org/10.17619/UNIPB/1-2633\">https://doi.org/10.17619/UNIPB/1-2633</a>.","short":"R. Biehler, T. Kawakami, E. Lampen, T. Weiland, L. Zapata-Cardona, European Mathematical Society Magazine (2025) 49–52.","mla":"Biehler, Rolf, et al. “Statistics and Data Science Education as a Vehicle for Empowering Citizens–Short Summary of a Survey.” <i>European Mathematical Society Magazine</i>, no. 136, 2025, pp. 49–52, doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2633\">10.17619/UNIPB/1-2633</a>.","ama":"Biehler R, Kawakami T, Lampen E, Weiland T, Zapata-Cardona L. Statistics and data science education as a vehicle for empowering citizens–short summary of a survey. <i>European Mathematical Society Magazine</i>. 2025;(136):49–52. doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2633\">10.17619/UNIPB/1-2633</a>","bibtex":"@article{Biehler_Kawakami_Lampen_Weiland_Zapata-Cardona_2025, title={Statistics and data science education as a vehicle for empowering citizens–short summary of a survey}, DOI={<a href=\"https://doi.org/10.17619/UNIPB/1-2633\">10.17619/UNIPB/1-2633</a>}, number={136}, journal={European Mathematical Society Magazine}, author={Biehler, Rolf and Kawakami, Takashi and Lampen, Erna and Weiland, Travis and Zapata-Cardona, Lucía}, year={2025}, pages={49–52} }"},"issue":"136","publication":"European Mathematical Society Magazine","oa":"1","department":[{"_id":"363"}],"type":"journal_article","date_created":"2026-07-06T08:40:10Z"},{"author":[{"full_name":"Gebken, Bennet","first_name":"Bennet","last_name":"Gebken","id":"32643"}],"publication_identifier":{"issn":["0926-6003","1573-2894"]},"year":"2024","title":"A note on the convergence of deterministic gradient sampling in nonsmooth optimization","status":"public","publication_status":"published","date_updated":"2024-02-08T08:05:54Z","_id":"51208","publisher":"Springer Science and Business Media LLC","language":[{"iso":"eng"}],"user_id":"32643","doi":"10.1007/s10589-024-00552-0","citation":{"ama":"Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth optimization. <i>Computational Optimization and Applications</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>","bibtex":"@article{Gebken_2024, title={A note on the convergence of deterministic gradient sampling in nonsmooth optimization}, DOI={<a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>}, journal={Computational Optimization and Applications}, publisher={Springer Science and Business Media LLC}, author={Gebken, Bennet}, year={2024} }","mla":"Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” <i>Computational Optimization and Applications</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>.","short":"B. Gebken, Computational Optimization and Applications (2024).","chicago":"Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” <i>Computational Optimization and Applications</i>, 2024. <a href=\"https://doi.org/10.1007/s10589-024-00552-0\">https://doi.org/10.1007/s10589-024-00552-0</a>.","apa":"Gebken, B. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. <i>Computational Optimization and Applications</i>. <a href=\"https://doi.org/10.1007/s10589-024-00552-0\">https://doi.org/10.1007/s10589-024-00552-0</a>","ieee":"B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,” <i>Computational Optimization and Applications</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>."},"publication":"Computational Optimization and Applications","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Approximation of subdifferentials is one of the main tasks when computing descent directions for nonsmooth optimization problems. In this article, we propose a bisection method for weakly lower semismooth functions which is able to compute new subgradients that improve a given approximation in case a direction with insufficient descent was computed. Combined with a recently proposed deterministic gradient sampling approach, this yields a deterministic and provably convergent way to approximate subdifferentials for computing descent directions.</jats:p>"}],"date_created":"2024-02-07T07:23:23Z","department":[{"_id":"101"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization"]},{"abstract":[{"lang":"eng","text":"We derive efficient algorithms to compute weakly Pareto optimal solutions for smooth, convex and unconstrained multiobjective optimization problems in general Hilbert spaces. To this end, we define a novel inertial gradient-like dynamical system in the multiobjective setting, which trajectories converge weakly to Pareto optimal solutions. Discretization of this system yields an inertial multiobjective algorithm which generates sequences that converge weakly to Pareto optimal solutions. We employ Nesterov acceleration to define an algorithm with an improved convergence rate compared to the plain multiobjective steepest descent method (Algorithm 1). A further improvement in terms of efficiency is achieved by avoiding the solution of a quadratic subproblem to compute a common step direction for all objective functions, which is usually required in first-order methods. Using a different discretization of our inertial gradient-like dynamical system, we obtain an accelerated multiobjective gradient method that does not require the solution of a subproblem in each step (Algorithm 2). While this algorithm does not converge in general, it yields good results on test problems while being faster than standard steepest descent."}],"citation":{"chicago":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” <i>Journal of Optimization Theory and Applications</i>, 2024. <a href=\"https://doi.org/10.1007/s10957-024-02389-3\">https://doi.org/10.1007/s10957-024-02389-3</a>.","short":"K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).","apa":"Sonntag, K., &#38; Peitz, S. (2024). Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. <i>Journal of Optimization Theory and Applications</i>. <a href=\"https://doi.org/10.1007/s10957-024-02389-3\">https://doi.org/10.1007/s10957-024-02389-3</a>","ieee":"K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems,” <i>Journal of Optimization Theory and Applications</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>.","ama":"Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. <i>Journal of Optimization Theory and Applications</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>","bibtex":"@article{Sonntag_Peitz_2024, title={Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems}, DOI={<a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>}, journal={Journal of Optimization Theory and Applications}, publisher={Springer}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024} }","mla":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” <i>Journal of Optimization Theory and Applications</i>, Springer, 2024, doi:<a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>."},"publication":"Journal of Optimization Theory and Applications","department":[{"_id":"101"},{"_id":"655"}],"oa":"1","type":"journal_article","date_created":"2023-07-12T06:35:58Z","publication_status":"published","date_updated":"2024-02-21T10:13:33Z","author":[{"orcid":"https://orcid.org/0000-0003-3384-3496","last_name":"Sonntag","first_name":"Konstantin","full_name":"Sonntag, Konstantin","id":"56399"},{"id":"47427","full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","last_name":"Peitz","first_name":"Sebastian"}],"title":"Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems","year":"2024","status":"public","user_id":"56399","doi":"10.1007/s10957-024-02389-3","language":[{"iso":"eng"}],"_id":"46019","publisher":"Springer","main_file_link":[{"url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02389-3.pdf","open_access":"1"}]},{"external_id":{"arxiv":["\t2402.06376"]},"date_created":"2024-02-13T09:35:26Z","type":"preprint","oa":"1","department":[{"_id":"101"},{"_id":"655"}],"publication":"arXiv:2402.06376","citation":{"bibtex":"@article{Sonntag_Gebken_Müller_Peitz_Volkwein_2024, title={A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces}, journal={arXiv:2402.06376}, author={Sonntag, Konstantin and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Volkwein, Stefan}, year={2024} }","ama":"Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. <i>arXiv:240206376</i>. Published online 2024.","mla":"Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” <i>ArXiv:2402.06376</i>, 2024.","chicago":"Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” <i>ArXiv:2402.06376</i>, 2024.","short":"K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376 (2024).","ieee":"K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” <i>arXiv:2402.06376</i>. 2024.","apa":"Sonntag, K., Gebken, B., Müller, G., Peitz, S., &#38; Volkwein, S. (2024). A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. In <i>arXiv:2402.06376</i>."},"abstract":[{"text":"The efficient optimization method for locally Lipschitz continuous multiobjective optimization problems from [1] is extended from finite-dimensional problems to general Hilbert spaces. The method iteratively computes Pareto critical points, where in each iteration, an approximation of the subdifferential is computed in an efficient manner and then used to compute a common descent direction for all objective functions. To prove convergence, we present some new optimality results for nonsmooth multiobjective optimization problems in Hilbert spaces. Using these, we can show that every accumulation point of the sequence generated by our algorithm is Pareto critical under common assumptions. Computational efficiency for finding Pareto critical points is numerically demonstrated for multiobjective optimal control of an obstacle problem.","lang":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/2402.06376","open_access":"1"}],"_id":"51334","language":[{"iso":"eng"}],"user_id":"56399","title":"A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces","status":"public","year":"2024","author":[{"id":"56399","orcid":"https://orcid.org/0000-0003-3384-3496","last_name":"Sonntag","first_name":"Konstantin","full_name":"Sonntag, Konstantin"},{"full_name":"Gebken, Bennet","first_name":"Bennet","last_name":"Gebken","id":"32643"},{"last_name":"Müller","first_name":"Georg","full_name":"Müller, Georg"},{"full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","last_name":"Peitz","first_name":"Sebastian","id":"47427"},{"full_name":"Volkwein, Stefan","first_name":"Stefan","last_name":"Volkwein"}],"date_updated":"2024-02-21T10:21:03Z","has_accepted_license":"1"},{"date_created":"2024-03-20T14:56:05Z","external_id":{"arxiv":["2403.12147"]},"department":[{"_id":"799"}],"type":"preprint","citation":{"ama":"Hinrichs B, Matte O. Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. <i>arXiv:240312147</i>. Published online 2024.","bibtex":"@article{Hinrichs_Matte_2024, title={Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains}, journal={arXiv:2403.12147}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2024} }","mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” <i>ArXiv:2403.12147</i>, 2024.","short":"B. Hinrichs, O. Matte, ArXiv:2403.12147 (2024).","chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” <i>ArXiv:2403.12147</i>, 2024.","apa":"Hinrichs, B., &#38; Matte, O. (2024). Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. In <i>arXiv:2403.12147</i>.","ieee":"B. Hinrichs and O. Matte, “Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains,” <i>arXiv:2403.12147</i>. 2024."},"publication":"arXiv:2403.12147","abstract":[{"text":"We prove Feynman-Kac formulas for the semigroups generated by selfadjoint\r\noperators in a class containing Fr\\\"ohlich Hamiltonians known from solid state\r\nphysics. The latter model multi-polarons, i.e., a fixed number of quantum\r\nmechanical electrons moving in a polarizable crystal and interacting with the\r\nquantized phonon field generated by the crystal's vibrational modes. Both the\r\nelectrons and phonons can be confined to suitable open subsets of Euclidean\r\nspace. We also include possibly very singular magnetic vector potentials and\r\nelectrostatic potentials. Our Feynman-Kac formulas comprise Fock space\r\noperator-valued multiplicative functionals and can be applied to every vector\r\nin the underlying Hilbert space. In comparison to the renormalized Nelson\r\nmodel, for which analogous Feynman-Kac formulas are known, the analysis of the\r\ncreation and annihilation terms in the multiplicative functionals requires\r\nnovel ideas to overcome difficulties caused by the phonon dispersion relation\r\nbeing constant. Getting these terms under control and generalizing other\r\nconstruction steps so as to cover confined systems are the main achievements of\r\nthis article.","lang":"eng"}],"language":[{"iso":"eng"}],"_id":"52691","user_id":"99427","author":[{"id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","first_name":"Benjamin"},{"full_name":"Matte, Oliver","last_name":"Matte","first_name":"Oliver"}],"status":"public","year":"2024","title":"Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains","date_updated":"2024-03-20T14:56:50Z"},{"doi":"10.1093/comnet/cnae009","main_file_link":[{"url":"https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf","open_access":"1"}],"language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-03-22T09:11:53Z","article_type":"original","intvolume":"        12","title":"Heteroclinic dynamics in network dynamical systems with higher-order interactions","year":"2024","publication_identifier":{"issn":["2051-1329"]},"author":[{"last_name":"Bick","first_name":"Christian","full_name":"Bick, Christian"},{"full_name":"von der Gracht, Sören","orcid":"0000-0002-8054-2058","first_name":"Sören","last_name":"von der Gracht","id":"97359"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization","Management Science and Operations Research","Computer Networks and Communications"],"department":[{"_id":"101"}],"file":[{"date_created":"2024-03-22T09:06:07Z","creator":"svdg","file_id":"52728","content_type":"application/pdf","success":1,"relation":"main_file","date_updated":"2024-03-22T09:06:07Z","file_name":"heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf","file_size":649155,"access_level":"closed"}],"date_created":"2024-03-22T09:04:57Z","abstract":[{"text":"Heteroclinic structures organize global features of dynamical systems. We analyse whether heteroclinic structures can arise in network dynamics with higher-order interactions which describe the nonlinear interactions between three or more units. We find that while commonly analysed model equations such as network dynamics on undirected hypergraphs may be useful to describe local dynamics such as cluster synchronization, they give rise to obstructions that allow to design of heteroclinic structures in phase space. By contrast, directed hypergraphs break the homogeneity and lead to vector fields that support heteroclinic structures.","lang":"eng"}],"publication":"Journal of Complex Networks","issue":"2","user_id":"97359","ddc":["510"],"volume":12,"publisher":"Oxford University Press (OUP)","_id":"52726","has_accepted_license":"1","status":"public","oa":"1","external_id":{"arxiv":["2309.02006"]},"file_date_updated":"2024-03-22T09:06:07Z","citation":{"ama":"Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems with higher-order interactions. <i>Journal of Complex Networks</i>. 2024;12(2). doi:<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>","bibtex":"@article{Bick_von der Gracht_2024, title={Heteroclinic dynamics in network dynamical systems with higher-order interactions}, volume={12}, DOI={<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>}, number={2}, journal={Journal of Complex Networks}, publisher={Oxford University Press (OUP)}, author={Bick, Christian and von der Gracht, Sören}, year={2024} }","mla":"Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i>, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>.","chicago":"Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i> 12, no. 2 (2024). <a href=\"https://doi.org/10.1093/comnet/cnae009\">https://doi.org/10.1093/comnet/cnae009</a>.","short":"C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).","apa":"Bick, C., &#38; von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. <i>Journal of Complex Networks</i>, <i>12</i>(2). <a href=\"https://doi.org/10.1093/comnet/cnae009\">https://doi.org/10.1093/comnet/cnae009</a>","ieee":"C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” <i>Journal of Complex Networks</i>, vol. 12, no. 2, 2024, doi: <a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>."}},{"citation":{"mla":"Ma, Yulai, et al. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.” <i>Combinatorica</i>, vol. 44, Springer Science and Business Media LLC, 2024, pp. 429–40, doi:<a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>.","bibtex":"@article{Ma_Mattiolo_Steffen_Wolf_2024, title={Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs}, volume={44}, DOI={<a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>}, journal={Combinatorica}, publisher={Springer Science and Business Media LLC}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2024}, pages={429–440} }","ama":"Ma Y, Mattiolo D, Steffen E, Wolf IH. Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs. <i>Combinatorica</i>. 2024;44:429-440. doi:<a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>","ieee":"Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs,” <i>Combinatorica</i>, vol. 44, pp. 429–440, 2024, doi: <a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>.","apa":"Ma, Y., Mattiolo, D., Steffen, E., &#38; Wolf, I. H. (2024). Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs. <i>Combinatorica</i>, <i>44</i>, 429–440. <a href=\"https://doi.org/10.1007/s00493-023-00078-9\">https://doi.org/10.1007/s00493-023-00078-9</a>","short":"Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 44 (2024) 429–440.","chicago":"Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.” <i>Combinatorica</i> 44 (2024): 429–40. <a href=\"https://doi.org/10.1007/s00493-023-00078-9\">https://doi.org/10.1007/s00493-023-00078-9</a>."},"status":"public","publisher":"Springer Science and Business Media LLC","_id":"49905","page":"429-440","volume":44,"user_id":"15540","publication":"Combinatorica","abstract":[{"lang":"eng","text":"For 0 ≤ t ≤ r let m(t, r) be the maximum number s such that every t-edge-connected r-graph has s pairwise disjoint perfect matchings. There are only a few values of m(t, r) known, for instance m(3, 3) = m(4, r) = 1, and m(t, r) ≤ r − 2 for all t \u0003 = 5,\r\nand m(t, r) ≤ r − 3 if r is even. We prove that m(2l, r) ≤ 3l − 6 for every l ≥ 3 and r ≥ 2l."}],"date_created":"2023-12-20T10:31:27Z","department":[{"_id":"542"}],"keyword":["Computational Mathematics","Discrete Mathematics and Combinatorics"],"type":"journal_article","author":[{"id":"92748","last_name":"Ma","first_name":"Yulai","full_name":"Ma, Yulai"},{"last_name":"Mattiolo","first_name":"Davide","full_name":"Mattiolo, Davide"},{"full_name":"Steffen, Eckhard","orcid":"0000-0002-9808-7401","last_name":"Steffen","first_name":"Eckhard","id":"15548"},{"id":"88145","first_name":"Isaak Hieronymus","last_name":"Wolf","full_name":"Wolf, Isaak Hieronymus"}],"publication_identifier":{"issn":["0209-9683","1439-6912"]},"year":"2024","title":"Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs","intvolume":"        44","date_updated":"2024-03-22T12:11:35Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/s00493-023-00078-9"},{"user_id":"87909","ddc":["510"],"volume":"0","page":"0-0","_id":"53101","publisher":"American Institute of Mathematical Sciences (AIMS)","has_accepted_license":"1","status":"public","oa":"1","citation":{"short":"S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T.S.M. de Almagro, F.O. Szemenyei, Journal of Computational Dynamics 0 (2024) 0–0.","chicago":"Leyendecker, Sigrid, Sofya Maslovskaya, Sina Ober-Blöbaum, Rodrigo T. Sato Martín de Almagro, and Flóra Orsolya Szemenyei. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” <i>Journal of Computational Dynamics</i> 0, no. 0 (2024): 0–0. <a href=\"https://doi.org/10.3934/jcd.2024017\">https://doi.org/10.3934/jcd.2024017</a>.","apa":"Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., Almagro, R. T. S. M. de, &#38; Szemenyei, F. O. (2024). A new Lagrangian approach to control affine systems with a quadratic Lagrange term. <i>Journal of Computational Dynamics</i>, <i>0</i>(0), 0–0. <a href=\"https://doi.org/10.3934/jcd.2024017\">https://doi.org/10.3934/jcd.2024017</a>","ieee":"S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro, and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with a quadratic Lagrange term,” <i>Journal of Computational Dynamics</i>, vol. 0, no. 0, pp. 0–0, 2024, doi: <a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>.","ama":"Leyendecker S, Maslovskaya S, Ober-Blöbaum S, Almagro RTSM de, Szemenyei FO. A new Lagrangian approach to control affine systems with a quadratic Lagrange term. <i>Journal of Computational Dynamics</i>. 2024;0(0):0-0. doi:<a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>","bibtex":"@article{Leyendecker_Maslovskaya_Ober-Blöbaum_Almagro_Szemenyei_2024, title={A new Lagrangian approach to control affine systems with a quadratic Lagrange term}, volume={0}, DOI={<a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>}, number={0}, journal={Journal of Computational Dynamics}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Leyendecker, Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Almagro, Rodrigo T. Sato Martín de and Szemenyei, Flóra Orsolya}, year={2024}, pages={0–0} }","mla":"Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” <i>Journal of Computational Dynamics</i>, vol. 0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi:<a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>."},"doi":"10.3934/jcd.2024017","main_file_link":[{"url":"https://www.aimsciences.org/article/doi/10.3934/jcd.2024017","open_access":"1"}],"language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-03-28T16:07:34Z","article_type":"original","year":"2024","title":"A new Lagrangian approach to control affine systems with a quadratic Lagrange term","publication_identifier":{"issn":["2158-2491","2158-2505"]},"author":[{"full_name":"Leyendecker, Sigrid","first_name":"Sigrid","last_name":"Leyendecker"},{"last_name":"Maslovskaya","first_name":"Sofya","full_name":"Maslovskaya, Sofya","id":"87909"},{"id":"16494","first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina"},{"full_name":"Almagro, Rodrigo T. Sato Martín de","last_name":"Almagro","first_name":"Rodrigo T. Sato Martín de"},{"full_name":"Szemenyei, Flóra Orsolya","last_name":"Szemenyei","first_name":"Flóra Orsolya"}],"type":"journal_article","keyword":["Optimal control problem","Lagrangian system","Hamiltonian system","Variations","Pontryagin's maximum principle."],"department":[{"_id":"636"}],"date_created":"2024-03-28T15:58:02Z","abstract":[{"text":"In this work, we consider optimal control problems for mechanical systems with fixed initial and free final state and a quadratic Lagrange term. Specifically, the dynamics is described by a second order ODE containing an affine control term. Classically, Pontryagin's maximum principle gives necessary optimality conditions for the optimal control problem. For smooth problems, alternatively, a variational approach based on an augmented objective can be followed. Here, we propose a new Lagrangian approach leading to equivalent necessary optimality conditions in the form of Euler-Lagrange equations. Thus, the differential geometric structure (similar to classical Lagrangian dynamics) can be exploited in the framework of optimal control problems. In particular, the formulation enables the symplectic discretisation of the optimal control problem via variational integrators in a straightforward way.","lang":"eng"}],"issue":"0","publication":"Journal of Computational Dynamics"},{"has_accepted_license":"1","publication_status":"epub_ahead","date_updated":"2024-04-18T08:20:42Z","author":[{"id":"31132","first_name":"Sebastian","last_name":"Rezat","full_name":"Rezat, Sebastian"}],"title":"Research on curriculum resources in mathematics education: a survey of the field","status":"public","year":"2024","user_id":"31132","doi":"10.1007/s11858-024-01559-x","_id":"52584","publisher":"Springer","language":[{"iso":"eng"}],"citation":{"chicago":"Rezat, Sebastian. “Research on Curriculum Resources in Mathematics Education: A Survey of the Field.” <i>ZDM – Mathematics Education</i>, 2024. <a href=\"https://doi.org/10.1007/s11858-024-01559-x\">https://doi.org/10.1007/s11858-024-01559-x</a>.","short":"S. Rezat, ZDM – Mathematics Education (2024).","ieee":"S. Rezat, “Research on curriculum resources in mathematics education: a survey of the field,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s11858-024-01559-x\">10.1007/s11858-024-01559-x</a>.","apa":"Rezat, S. (2024). Research on curriculum resources in mathematics education: a survey of the field. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-024-01559-x\">https://doi.org/10.1007/s11858-024-01559-x</a>","bibtex":"@article{Rezat_2024, title={Research on curriculum resources in mathematics education: a survey of the field}, DOI={<a href=\"https://doi.org/10.1007/s11858-024-01559-x\">10.1007/s11858-024-01559-x</a>}, journal={ZDM – Mathematics Education}, publisher={Springer}, author={Rezat, Sebastian}, year={2024} }","ama":"Rezat S. Research on curriculum resources in mathematics education: a survey of the field. <i>ZDM – Mathematics Education</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s11858-024-01559-x\">10.1007/s11858-024-01559-x</a>","mla":"Rezat, Sebastian. “Research on Curriculum Resources in Mathematics Education: A Survey of the Field.” <i>ZDM – Mathematics Education</i>, Springer, 2024, doi:<a href=\"https://doi.org/10.1007/s11858-024-01559-x\">10.1007/s11858-024-01559-x</a>."},"publication":"ZDM – Mathematics Education","department":[{"_id":"360"}],"type":"journal_article","date_created":"2024-03-15T08:46:00Z"},{"file_date_updated":"2024-02-25T20:55:29Z","citation":{"ieee":"B. Barzel, G. Greefrath, M. Nagel, and M. Hoffmann, “Digitalisierung als Chance für alle Prinzipien guten Unterrichts,” <i>mathematik lehren</i>, vol. 242, pp. 42–47, 2024.","apa":"Barzel, B., Greefrath, G., Nagel, M., &#38; Hoffmann, M. (2024). Digitalisierung als Chance für alle Prinzipien guten Unterrichts. <i>mathematik lehren</i>, <i>242</i>, 42–47.","mla":"Barzel, Bärbel, et al. “Digitalisierung als Chance für alle Prinzipien guten Unterrichts.” <i>mathematik lehren</i>, vol. 242, 2024, pp. 42–47.","bibtex":"@article{Barzel_Greefrath_Nagel_Hoffmann_2024, title={Digitalisierung als Chance für alle Prinzipien guten Unterrichts}, volume={242}, journal={mathematik lehren}, author={Barzel, Bärbel and Greefrath, Gilbert and Nagel, Mareike and Hoffmann, Max}, year={2024}, pages={42–47} }","ama":"Barzel B, Greefrath G, Nagel M, Hoffmann M. Digitalisierung als Chance für alle Prinzipien guten Unterrichts. <i>mathematik lehren</i>. 2024;242:42-47.","short":"B. Barzel, G. Greefrath, M. Nagel, M. Hoffmann, mathematik lehren 242 (2024) 42–47.","chicago":"Barzel, Bärbel, Gilbert Greefrath, Mareike Nagel, and Max Hoffmann. “Digitalisierung als Chance für alle Prinzipien guten Unterrichts.” <i>mathematik lehren</i> 242 (2024): 42–47."},"oa":"1","status":"public","has_accepted_license":"1","page":"42 - 47","_id":"51841","user_id":"37888","ddc":["510","370"],"volume":242,"publication":"mathematik lehren","abstract":[{"lang":"ger","text":"athematische Kompetenzen digital zu fördern und digitale Kompetenzen mathematisch zu fördern – dies ist eine Forderung der neuen Bildungsstandards mit Blick auf eine Bildung in der digitalen Welt. Gerade das Potenzial digitaler Medien für das fachliche Lernen wurde in vielen Studien bestätigt. Eine sinnvoll gestaltete Einbettung digitaler Medien bietet die Chance, allen fünf Prinzipien eines guten Unterrichts gerecht zu werden: Verstehensorientierung, Durchgängigkeit, kognitive Aktivierung, Lernendenorientierung & Adaptivität und Kommunikationsförderung. Die flächendeckende Nutzung digitaler Medien etabliert sich bislang nur zögerlich. Aber wie können wir Lehrkräfte stärken, digitale Medien sinnvoll einzusetzen? Wir möchten hier die Bandbreite der Möglichkeiten an Beispielen verdeutlichen, ihren Einsatz motivieren und Wege für einen guten Unterricht aufzeigen."}],"file":[{"content_type":"application/pdf","success":1,"file_id":"51842","access_level":"closed","file_size":1410541,"file_name":"Barzel_etal_2024_DigitalisierungalsChancefrallePrinzipiengut.pdf","date_updated":"2024-02-25T20:55:29Z","relation":"main_file","date_created":"2024-02-25T20:55:29Z","creator":"maxh"}],"date_created":"2024-02-25T20:58:51Z","type":"journal_article","department":[{"_id":"643"}],"title":"Digitalisierung als Chance für alle Prinzipien guten Unterrichts","year":"2024","author":[{"first_name":"Bärbel","last_name":"Barzel","full_name":"Barzel, Bärbel"},{"first_name":"Gilbert","last_name":"Greefrath","full_name":"Greefrath, Gilbert"},{"last_name":"Nagel","first_name":"Mareike","full_name":"Nagel, Mareike"},{"orcid":"0000-0002-6964-7123","first_name":"Max","last_name":"Hoffmann","full_name":"Hoffmann, Max","id":"32202"}],"publication_status":"published","date_updated":"2024-04-18T08:57:42Z","article_type":"original","intvolume":"       242","main_file_link":[{"url":"https://www.friedrich-verlag.de/shop/mwdownloads/download/link/id/114555/","open_access":"1"}],"language":[{"iso":"ger"}]},{"language":[{"iso":"ger"}],"series_title":"DaZ-Handbücher","main_file_link":[{"open_access":"1","url":"https://www.degruyter.com/document/doi/10.1515/9783110745504/pdf?licenseType=restricted#page=381"}],"publication_identifier":{"isbn":["978-3-11-074544-3"]},"author":[{"first_name":"Susanne","last_name":"Prediger","full_name":"Prediger, Susanne"},{"id":"85190","full_name":"Wessel, Lena","first_name":"Lena","last_name":"Wessel"}],"title":"31 Sprachbildung im berufsbezogenen Mathematikunterricht.","year":"2024","date_updated":"2024-04-18T08:58:14Z","publication_status":"published","date_created":"2024-01-17T10:58:04Z","department":[{"_id":"643"}],"type":"book_chapter","publication":"Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis","publisher":"DE GRUYTER","_id":"50554","page":"363-372","editor":[{"last_name":"Efing","first_name":"Christian","full_name":"Efing, Christian"},{"first_name":"Zeynep","last_name":"Kalkavan-Aydin","full_name":"Kalkavan-Aydin, Zeynep"}],"volume":"Band 3","user_id":"37888","status":"public","place":"Berlin","oa":"1","citation":{"mla":"Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen Mathematikunterricht.” <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis</i>, edited by Christian Efing and Zeynep Kalkavan-Aydin, vol. Band 3, DE GRUYTER, 2024, pp. 363–72.","ama":"Prediger S, Wessel L. 31 Sprachbildung im berufsbezogenen Mathematikunterricht. In: Efing C, Kalkavan-Aydin Z, eds. <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis</i>. Vol Band 3. DaZ-Handbücher. DE GRUYTER; 2024:363-372.","bibtex":"@inbook{Prediger_Wessel_2024, place={Berlin}, series={DaZ-Handbücher}, title={31 Sprachbildung im berufsbezogenen Mathematikunterricht.}, volume={Band 3}, booktitle={Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis}, publisher={DE GRUYTER}, author={Prediger, Susanne and Wessel, Lena}, editor={Efing, Christian and Kalkavan-Aydin, Zeynep}, year={2024}, pages={363–372}, collection={DaZ-Handbücher} }","apa":"Prediger, S., &#38; Wessel, L. (2024). 31 Sprachbildung im berufsbezogenen Mathematikunterricht. In C. Efing &#38; Z. Kalkavan-Aydin (Eds.), <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis: Vol. Band 3</i> (pp. 363–372). DE GRUYTER.","ieee":"S. Prediger and L. Wessel, “31 Sprachbildung im berufsbezogenen Mathematikunterricht.,” in <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis</i>, vol. Band 3, C. Efing and Z. Kalkavan-Aydin, Eds. Berlin: DE GRUYTER, 2024, pp. 363–372.","chicago":"Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen Mathematikunterricht.” In <i>Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis</i>, edited by Christian Efing and Zeynep Kalkavan-Aydin, Band 3:363–72. DaZ-Handbücher. Berlin: DE GRUYTER, 2024.","short":"S. Prediger, L. Wessel, in: C. Efing, Z. Kalkavan-Aydin (Eds.), Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis, DE GRUYTER, Berlin, 2024, pp. 363–372."}},{"date_created":"2024-02-06T21:00:55Z","external_id":{"arxiv":["2304.09573"]},"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"type":"journal_article","citation":{"chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i> 218 (2024). <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","short":"T. Weich, L.L. Wolf, Geom Dedicata 218 (2024).","apa":"Weich, T., &#38; Wolf, L. L. (2024). Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>, <i>218</i>, Article 76. <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>","ieee":"T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” <i>Geom Dedicata</i>, vol. 218, Art. no. 76, 2024, doi: <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","ama":"Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>. 2024;218. doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>","bibtex":"@article{Weich_Wolf_2024, title={Temperedness of locally symmetric spaces: The product case}, volume={218}, DOI={<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>}, number={76}, journal={Geom Dedicata}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2024} }","mla":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i>, vol. 218, 76, 2024, doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>."},"publication":"Geom Dedicata","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$\\Gamma$."}],"_id":"51207","language":[{"iso":"eng"}],"article_number":"76","volume":218,"user_id":"45027","doi":"https://doi.org/10.1007/s10711-024-00904-4","author":[{"id":"49178","last_name":"Weich","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias"},{"id":"45027","full_name":"Wolf, Lasse Lennart","last_name":"Wolf","first_name":"Lasse Lennart","orcid":"0000-0001-8893-2045"}],"status":"public","title":"Temperedness of locally symmetric spaces: The product case","year":"2024","intvolume":"       218","date_updated":"2024-05-07T11:44:34Z"},{"citation":{"ieee":"U. Häsel-Weide, L. M. Graf, K. Höveler, and M. Nührenbörger, “Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule,” <i>HLZ – Herausforderung Lehrer*innenbildung</i>, vol. 7, no. 1, 2024, doi: <a href=\"https://doi.org/10.11576/hlz-6727\">10.11576/hlz-6727</a>.","apa":"Häsel-Weide, U., Graf, L. M., Höveler, K., &#38; Nührenbörger, M. (2024). Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule. <i>HLZ – Herausforderung Lehrer*innenbildung</i>, <i>7</i>(1). <a href=\"https://doi.org/10.11576/hlz-6727\">https://doi.org/10.11576/hlz-6727</a>","mla":"Häsel-Weide, Uta, et al. “Fachbezogene Professionalisierung von Fachfremd Mathematik Unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen Zur Expertise Im Umgang Mit Schwierigkeiten Beim Mathematiklernen Im Anfangsunterricht Der Grundschule.” <i>HLZ – Herausforderung Lehrer*innenbildung</i>, vol. 7, no. 1, 2024, doi:<a href=\"https://doi.org/10.11576/hlz-6727\">10.11576/hlz-6727</a>.","bibtex":"@article{Häsel-Weide_Graf_Höveler_Nührenbörger_2024, title={Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule}, volume={7}, DOI={<a href=\"https://doi.org/10.11576/hlz-6727\">10.11576/hlz-6727</a>}, number={1}, journal={HLZ – Herausforderung Lehrer*innenbildung}, author={Häsel-Weide, Uta and Graf, Lara Marie and Höveler, K. and Nührenbörger, M.}, year={2024} }","ama":"Häsel-Weide U, Graf LM, Höveler K, Nührenbörger M. Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule. <i>HLZ – Herausforderung Lehrer*innenbildung</i>. 2024;7(1). doi:<a href=\"https://doi.org/10.11576/hlz-6727\">10.11576/hlz-6727</a>","short":"U. Häsel-Weide, L.M. Graf, K. Höveler, M. Nührenbörger, HLZ – Herausforderung Lehrer*innenbildung 7 (2024).","chicago":"Häsel-Weide, Uta, Lara Marie Graf, K. Höveler, and M. Nührenbörger. “Fachbezogene Professionalisierung von Fachfremd Mathematik Unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen Zur Expertise Im Umgang Mit Schwierigkeiten Beim Mathematiklernen Im Anfangsunterricht Der Grundschule.” <i>HLZ – Herausforderung Lehrer*innenbildung</i> 7, no. 1 (2024). <a href=\"https://doi.org/10.11576/hlz-6727\">https://doi.org/10.11576/hlz-6727</a>."},"publication":"HLZ – Herausforderung Lehrer*innenbildung","issue":"1","date_created":"2024-05-08T08:40:45Z","department":[{"_id":"543"}],"type":"journal_article","author":[{"id":"60267","last_name":"Häsel-Weide","first_name":"Uta","full_name":"Häsel-Weide, Uta"},{"first_name":"Lara Marie","last_name":"Graf","full_name":"Graf, Lara Marie","id":"89837"},{"last_name":"Höveler","first_name":"K.","full_name":"Höveler, K."},{"first_name":"M.","last_name":"Nührenbörger","full_name":"Nührenbörger, M."}],"year":"2024","title":"Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule","status":"public","intvolume":"         7","date_updated":"2024-05-08T08:42:20Z","language":[{"iso":"eng"}],"_id":"54078","volume":7,"doi":"10.11576/hlz-6727","user_id":"44184"},{"date_created":"2024-05-10T07:48:10Z","department":[{"_id":"363"}],"type":"journal_article","citation":{"mla":"Lankeit, Elisa, and Rolf Biehler. “The Meaning Landscape of the Concept of the Total Derivative in Multivariable Real Analysis Textbooks: An Analysis Based on a New Model of Meaning.” <i>ZDM – Mathematics Education</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>.","ama":"Lankeit E, Biehler R. The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning. <i>ZDM – Mathematics Education</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>","bibtex":"@article{Lankeit_Biehler_2024, title={The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning}, DOI={<a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Elisa and Biehler, Rolf}, year={2024} }","apa":"Lankeit, E., &#38; Biehler, R. (2024). The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-024-01584-w\">https://doi.org/10.1007/s11858-024-01584-w</a>","ieee":"E. Lankeit and R. Biehler, “The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>.","chicago":"Lankeit, Elisa, and Rolf Biehler. “The Meaning Landscape of the Concept of the Total Derivative in Multivariable Real Analysis Textbooks: An Analysis Based on a New Model of Meaning.” <i>ZDM – Mathematics Education</i>, 2024. <a href=\"https://doi.org/10.1007/s11858-024-01584-w\">https://doi.org/10.1007/s11858-024-01584-w</a>.","short":"E. Lankeit, R. Biehler, ZDM – Mathematics Education (2024)."},"publication":"ZDM – Mathematics Education","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>In this paper, we propose a novel conceptual framework tailored for modeling the meaning of mathematical concepts in university-level mathematics, addressing their rigorous nature and their relationships with related concepts as well as interpretations in various contexts. Within this framework, we present a model of meaning for the concepts of total differentiability and total derivative that provides a variety of possible interpretations and aspects. We then use the proposed model of meaning as a tool for analyzing three different textbooks for mathematics majors on the topic of multidimensional differentiability. Our paper is an example of a subject matter analysis of a topic in university mathematics carried out in a structured way. The model of meaning for total differentiability presented in this paper could inspire course design and analysis including the design of assignments and assessments for students. Moreover, it could serve as a valuable research tool for further analyses. For example, it could be used as a framework for analyzing courses taught or as a basis for developing a test instrument to assess students’ understanding. With our textbook analysis, we begin to examine the landscape of textbooks regarding differentiability concepts in the multidimensional case, shedding light on the diversity of meaning facets that are covered in the textbooks. These results could be useful for guiding instructors and learners in selecting and using textbooks for teaching and learning based on their respective needs.</jats:p>","lang":"eng"}],"_id":"54144","language":[{"iso":"eng"}],"publisher":"Springer Science and Business Media LLC","user_id":"37888","doi":"10.1007/s11858-024-01584-w","publication_identifier":{"issn":["1863-9690","1863-9704"]},"author":[{"first_name":"Elisa","last_name":"Lankeit","full_name":"Lankeit, Elisa"},{"id":"16274","last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"}],"year":"2024","status":"public","title":"The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning","publication_status":"published","date_updated":"2024-05-10T07:49:19Z"},{"citation":{"mla":"Ernst, Alena, and Kai-Uwe Schmidt. “Transitivity in Finite General Linear Groups.” <i>Mathematische Zeitschrift</i>, vol. 307, no. 45, 2024, doi:<a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>.","ama":"Ernst A, Schmidt K-U. Transitivity in finite general linear groups. <i>Mathematische Zeitschrift</i>. 2024;307(45). doi:<a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>","bibtex":"@article{Ernst_Schmidt_2024, title={Transitivity in finite general linear groups}, volume={307}, DOI={<a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>}, number={45}, journal={Mathematische Zeitschrift}, author={Ernst, Alena and Schmidt, Kai-Uwe}, year={2024} }","apa":"Ernst, A., &#38; Schmidt, K.-U. (2024). Transitivity in finite general linear groups. <i>Mathematische Zeitschrift</i>, <i>307</i>(45). <a href=\"https://doi.org/10.1007/s00209-024-03511-x\">https://doi.org/10.1007/s00209-024-03511-x</a>","ieee":"A. Ernst and K.-U. Schmidt, “Transitivity in finite general linear groups,” <i>Mathematische Zeitschrift</i>, vol. 307, no. 45, 2024, doi: <a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>.","chicago":"Ernst, Alena, and Kai-Uwe Schmidt. “Transitivity in Finite General Linear Groups.” <i>Mathematische Zeitschrift</i> 307, no. 45 (2024). <a href=\"https://doi.org/10.1007/s00209-024-03511-x\">https://doi.org/10.1007/s00209-024-03511-x</a>.","short":"A. Ernst, K.-U. Schmidt, Mathematische Zeitschrift 307 (2024)."},"publication":"Mathematische Zeitschrift","issue":"45","abstract":[{"lang":"eng","text":"It is known that the notion of a transitive subgroup of a permutation group\r\n$G$ extends naturally to subsets of $G$. We consider subsets of the general\r\nlinear group $\\operatorname{GL}(n,q)$ acting transitively on flag-like\r\nstructures, which are common generalisations of $t$-dimensional subspaces of\r\n$\\mathbb{F}_q^n$ and bases of $t$-dimensional subspaces of $\\mathbb{F}_q^n$. We\r\ngive structural characterisations of transitive subsets of\r\n$\\operatorname{GL}(n,q)$ using the character theory of $\\operatorname{GL}(n,q)$\r\nand interpret such subsets as designs in the conjugacy class association\r\nscheme of $\\operatorname{GL}(n,q)$. In particular we generalise a theorem of\r\nPerin on subgroups of $\\operatorname{GL}(n,q)$ acting transitively on\r\n$t$-dimensional subspaces. We survey transitive subgroups of\r\n$\\operatorname{GL}(n,q)$, showing that there is no subgroup of\r\n$\\operatorname{GL}(n,q)$ with $1<t<n$ acting transitively on $t$-dimensional\r\nsubspaces unless it contains $\\operatorname{SL}(n,q)$ or is one of two\r\nexceptional groups. On the other hand, for all fixed $t$, we show that there\r\nexist nontrivial subsets of $\\operatorname{GL}(n,q)$ that are transitive on\r\nlinearly independent $t$-tuples of $\\mathbb{F}_q^n$, which also shows the\r\nexistence of nontrivial subsets of $\\operatorname{GL}(n,q)$ that are transitive\r\non more general flag-like structures. We establish connections with orthogonal\r\npolynomials, namely the Al-Salam-Carlitz polynomials, and generalise a result\r\nby Rudvalis and Shinoda on the distribution of the number of fixed points of\r\nthe elements in $\\operatorname{GL}(n,q)$. Many of our results can be\r\ninterpreted as $q$-analogs of corresponding results for the symmetric group."}],"date_created":"2024-04-17T12:26:51Z","department":[{"_id":"100"}],"type":"journal_article","author":[{"id":"46953","last_name":"Ernst","first_name":"Alena","full_name":"Ernst, Alena"},{"full_name":"Schmidt, Kai-Uwe","last_name":"Schmidt","first_name":"Kai-Uwe"}],"year":"2024","title":"Transitivity in finite general linear groups","status":"public","intvolume":"       307","date_updated":"2024-06-17T10:04:29Z","language":[{"iso":"eng"}],"_id":"53534","volume":307,"user_id":"46953","doi":"10.1007/s00209-024-03511-x"},{"abstract":[{"text":"We present a new gradient-like dynamical system related to unconstrained convex smooth multiobjective optimization which involves inertial effects and asymptotic vanishing damping. To the best of our knowledge, this system is the first inertial gradient-like system for multiobjective optimization problems including asymptotic vanishing damping, expanding the ideas previously laid out in [H. Attouch and G. Garrigos, Multiobjective Optimization: An Inertial Dynamical Approach to Pareto Optima, preprint, arXiv:1506.02823, 2015]. We prove existence of solutions to this system in finite dimensions and further prove that its bounded solutions converge weakly to weakly Pareto optimal points. In addition, we obtain a convergence rate of order \\(\\mathcal{O}(t^{-2})\\) for the function values measured with a merit function. This approach presents a good basis for the development of fast gradient methods for multiobjective optimization.","lang":"eng"}],"publication":"SIAM Journal on Optimization","issue":"3","department":[{"_id":"101"},{"_id":"655"}],"keyword":["multiobjective optimization","Pareto optimization","Lyapunov analysis","gradient-likedynamical systems","inertial dynamics","asymptotic vanishing damping","fast convergence"],"type":"journal_article","date_created":"2022-07-28T11:53:02Z","intvolume":"        34","article_type":"original","date_updated":"2024-07-02T09:27:39Z","publication_status":"published","author":[{"last_name":"Sonntag","orcid":"https://orcid.org/0000-0003-3384-3496","first_name":"Konstantin","full_name":"Sonntag, Konstantin","id":"56399"},{"last_name":"Peitz","orcid":"0000-0002-3389-793X","first_name":"Sebastian","full_name":"Peitz, Sebastian","id":"47427"}],"publication_identifier":{"issn":["1095-7189"]},"year":"2024","title":"Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping","doi":"10.1137/23M1588512","language":[{"iso":"eng"}],"citation":{"ieee":"K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping,” <i>SIAM Journal on Optimization</i>, vol. 34, no. 3, pp. 2259–2286, 2024, doi: <a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>.","mla":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” <i>SIAM Journal on Optimization</i>, vol. 34, no. 3, Society for Industrial and Applied Mathematics, 2024, pp. 2259–86, doi:<a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>.","apa":"Sonntag, K., &#38; Peitz, S. (2024). Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. <i>SIAM Journal on Optimization</i>, <i>34</i>(3), 2259–2286. <a href=\"https://doi.org/10.1137/23M1588512\">https://doi.org/10.1137/23M1588512</a>","bibtex":"@article{Sonntag_Peitz_2024, title={Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping}, volume={34}, DOI={<a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>}, number={3}, journal={SIAM Journal on Optimization}, publisher={Society for Industrial and Applied Mathematics}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024}, pages={2259–2286} }","chicago":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” <i>SIAM Journal on Optimization</i> 34, no. 3 (2024): 2259–86. <a href=\"https://doi.org/10.1137/23M1588512\">https://doi.org/10.1137/23M1588512</a>.","ama":"Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. <i>SIAM Journal on Optimization</i>. 2024;34(3):2259-2286. doi:<a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>","short":"K. Sonntag, S. Peitz, SIAM Journal on Optimization 34 (2024) 2259–2286."},"status":"public","volume":34,"user_id":"56399","_id":"32447","publisher":"Society for Industrial and Applied Mathematics","page":"2259 - 2286"},{"page":"537–545","_id":"55191","publisher":"World Scientific","user_id":"31132","volume":1,"status":"public","place":"Shanghai, China","citation":{"ama":"Rezat S, Visnovska J, Yan G, Leshota M, Sabra H. Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics. In: <i>Proceedings of the 14th International Congress on Mathematical Education</i>. Vol 1. World Scientific; 2024:537–545. doi:<a href=\"https://doi.org/10.1142/9789811287152_0065\">10.1142/9789811287152_0065</a>","short":"S. Rezat, J. Visnovska, G. Yan, M. Leshota, H. Sabra, in: Proceedings of the 14th International Congress on Mathematical Education, World Scientific, Shanghai, China, 2024, pp. 537–545.","chicago":"Rezat, Sebastian, Jana Visnovska, Guorui Yan, Moneoang Leshota, and Hussein Sabra. “Topic Study Group 41: Research and Development on Textbooks and Resources for Learning and Teaching Mathematics.” In <i>Proceedings of the 14th International Congress on Mathematical Education</i>, 1:537–545. Shanghai, China: World Scientific, 2024. <a href=\"https://doi.org/10.1142/9789811287152_0065\">https://doi.org/10.1142/9789811287152_0065</a>.","bibtex":"@inproceedings{Rezat_Visnovska_Yan_Leshota_Sabra_2024, place={Shanghai, China}, title={Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics}, volume={1}, DOI={<a href=\"https://doi.org/10.1142/9789811287152_0065\">10.1142/9789811287152_0065</a>}, booktitle={Proceedings of the 14th International Congress on Mathematical Education}, publisher={World Scientific}, author={Rezat, Sebastian and Visnovska, Jana and Yan, Guorui and Leshota, Moneoang and Sabra, Hussein}, year={2024}, pages={537–545} }","mla":"Rezat, Sebastian, et al. “Topic Study Group 41: Research and Development on Textbooks and Resources for Learning and Teaching Mathematics.” <i>Proceedings of the 14th International Congress on Mathematical Education</i>, vol. 1, World Scientific, 2024, pp. 537–545, doi:<a href=\"https://doi.org/10.1142/9789811287152_0065\">10.1142/9789811287152_0065</a>.","apa":"Rezat, S., Visnovska, J., Yan, G., Leshota, M., &#38; Sabra, H. (2024). Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics. <i>Proceedings of the 14th International Congress on Mathematical Education</i>, <i>1</i>, 537–545. <a href=\"https://doi.org/10.1142/9789811287152_0065\">https://doi.org/10.1142/9789811287152_0065</a>","ieee":"S. Rezat, J. Visnovska, G. Yan, M. Leshota, and H. Sabra, “Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics,” in <i>Proceedings of the 14th International Congress on Mathematical Education</i>, 2024, vol. 1, pp. 537–545, doi: <a href=\"https://doi.org/10.1142/9789811287152_0065\">10.1142/9789811287152_0065</a>."},"language":[{"iso":"eng"}],"doi":"10.1142/9789811287152_0065","year":"2024","title":"Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics","author":[{"full_name":"Rezat, Sebastian","first_name":"Sebastian","last_name":"Rezat","id":"31132"},{"full_name":"Visnovska, Jana","last_name":"Visnovska","first_name":"Jana"},{"first_name":"Guorui","last_name":"Yan","full_name":"Yan, Guorui"},{"last_name":"Leshota","first_name":"Moneoang","full_name":"Leshota, Moneoang"},{"full_name":"Sabra, Hussein","last_name":"Sabra","first_name":"Hussein"}],"publication_status":"published","date_updated":"2024-07-12T07:02:20Z","intvolume":"         1","date_created":"2024-07-12T06:58:06Z","type":"conference","keyword":["Mathematics","Mathematik","Textbook","Curriculum Resources","Schulbuch"],"department":[{"_id":"360"}],"publication":"Proceedings of the 14th International Congress on Mathematical Education"},{"citation":{"ieee":"P. Minelli, A. Sourmelidis, and M. Technau, “On restricted averages of Dedekind sums,” <i>Int. Math. Res. Not. IMRN</i>, vol. 2024, no. 10, pp. 8485–8502, 2024, doi: <a href=\"https://doi.org/10.1093/imrn/rnad283\">10.1093/imrn/rnad283</a>.","apa":"Minelli, P., Sourmelidis, A., &#38; Technau, M. (2024). On restricted averages of Dedekind sums. <i>Int. Math. Res. Not. IMRN</i>, <i>2024</i>(10), 8485–8502. <a href=\"https://doi.org/10.1093/imrn/rnad283\">https://doi.org/10.1093/imrn/rnad283</a>","chicago":"Minelli, P., A. Sourmelidis, and Marc Technau. “On Restricted Averages of Dedekind Sums.” <i>Int. Math. Res. Not. IMRN</i> 2024, no. 10 (2024): 8485–8502. <a href=\"https://doi.org/10.1093/imrn/rnad283\">https://doi.org/10.1093/imrn/rnad283</a>.","short":"P. Minelli, A. Sourmelidis, M. Technau, Int. Math. Res. Not. IMRN 2024 (2024) 8485–8502.","mla":"Minelli, P., et al. “On Restricted Averages of Dedekind Sums.” <i>Int. Math. Res. Not. IMRN</i>, vol. 2024, no. 10, 2024, pp. 8485–8502, doi:<a href=\"https://doi.org/10.1093/imrn/rnad283\">10.1093/imrn/rnad283</a>.","bibtex":"@article{Minelli_Sourmelidis_Technau_2024, title={On restricted averages of Dedekind sums}, volume={2024}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnad283\">10.1093/imrn/rnad283</a>}, number={10}, journal={Int. Math. Res. Not. IMRN}, author={Minelli, P. and Sourmelidis, A. and Technau, Marc}, year={2024}, pages={8485–8502} }","ama":"Minelli P, Sourmelidis A, Technau M. On restricted averages of Dedekind sums. <i>Int Math Res Not IMRN</i>. 2024;2024(10):8485–8502. doi:<a href=\"https://doi.org/10.1093/imrn/rnad283\">10.1093/imrn/rnad283</a>"},"publication":"Int. Math. Res. Not. IMRN","issue":"10","department":[{"_id":"102"}],"type":"journal_article","date_created":"2024-07-16T11:09:00Z","intvolume":"      2024","date_updated":"2024-07-24T07:23:20Z","author":[{"last_name":"Minelli","first_name":"P.","full_name":"Minelli, P."},{"full_name":"Sourmelidis, A.","last_name":"Sourmelidis","first_name":"A."},{"id":"106108","first_name":"Marc","last_name":"Technau","orcid":"0000-0001-9650-2459","full_name":"Technau, Marc"}],"year":"2024","title":"On restricted averages of Dedekind sums","status":"public","volume":2024,"user_id":"106108","doi":"10.1093/imrn/rnad283","_id":"55276","language":[{"iso":"eng"}],"page":"8485–8502"},{"_id":"55278","language":[{"iso":"eng"}],"page":"63–69","volume":152,"doi":"10.1090/proc/16520","user_id":"106108","author":[{"id":"106108","full_name":"Technau, Marc","first_name":"Marc","last_name":"Technau","orcid":"0000-0001-9650-2459"}],"year":"2024","title":"Remark on the Farey fraction spin chain","status":"public","intvolume":"       152","date_updated":"2024-07-24T07:26:12Z","date_created":"2024-07-16T11:09:01Z","department":[{"_id":"102"}],"type":"journal_article","citation":{"bibtex":"@article{Technau_2024, title={Remark on the Farey fraction spin chain}, volume={152}, DOI={<a href=\"https://doi.org/10.1090/proc/16520\">10.1090/proc/16520</a>}, number={1}, journal={Proc. Amer. Math. Soc.}, author={Technau, Marc}, year={2024}, pages={63–69} }","ama":"Technau M. Remark on the Farey fraction spin chain. <i>Proc Amer Math Soc</i>. 2024;152(1):63–69. doi:<a href=\"https://doi.org/10.1090/proc/16520\">10.1090/proc/16520</a>","mla":"Technau, Marc. “Remark on the Farey Fraction Spin Chain.” <i>Proc. Amer. Math. Soc.</i>, vol. 152, no. 1, 2024, pp. 63–69, doi:<a href=\"https://doi.org/10.1090/proc/16520\">10.1090/proc/16520</a>.","chicago":"Technau, Marc. “Remark on the Farey Fraction Spin Chain.” <i>Proc. Amer. Math. Soc.</i> 152, no. 1 (2024): 63–69. <a href=\"https://doi.org/10.1090/proc/16520\">https://doi.org/10.1090/proc/16520</a>.","short":"M. Technau, Proc. Amer. Math. Soc. 152 (2024) 63–69.","ieee":"M. Technau, “Remark on the Farey fraction spin chain,” <i>Proc. Amer. Math. Soc.</i>, vol. 152, no. 1, pp. 63–69, 2024, doi: <a href=\"https://doi.org/10.1090/proc/16520\">10.1090/proc/16520</a>.","apa":"Technau, M. (2024). Remark on the Farey fraction spin chain. <i>Proc. Amer. Math. Soc.</i>, <i>152</i>(1), 63–69. <a href=\"https://doi.org/10.1090/proc/16520\">https://doi.org/10.1090/proc/16520</a>"},"issue":"1","publication":"Proc. Amer. Math. Soc.","extern":"1"}]