[{"type":"journal_article","keyword":["Computational Mathematics","Control and Optimization","Control and Systems Engineering"],"date_created":"2022-10-24T12:51:05Z","abstract":[{"text":"<jats:p>Helhmoltz–Kirchhoff equations of motions of vortices of an incompressible fluid in the plane define a dynamics with singularities and this leads to a Zermelo navigation problem describing the ship travel in such a field where the control is the heading angle. Considering one vortex, we define a time minimization problem which can be analyzed with the technics of geometric optimal control combined with numerical simulations, the geometric frame being the extension of Randers metrics in the punctured plane, with rotational symmetry. Candidates as minimizers are parameterized thanks to the Pontryagin Maximum Principle as extremal solutions of a Hamiltonian vector field. We analyze the time minimal solution to transfer the ship between two points where during the transfer the ship can be either in a strong current region in the vicinity of the vortex or in a weak current region. The analysis is based on a micro-local classification of the extremals using mainly the integrability properties of the dynamics due to the rotational symmetry. The discussion is complex and related to the existence of an isolated extremal (Reeb) circle due to the vortex singularity. The explicit computation of cut points where the extremal curves cease to be optimal is given and the spheres are described in the case where at the initial point the current is weak.</jats:p>","lang":"eng"}],"publication":"ESAIM: Control, Optimisation and Calculus of Variations","doi":"10.1051/cocv/2020058","language":[{"iso":"eng"}],"article_number":"S10","intvolume":"        27","date_updated":"2023-01-16T12:09:22Z","publication_status":"published","author":[{"full_name":"Bonnard, Bernard","last_name":"Bonnard","first_name":"Bernard"},{"full_name":"Cots, Olivier","first_name":"Olivier","last_name":"Cots"},{"id":"95394","full_name":"Wembe Moafo, Boris Edgar","first_name":"Boris Edgar","last_name":"Wembe Moafo"}],"publication_identifier":{"issn":["1292-8119","1262-3377"]},"title":"A Zermelo navigation problem with a vortex singularity","year":"2020","citation":{"bibtex":"@article{Bonnard_Cots_Wembe Moafo_2020, title={A Zermelo navigation problem with a vortex singularity}, volume={27}, DOI={<a href=\"https://doi.org/10.1051/cocv/2020058\">10.1051/cocv/2020058</a>}, number={S10}, journal={ESAIM: Control, Optimisation and Calculus of Variations}, publisher={EDP Sciences}, author={Bonnard, Bernard and Cots, Olivier and Wembe Moafo, Boris Edgar}, year={2020} }","chicago":"Bonnard, Bernard, Olivier Cots, and Boris Edgar Wembe Moafo. “A Zermelo Navigation Problem with a Vortex Singularity.” <i>ESAIM: Control, Optimisation and Calculus of Variations</i> 27 (2020). <a href=\"https://doi.org/10.1051/cocv/2020058\">https://doi.org/10.1051/cocv/2020058</a>.","ama":"Bonnard B, Cots O, Wembe Moafo BE. A Zermelo navigation problem with a vortex singularity. <i>ESAIM: Control, Optimisation and Calculus of Variations</i>. 2020;27. doi:<a href=\"https://doi.org/10.1051/cocv/2020058\">10.1051/cocv/2020058</a>","short":"B. Bonnard, O. Cots, B.E. Wembe Moafo, ESAIM: Control, Optimisation and Calculus of Variations 27 (2020).","ieee":"B. Bonnard, O. Cots, and B. E. Wembe Moafo, “A Zermelo navigation problem with a vortex singularity,” <i>ESAIM: Control, Optimisation and Calculus of Variations</i>, vol. 27, Art. no. S10, 2020, doi: <a href=\"https://doi.org/10.1051/cocv/2020058\">10.1051/cocv/2020058</a>.","apa":"Bonnard, B., Cots, O., &#38; Wembe Moafo, B. E. (2020). A Zermelo navigation problem with a vortex singularity. <i>ESAIM: Control, Optimisation and Calculus of Variations</i>, <i>27</i>, Article S10. <a href=\"https://doi.org/10.1051/cocv/2020058\">https://doi.org/10.1051/cocv/2020058</a>","mla":"Bonnard, Bernard, et al. “A Zermelo Navigation Problem with a Vortex Singularity.” <i>ESAIM: Control, Optimisation and Calculus of Variations</i>, vol. 27, S10, EDP Sciences, 2020, doi:<a href=\"https://doi.org/10.1051/cocv/2020058\">10.1051/cocv/2020058</a>."},"volume":27,"user_id":"95394","_id":"33866","publisher":"EDP Sciences","status":"public"},{"date_updated":"2023-06-09T15:33:34Z","publication_status":"published","intvolume":"        11","year":"2020","title":"Does Informational Equivalence Preserve Strategic Behavior? Experimental Results on Trockel’s Model of Selten’s Chain Store Story","author":[{"id":"72752","first_name":"Papatya","last_name":"Duman","full_name":"Duman, Papatya"}],"publication_identifier":{"issn":["2073-4336"]},"doi":"10.3390/g11010009","article_number":"9","language":[{"iso":"eng"}],"abstract":[{"text":"<jats:p>The purpose of this study is to experimentally test Trockel’s game, which is a modelling of the classical Chain Store Game (CSG), and determine whether one of the two theories of Equality and Deterrence may better account for the observed behavior. The CSG is an example of a simple game in extensive form where the actual behavior of well-informed players cannot be expected to agree with the clear results of game theoretical reasoning. To explain the disagreement between the theory and the expected behavior, Trockel’s game is proposed as an alternative modelling of the scenario. The existence of more than one equilibrium in Trockel’s game opens a door for reputation building. This study is the first attempt to experimentally test this alternative game with the same purpose. According to my data, there is some evidence in favor of both Equality and Deterrence Hypotheses. However, since the strategies compatible with the Equality Hypothesis are played more frequently, I observe some patterns which share the same intuition with the Deterrence Hypothesis.</jats:p>","lang":"eng"}],"issue":"1","publication":"Games","keyword":["Applied Mathematics","Statistics","Probability and Uncertainty","Statistics and Probability"],"type":"journal_article","date_created":"2023-06-09T15:31:17Z","status":"public","user_id":"72752","volume":11,"publisher":"MDPI AG","_id":"45561","citation":{"mla":"Duman, Papatya. “Does Informational Equivalence Preserve Strategic Behavior? Experimental Results on Trockel’s Model of Selten’s Chain Store Story.” <i>Games</i>, vol. 11, no. 1, 9, MDPI AG, 2020, doi:<a href=\"https://doi.org/10.3390/g11010009\">10.3390/g11010009</a>.","bibtex":"@article{Duman_2020, title={Does Informational Equivalence Preserve Strategic Behavior? Experimental Results on Trockel’s Model of Selten’s Chain Store Story}, volume={11}, DOI={<a href=\"https://doi.org/10.3390/g11010009\">10.3390/g11010009</a>}, number={19}, journal={Games}, publisher={MDPI AG}, author={Duman, Papatya}, year={2020} }","ama":"Duman P. Does Informational Equivalence Preserve Strategic Behavior? Experimental Results on Trockel’s Model of Selten’s Chain Store Story. <i>Games</i>. 2020;11(1). doi:<a href=\"https://doi.org/10.3390/g11010009\">10.3390/g11010009</a>","ieee":"P. Duman, “Does Informational Equivalence Preserve Strategic Behavior? Experimental Results on Trockel’s Model of Selten’s Chain Store Story,” <i>Games</i>, vol. 11, no. 1, Art. no. 9, 2020, doi: <a href=\"https://doi.org/10.3390/g11010009\">10.3390/g11010009</a>.","apa":"Duman, P. (2020). Does Informational Equivalence Preserve Strategic Behavior? Experimental Results on Trockel’s Model of Selten’s Chain Store Story. <i>Games</i>, <i>11</i>(1), Article 9. <a href=\"https://doi.org/10.3390/g11010009\">https://doi.org/10.3390/g11010009</a>","chicago":"Duman, Papatya. “Does Informational Equivalence Preserve Strategic Behavior? Experimental Results on Trockel’s Model of Selten’s Chain Store Story.” <i>Games</i> 11, no. 1 (2020). <a href=\"https://doi.org/10.3390/g11010009\">https://doi.org/10.3390/g11010009</a>.","short":"P. Duman, Games 11 (2020)."}},{"citation":{"apa":"Black, T. (2020). Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>30</i>(06), 1075–1117. <a href=\"https://doi.org/10.1142/s0218202520400072\">https://doi.org/10.1142/s0218202520400072</a>","ieee":"T. Black, “Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 30, no. 06, pp. 1075–1117, 2020, doi: <a href=\"https://doi.org/10.1142/s0218202520400072\">10.1142/s0218202520400072</a>.","chicago":"Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” <i>Mathematical Models and Methods in Applied Sciences</i> 30, no. 06 (2020): 1075–1117. <a href=\"https://doi.org/10.1142/s0218202520400072\">https://doi.org/10.1142/s0218202520400072</a>.","short":"T. Black, Mathematical Models and Methods in Applied Sciences 30 (2020) 1075–1117.","mla":"Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 30, no. 06, World Scientific Pub Co Pte Lt, 2020, pp. 1075–117, doi:<a href=\"https://doi.org/10.1142/s0218202520400072\">10.1142/s0218202520400072</a>.","ama":"Black T. Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. <i>Mathematical Models and Methods in Applied Sciences</i>. 2020;30(06):1075-1117. doi:<a href=\"https://doi.org/10.1142/s0218202520400072\">10.1142/s0218202520400072</a>","bibtex":"@article{Black_2020, title={Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties}, volume={30}, DOI={<a href=\"https://doi.org/10.1142/s0218202520400072\">10.1142/s0218202520400072</a>}, number={06}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Lt}, author={Black, Tobias}, year={2020}, pages={1075–1117} }"},"status":"public","publisher":"World Scientific Pub Co Pte Lt","_id":"34670","page":"1075-1117","volume":30,"user_id":"23686","issue":"06","publication":"Mathematical Models and Methods in Applied Sciences","date_created":"2022-12-21T09:48:11Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"keyword":["Applied Mathematics","Modeling and Simulation"],"type":"journal_article","author":[{"id":"23686","full_name":"Black, Tobias","last_name":"Black","orcid":"0000-0001-9963-0800","first_name":"Tobias"}],"publication_identifier":{"issn":["0218-2025","1793-6314"]},"title":"Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties","year":"2020","intvolume":"        30","date_updated":"2023-07-10T11:39:59Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1142/s0218202520400072"},{"volume":116,"user_id":"37157","publisher":"Wissenschaftliche Verlagsgesellschaft mbH","_id":"35953","page":"138-152","status":"public","citation":{"chicago":"Schwabl, Franziska, Elmar A. Janssen, and Peter F. E. Sloane. “Sprachsensible Formulierung von Erhebungsinstrumenten.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i> 116, no. 1 (2020): 138–52. <a href=\"https://doi.org/10.25162/zbw-2020-0005\">https://doi.org/10.25162/zbw-2020-0005</a>.","short":"F. Schwabl, E.A. Janssen, P.F.E. Sloane, Zeitschrift für Berufs- und Wirtschaftspädagogik 116 (2020) 138–152.","ieee":"F. Schwabl, E. A. Janssen, and P. F. E. Sloane, “Sprachsensible Formulierung von Erhebungsinstrumenten,” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 116, no. 1, pp. 138–152, 2020, doi: <a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>.","apa":"Schwabl, F., Janssen, E. A., &#38; Sloane, P. F. E. (2020). Sprachsensible Formulierung von Erhebungsinstrumenten. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, <i>116</i>(1), 138–152. <a href=\"https://doi.org/10.25162/zbw-2020-0005\">https://doi.org/10.25162/zbw-2020-0005</a>","bibtex":"@article{Schwabl_Janssen_Sloane_2020, title={Sprachsensible Formulierung von Erhebungsinstrumenten}, volume={116}, DOI={<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>}, number={1}, journal={Zeitschrift für Berufs- und Wirtschaftspädagogik}, publisher={Wissenschaftliche Verlagsgesellschaft mbH}, author={Schwabl, Franziska and Janssen, Elmar A. and Sloane, Peter F. E.}, year={2020}, pages={138–152} }","ama":"Schwabl F, Janssen EA, Sloane PFE. Sprachsensible Formulierung von Erhebungsinstrumenten. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>. 2020;116(1):138-152. doi:<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>","mla":"Schwabl, Franziska, et al. “Sprachsensible Formulierung von Erhebungsinstrumenten.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 116, no. 1, Wissenschaftliche Verlagsgesellschaft mbH, 2020, pp. 138–52, doi:<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>."},"alternative_title":["Exemplarisch veranschaulicht anhand der Validierung der für den Einsatz im berufsschulischen Übergangssystem reformulierten Fassung eines Fragebogens zur Selbsteinschätzung der Lerngewohnheiten. Illustrated by the validation of a questionnaire on reflecting learning habits, reformulated for the use in the German VET transition system"],"doi":"10.25162/zbw-2020-0005","language":[{"iso":"ger"}],"intvolume":"       116","publication_status":"published","date_updated":"2023-07-18T08:38:52Z","publication_identifier":{"issn":["0172-2875","2366-2433"]},"author":[{"first_name":"Franziska","last_name":"Schwabl","full_name":"Schwabl, Franziska","id":"37157"},{"first_name":"Elmar A.","last_name":"Janssen","full_name":"Janssen, Elmar A."},{"full_name":"Sloane, Peter F. E.","first_name":"Peter F. E.","last_name":"Sloane"}],"year":"2020","title":"Sprachsensible Formulierung von Erhebungsinstrumenten","department":[{"_id":"33"},{"_id":"208"}],"type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"date_created":"2023-01-11T09:42:16Z","issue":"1","publication":"Zeitschrift für Berufs- und Wirtschaftspädagogik"},{"citation":{"ieee":"F. Schwabl, E. Janssen, and P. F. E. Sloane, “Sprachsensible Formulierung von Erhebungsinstrumenten,” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 116, no. 1, pp. 138–152, 2020, doi: <a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>.","apa":"Schwabl, F., Janssen, E., &#38; Sloane, P. F. E. (2020). Sprachsensible Formulierung von Erhebungsinstrumenten. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, <i>116</i>(1), 138–152. <a href=\"https://doi.org/10.25162/zbw-2020-0005\">https://doi.org/10.25162/zbw-2020-0005</a>","short":"F. Schwabl, E. Janssen, P.F.E. Sloane, Zeitschrift für Berufs- und Wirtschaftspädagogik 116 (2020) 138–152.","chicago":"Schwabl, Franziska, Elmar Janssen, and Peter F. E. Sloane. “Sprachsensible Formulierung von Erhebungsinstrumenten.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i> 116, no. 1 (2020): 138–52. <a href=\"https://doi.org/10.25162/zbw-2020-0005\">https://doi.org/10.25162/zbw-2020-0005</a>.","mla":"Schwabl, Franziska, et al. “Sprachsensible Formulierung von Erhebungsinstrumenten.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 116, no. 1, Wissenschaftliche Verlagsgesellschaft mbH, 2020, pp. 138–52, doi:<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>.","bibtex":"@article{Schwabl_Janssen_Sloane_2020, title={Sprachsensible Formulierung von Erhebungsinstrumenten}, volume={116}, DOI={<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>}, number={1}, journal={Zeitschrift für Berufs- und Wirtschaftspädagogik}, publisher={Wissenschaftliche Verlagsgesellschaft mbH}, author={Schwabl, Franziska and Janssen, Elmar and Sloane, Peter F. E.}, year={2020}, pages={138–152} }","ama":"Schwabl F, Janssen E, Sloane PFE. Sprachsensible Formulierung von Erhebungsinstrumenten. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>. 2020;116(1):138-152. doi:<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>"},"status":"public","_id":"46581","publisher":"Wissenschaftliche Verlagsgesellschaft mbH","page":"138-152","volume":116,"user_id":"21192","publication":"Zeitschrift für Berufs- und Wirtschaftspädagogik","issue":"1","date_created":"2023-08-21T06:25:21Z","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"publication_identifier":{"issn":["0172-2875","2366-2433"]},"author":[{"first_name":"Franziska","last_name":"Schwabl","full_name":"Schwabl, Franziska"},{"full_name":"Janssen, Elmar","first_name":"Elmar","last_name":"Janssen","id":"21192"},{"full_name":"Sloane, Peter F. E.","last_name":"Sloane","first_name":"Peter F. E."}],"title":"Sprachsensible Formulierung von Erhebungsinstrumenten","year":"2020","intvolume":"       116","date_updated":"2023-08-21T11:00:29Z","publication_status":"published","language":[{"iso":"ger"}],"alternative_title":["Exemplarisch veranschaulicht anhand der Validierung der für den Einsatz im berufsschulischen Übergangssystem reformulierten Fassung eines Fragebogens zur Selbsteinschätzung der Lerngewohnheiten. Illustrated by the validation of a questionnaire on reflecting learning habits, reformulated for the use in the German VET transition system"],"doi":"10.25162/zbw-2020-0005"},{"citation":{"mla":"Biehler, Rolf, and Viviane Durand-Guerrier. “University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic.” <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger et al., University of Carthage and INDRUM, 2020, pp. 283–87.","bibtex":"@inbook{Biehler_Durand-Guerrier_2020, place={Bizerte, Tunisia}, title={University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic}, booktitle={Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)}, publisher={University of Carthage and INDRUM}, author={Biehler, Rolf and Durand-Guerrier, Viviane}, editor={Hausberger, T. and Bosch, M. and Chelloughi, F.}, year={2020}, pages={283–287} }","ama":"Biehler R, Durand-Guerrier V. University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic. In: Hausberger T, Bosch M, Chelloughi F, eds. <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>. University of Carthage and INDRUM; 2020:283-287.","ieee":"R. Biehler and V. Durand-Guerrier, “University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic,” in <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, T. Hausberger, M. Bosch, and F. Chelloughi, Eds. Bizerte, Tunisia: University of Carthage and INDRUM, 2020, pp. 283–287.","apa":"Biehler, R., &#38; Durand-Guerrier, V. (2020). University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic. In T. Hausberger, M. Bosch, &#38; F. Chelloughi (Eds.), <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i> (pp. 283–287). University of Carthage and INDRUM.","chicago":"Biehler, Rolf, and Viviane Durand-Guerrier. “University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic.” In <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger, M. Bosch, and F. Chelloughi, 283–87. Bizerte, Tunisia: University of Carthage and INDRUM, 2020.","short":"R. Biehler, V. Durand-Guerrier, in: T. Hausberger, M. Bosch, F. 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Black, Discrete &#38;amp; Continuous Dynamical Systems - S 13 (2019) 119–137.","apa":"Black, T. (2019). Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. <i>Discrete &#38;amp; Continuous Dynamical Systems - S</i>, <i>13</i>(2), 119–137. <a href=\"https://doi.org/10.3934/dcdss.2020007\">https://doi.org/10.3934/dcdss.2020007</a>","ieee":"T. Black, “Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity,” <i>Discrete &#38;amp; Continuous Dynamical Systems - S</i>, vol. 13, no. 2, pp. 119–137, 2019, doi: <a href=\"https://doi.org/10.3934/dcdss.2020007\">10.3934/dcdss.2020007</a>.","ama":"Black T. Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. <i>Discrete &#38;amp; Continuous Dynamical Systems - S</i>. 2019;13(2):119-137. doi:<a href=\"https://doi.org/10.3934/dcdss.2020007\">10.3934/dcdss.2020007</a>","bibtex":"@article{Black_2019, title={Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity}, volume={13}, DOI={<a href=\"https://doi.org/10.3934/dcdss.2020007\">10.3934/dcdss.2020007</a>}, number={2}, journal={Discrete &#38;amp; Continuous Dynamical Systems - S}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2019}, pages={119–137} }","mla":"Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel System with Singular Sensitivity.” <i>Discrete &#38;amp; Continuous Dynamical Systems - S</i>, vol. 13, no. 2, American Institute of Mathematical Sciences (AIMS), 2019, pp. 119–37, doi:<a href=\"https://doi.org/10.3934/dcdss.2020007\">10.3934/dcdss.2020007</a>."},"status":"public","volume":13,"user_id":"23686","_id":"34672","publisher":"American Institute of Mathematical Sciences (AIMS)","page":"119-137","issue":"2","publication":"Discrete &amp; Continuous Dynamical Systems - S","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics","Analysis"],"type":"journal_article","date_created":"2022-12-21T09:48:28Z","intvolume":"        13","date_updated":"2022-12-21T10:04:44Z","publication_status":"published","publication_identifier":{"issn":["1937-1179"]},"author":[{"full_name":"Black, Tobias","last_name":"Black","orcid":"0000-0001-9963-0800","first_name":"Tobias","id":"23686"}],"title":"Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity","year":"2019","doi":"10.3934/dcdss.2020007","language":[{"iso":"eng"}]},{"citation":{"mla":"Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System.” <i>Journal of Mathematical Fluid Mechanics</i>, vol. 22, no. 1, 1, Springer Science and Business Media LLC, 2019, doi:<a href=\"https://doi.org/10.1007/s00021-019-0464-z\">10.1007/s00021-019-0464-z</a>.","apa":"Black, T. (2019). The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System. <i>Journal of Mathematical Fluid Mechanics</i>, <i>22</i>(1), Article 1. <a href=\"https://doi.org/10.1007/s00021-019-0464-z\">https://doi.org/10.1007/s00021-019-0464-z</a>","ieee":"T. Black, “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System,” <i>Journal of Mathematical Fluid Mechanics</i>, vol. 22, no. 1, Art. no. 1, 2019, doi: <a href=\"https://doi.org/10.1007/s00021-019-0464-z\">10.1007/s00021-019-0464-z</a>.","short":"T. Black, Journal of Mathematical Fluid Mechanics 22 (2019).","ama":"Black T. The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System. <i>Journal of Mathematical Fluid Mechanics</i>. 2019;22(1). doi:<a href=\"https://doi.org/10.1007/s00021-019-0464-z\">10.1007/s00021-019-0464-z</a>","chicago":"Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System.” <i>Journal of Mathematical Fluid Mechanics</i> 22, no. 1 (2019). <a href=\"https://doi.org/10.1007/s00021-019-0464-z\">https://doi.org/10.1007/s00021-019-0464-z</a>.","bibtex":"@article{Black_2019, title={The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System}, volume={22}, DOI={<a href=\"https://doi.org/10.1007/s00021-019-0464-z\">10.1007/s00021-019-0464-z</a>}, number={11}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias}, year={2019} }"},"volume":22,"user_id":"23686","publisher":"Springer Science and Business Media LLC","_id":"34669","status":"public","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Condensed Matter Physics","Mathematical Physics"],"date_created":"2022-12-21T09:47:56Z","publication":"Journal of Mathematical Fluid Mechanics","issue":"1","doi":"10.1007/s00021-019-0464-z","language":[{"iso":"eng"}],"article_number":"1","intvolume":"        22","publication_status":"published","date_updated":"2022-12-21T10:04:29Z","publication_identifier":{"issn":["1422-6928","1422-6952"]},"author":[{"full_name":"Black, Tobias","last_name":"Black","first_name":"Tobias","orcid":"0000-0001-9963-0800","id":"23686"}],"title":"The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System","year":"2019"},{"citation":{"ieee":"T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions,” <i>Mathematical Methods in the Applied Sciences</i>, vol. 42, no. 9, pp. 3002–3020, 2019, doi: <a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>.","mla":"Black, Tobias, et al. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” <i>Mathematical Methods in the Applied Sciences</i>, vol. 42, no. 9, Wiley, 2019, pp. 3002–20, doi:<a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>.","apa":"Black, T., Lankeit, J., &#38; Mizukami, M. (2019). A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. <i>Mathematical Methods in the Applied Sciences</i>, <i>42</i>(9), 3002–3020. <a href=\"https://doi.org/10.1002/mma.5561\">https://doi.org/10.1002/mma.5561</a>","bibtex":"@article{Black_Lankeit_Mizukami_2019, title={A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions}, volume={42}, DOI={<a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>}, number={9}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={3002–3020} }","chicago":"Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” <i>Mathematical Methods in the Applied Sciences</i> 42, no. 9 (2019): 3002–20. <a href=\"https://doi.org/10.1002/mma.5561\">https://doi.org/10.1002/mma.5561</a>.","short":"T. Black, J. Lankeit, M. Mizukami, Mathematical Methods in the Applied Sciences 42 (2019) 3002–3020.","ama":"Black T, Lankeit J, Mizukami M. A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. <i>Mathematical Methods in the Applied Sciences</i>. 2019;42(9):3002-3020. doi:<a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>"},"status":"public","page":"3002-3020","_id":"34668","publisher":"Wiley","user_id":"23686","volume":42,"publication":"Mathematical Methods in the Applied Sciences","issue":"9","date_created":"2022-12-21T09:47:47Z","keyword":["General Engineering","General Mathematics"],"type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"year":"2019","title":"A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions","author":[{"full_name":"Black, Tobias","last_name":"Black","orcid":"0000-0001-9963-0800","first_name":"Tobias","id":"23686"},{"full_name":"Lankeit, Johannes","first_name":"Johannes","last_name":"Lankeit"},{"last_name":"Mizukami","first_name":"Masaaki","full_name":"Mizukami, Masaaki"}],"publication_identifier":{"issn":["0170-4214","1099-1476"]},"publication_status":"published","date_updated":"2022-12-21T10:04:36Z","intvolume":"        42","language":[{"iso":"eng"}],"doi":"10.1002/mma.5561"},{"citation":{"apa":"Black, T., Lankeit, J., &#38; Mizukami, M. (2019). Stabilization in the Keller–Segel system with signal-dependent sensitivity. <i>Applicable Analysis</i>, <i>99</i>(16), 2877–2891. <a href=\"https://doi.org/10.1080/00036811.2019.1585534\">https://doi.org/10.1080/00036811.2019.1585534</a>","mla":"Black, Tobias, et al. “Stabilization in the Keller–Segel System with Signal-Dependent Sensitivity.” <i>Applicable Analysis</i>, vol. 99, no. 16, Informa UK Limited, 2019, pp. 2877–91, doi:<a href=\"https://doi.org/10.1080/00036811.2019.1585534\">10.1080/00036811.2019.1585534</a>.","ieee":"T. Black, J. Lankeit, and M. Mizukami, “Stabilization in the Keller–Segel system with signal-dependent sensitivity,” <i>Applicable Analysis</i>, vol. 99, no. 16, pp. 2877–2891, 2019, doi: <a href=\"https://doi.org/10.1080/00036811.2019.1585534\">10.1080/00036811.2019.1585534</a>.","short":"T. Black, J. Lankeit, M. Mizukami, Applicable Analysis 99 (2019) 2877–2891.","ama":"Black T, Lankeit J, Mizukami M. Stabilization in the Keller–Segel system with signal-dependent sensitivity. <i>Applicable Analysis</i>. 2019;99(16):2877-2891. doi:<a href=\"https://doi.org/10.1080/00036811.2019.1585534\">10.1080/00036811.2019.1585534</a>","chicago":"Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Stabilization in the Keller–Segel System with Signal-Dependent Sensitivity.” <i>Applicable Analysis</i> 99, no. 16 (2019): 2877–91. <a href=\"https://doi.org/10.1080/00036811.2019.1585534\">https://doi.org/10.1080/00036811.2019.1585534</a>.","bibtex":"@article{Black_Lankeit_Mizukami_2019, title={Stabilization in the Keller–Segel system with signal-dependent sensitivity}, volume={99}, DOI={<a href=\"https://doi.org/10.1080/00036811.2019.1585534\">10.1080/00036811.2019.1585534</a>}, number={16}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={2877–2891} }"},"status":"public","page":"2877-2891","publisher":"Informa UK Limited","_id":"34671","user_id":"23686","volume":99,"issue":"16","publication":"Applicable Analysis","date_created":"2022-12-21T09:48:19Z","type":"journal_article","keyword":["Applied Mathematics","Analysis"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"year":"2019","title":"Stabilization in the Keller–Segel system with signal-dependent sensitivity","author":[{"id":"23686","full_name":"Black, Tobias","orcid":"0000-0001-9963-0800","last_name":"Black","first_name":"Tobias"},{"last_name":"Lankeit","first_name":"Johannes","full_name":"Lankeit, Johannes"},{"full_name":"Mizukami, Masaaki","last_name":"Mizukami","first_name":"Masaaki"}],"publication_identifier":{"issn":["0003-6811","1563-504X"]},"publication_status":"published","date_updated":"2022-12-21T10:04:50Z","intvolume":"        99","language":[{"iso":"eng"}],"doi":"10.1080/00036811.2019.1585534"},{"external_id":{"arxiv":["1512.00836"]},"citation":{"short":"S. Dyatlov, D. Borthwick, T. Weich, Journal of the European Mathematical Society 21 (2019) 1595–1639.","chicago":"Dyatlov, Semyon, David Borthwick, and Tobias Weich. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.” <i>Journal of the European Mathematical Society</i> 21, no. 6 (2019): 1595–1639. <a href=\"https://doi.org/10.4171/jems/867\">https://doi.org/10.4171/jems/867</a>.","apa":"Dyatlov, S., Borthwick, D., &#38; Weich, T. (2019). Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. <i>Journal of the European Mathematical Society</i>, <i>21</i>(6), 1595–1639. <a href=\"https://doi.org/10.4171/jems/867\">https://doi.org/10.4171/jems/867</a>","ieee":"S. Dyatlov, D. Borthwick, and T. Weich, “Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich,” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 6, pp. 1595–1639, 2019, doi: <a href=\"https://doi.org/10.4171/jems/867\">10.4171/jems/867</a>.","ama":"Dyatlov S, Borthwick D, Weich T. Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. <i>Journal of the European Mathematical Society</i>. 2019;21(6):1595-1639. doi:<a href=\"https://doi.org/10.4171/jems/867\">10.4171/jems/867</a>","bibtex":"@article{Dyatlov_Borthwick_Weich_2019, title={Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich}, volume={21}, DOI={<a href=\"https://doi.org/10.4171/jems/867\">10.4171/jems/867</a>}, number={6}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Dyatlov, Semyon and Borthwick, David and Weich, Tobias}, year={2019}, pages={1595–1639} }","mla":"Dyatlov, Semyon, et al. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2019, pp. 1595–639, doi:<a href=\"https://doi.org/10.4171/jems/867\">10.4171/jems/867</a>."},"user_id":"49178","volume":21,"page":"1595-1639","publisher":"European Mathematical Society - EMS - Publishing House GmbH","_id":"31265","status":"public","keyword":["Applied Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"date_created":"2022-05-17T12:06:41Z","publication":"Journal of the European Mathematical Society","issue":"6","doi":"10.4171/jems/867","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2022-05-19T10:12:59Z","intvolume":"        21","year":"2019","title":"Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich","author":[{"last_name":"Dyatlov","first_name":"Semyon","full_name":"Dyatlov, Semyon"},{"full_name":"Borthwick, David","last_name":"Borthwick","first_name":"David"},{"orcid":"0000-0002-9648-6919","last_name":"Weich","first_name":"Tobias","full_name":"Weich, Tobias","id":"49178"}],"publication_identifier":{"issn":["1435-9855"]}},{"_id":"32489","publisher":"IOP Publishing","user_id":"94996","volume":30,"status":"public","citation":{"chicago":"Oketch, Peter Obara, Munko Gonchikzhapov, Ulf Bergmann, and Burak Atakan. “Thermographic Phosphor Heat Flux Measurements of Laminar Methane/Air Flame Impinging on a Cylindrical Surface.” <i>Measurement Science and Technology</i> 30, no. 9 (2019). <a href=\"https://doi.org/10.1088/1361-6501/ab217e\">https://doi.org/10.1088/1361-6501/ab217e</a>.","short":"P.O. Oketch, M. Gonchikzhapov, U. Bergmann, B. Atakan, Measurement Science and Technology 30 (2019).","ama":"Oketch PO, Gonchikzhapov M, Bergmann U, Atakan B. Thermographic phosphor heat flux measurements of laminar methane/air flame impinging on a cylindrical surface. <i>Measurement Science and Technology</i>. 2019;30(9). doi:<a href=\"https://doi.org/10.1088/1361-6501/ab217e\">10.1088/1361-6501/ab217e</a>","bibtex":"@article{Oketch_Gonchikzhapov_Bergmann_Atakan_2019, title={Thermographic phosphor heat flux measurements of laminar methane/air flame impinging on a cylindrical surface}, volume={30}, DOI={<a href=\"https://doi.org/10.1088/1361-6501/ab217e\">10.1088/1361-6501/ab217e</a>}, number={9094003}, journal={Measurement Science and Technology}, publisher={IOP Publishing}, author={Oketch, Peter Obara and Gonchikzhapov, Munko and Bergmann, Ulf and Atakan, Burak}, year={2019} }","mla":"Oketch, Peter Obara, et al. “Thermographic Phosphor Heat Flux Measurements of Laminar Methane/Air Flame Impinging on a Cylindrical Surface.” <i>Measurement Science and Technology</i>, vol. 30, no. 9, 094003, IOP Publishing, 2019, doi:<a href=\"https://doi.org/10.1088/1361-6501/ab217e\">10.1088/1361-6501/ab217e</a>.","apa":"Oketch, P. O., Gonchikzhapov, M., Bergmann, U., &#38; Atakan, B. (2019). Thermographic phosphor heat flux measurements of laminar methane/air flame impinging on a cylindrical surface. <i>Measurement Science and Technology</i>, <i>30</i>(9), Article 094003. <a href=\"https://doi.org/10.1088/1361-6501/ab217e\">https://doi.org/10.1088/1361-6501/ab217e</a>","ieee":"P. O. Oketch, M. Gonchikzhapov, U. Bergmann, and B. Atakan, “Thermographic phosphor heat flux measurements of laminar methane/air flame impinging on a cylindrical surface,” <i>Measurement Science and Technology</i>, vol. 30, no. 9, Art. no. 094003, 2019, doi: <a href=\"https://doi.org/10.1088/1361-6501/ab217e\">10.1088/1361-6501/ab217e</a>."},"article_number":"094003","doi":"10.1088/1361-6501/ab217e","title":"Thermographic phosphor heat flux measurements of laminar methane/air flame impinging on a cylindrical surface","year":"2019","publication_identifier":{"issn":["0957-0233","1361-6501"]},"author":[{"full_name":"Oketch, Peter Obara","last_name":"Oketch","first_name":"Peter Obara"},{"full_name":"Gonchikzhapov, Munko","first_name":"Munko","last_name":"Gonchikzhapov"},{"first_name":"Ulf","last_name":"Bergmann","full_name":"Bergmann, Ulf"},{"first_name":"Burak","last_name":"Atakan","full_name":"Atakan, Burak"}],"publication_status":"published","date_updated":"2022-08-15T13:53:14Z","intvolume":"        30","date_created":"2022-08-02T10:21:24Z","type":"journal_article","keyword":["Applied Mathematics","Instrumentation","Engineering (miscellaneous)"],"publication":"Measurement Science and Technology","issue":"9","abstract":[{"text":"<jats:title>Abstract</jats:title>\n               <jats:p>The stagnation point heat fluxes of methane/air flames impinging normal on a cylindrical surface were determined experimentally. Light induced phosphorescence from thermographic phosphors was used to investigate surface temperatures at the stagnation point from a nearly 1D laminar premixed flame burning against a water-cooled ceramic tube. The ceramic tube was coated with 1.1% chromium-doped alumina (ruby) at the impingement area and excited with a green light-emitting diode (LED) to measure the surface temperature. The flame temperature profiles were also measured with a thermocouple of type R (Pt/Pt  +  13% Rh). Effects on variations in cold gas velocity (0.1 m s<jats:sup>−1</jats:sup>–0.5 m s<jats:sup>−1</jats:sup>) relative to the flame speed, equivalence ratio (Ф  =  0.85–1.2), burner to impingement surface spacing (<jats:italic>H</jats:italic>/<jats:italic>d</jats:italic>  =  0.5–2) and surface curvature are reported. The stagnation point heat fluxes are strongly influenced by the flame stabilization mechanism, which changes from burner to wall stabilization, which also is seen from the measured flame temperature profiles. Increasing the cold gas velocity of the reactants leads to higher stagnation point heat fluxes. In addition, decreasing the distance between the burner and impingement surface increases the heat flux, with higher heat fluxes recorded for a tube compared to a flat plate.</jats:p>","lang":"eng"}]},{"status":"public","publisher":"Springer Science and Business Media LLC","_id":"45948","page":"797-853","volume":143,"user_id":"100441","citation":{"chicago":"Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving Finite Element Algorithm for Mean Curvature Flow of Closed Surfaces.” <i>Numerische Mathematik</i> 143, no. 4 (2019): 797–853. <a href=\"https://doi.org/10.1007/s00211-019-01074-2\">https://doi.org/10.1007/s00211-019-01074-2</a>.","short":"B. Kovács, B. Li, C. Lubich, Numerische Mathematik 143 (2019) 797–853.","ieee":"B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm for mean curvature flow of closed surfaces,” <i>Numerische Mathematik</i>, vol. 143, no. 4, pp. 797–853, 2019, doi: <a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>.","apa":"Kovács, B., Li, B., &#38; Lubich, C. (2019). A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. <i>Numerische Mathematik</i>, <i>143</i>(4), 797–853. <a href=\"https://doi.org/10.1007/s00211-019-01074-2\">https://doi.org/10.1007/s00211-019-01074-2</a>","bibtex":"@article{Kovács_Li_Lubich_2019, title={A convergent evolving finite element algorithm for mean curvature flow of closed surfaces}, volume={143}, DOI={<a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2019}, pages={797–853} }","ama":"Kovács B, Li B, Lubich C. A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. <i>Numerische Mathematik</i>. 2019;143(4):797-853. doi:<a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>","mla":"Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for Mean Curvature Flow of Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 143, no. 4, Springer Science and Business Media LLC, 2019, pp. 797–853, doi:<a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>."},"author":[{"full_name":"Kovács, Balázs","last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","id":"100441"},{"full_name":"Li, Buyang","first_name":"Buyang","last_name":"Li"},{"full_name":"Lubich, Christian","first_name":"Christian","last_name":"Lubich"}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"title":"A convergent evolving finite element algorithm for mean curvature flow of closed surfaces","year":"2019","intvolume":"       143","date_updated":"2024-04-03T09:21:40Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/s00211-019-01074-2","publication":"Numerische Mathematik","issue":"4","date_created":"2023-07-10T11:40:56Z","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"]},{"intvolume":"      2021","date_updated":"2024-04-11T12:36:33Z","publication_status":"published","author":[{"first_name":"Benjamin","last_name":"Küster","full_name":"Küster, Benjamin"},{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"year":"2019","title":"Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces","doi":"10.1093/imrn/rnz068","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>For a compact Riemannian locally symmetric space $\\mathcal M$ of rank 1 and an associated vector bundle $\\mathbf V_{\\tau }$ over the unit cosphere bundle $S^{\\ast }\\mathcal M$, we give a precise description of those classical (Pollicott–Ruelle) resonant states on $\\mathbf V_{\\tau }$ that vanish under covariant derivatives in the Anosov-unstable directions of the chaotic geodesic flow on $S^{\\ast }\\mathcal M$. In particular, we show that they are isomorphically mapped by natural pushforwards into generalized common eigenspaces of the algebra of invariant differential operators $D(G,\\sigma )$ on compatible associated vector bundles $\\mathbf W_{\\sigma }$ over $\\mathcal M$. As a consequence of this description, we obtain an exact band structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions on the representations $\\tau$ and $\\sigma$ defining the bundles $\\mathbf V_{\\tau }$ and $\\mathbf W_{\\sigma }$, we obtain a very explicit description of the generalized common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections of $\\mathbf W_{\\sigma }$. Our methods of proof are based on representation theory and Lie theory.</jats:p>"}],"publication":"International Mathematics Research Notices","issue":"11","department":[{"_id":"548"}],"type":"journal_article","keyword":["General Mathematics"],"date_created":"2024-04-11T12:33:46Z","status":"public","volume":2021,"user_id":"70575","publisher":"Oxford University Press (OUP)","_id":"53416","page":"8225-8296","citation":{"short":"B. Küster, T. Weich, International Mathematics Research Notices 2021 (2019) 8225–8296.","chicago":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i> 2021, no. 11 (2019): 8225–96. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>.","ieee":"B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces,” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, pp. 8225–8296, 2019, doi: <a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>.","apa":"Küster, B., &#38; Weich, T. (2019). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>, <i>2021</i>(11), 8225–8296. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>","bibtex":"@article{Küster_Weich_2019, title={Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2019}, pages={8225–8296} }","ama":"Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>. 2019;2021(11):8225-8296. doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>","mla":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, Oxford University Press (OUP), 2019, pp. 8225–96, doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>."}},{"citation":{"chicago":"Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of Lexical Trace Analyses.” <i>Mathematics Education Research Journal</i> 32, no. 4 (2019): 653–81. <a href=\"https://doi.org/10.1007/s13394-019-00284-z\">https://doi.org/10.1007/s13394-019-00284-z</a>.","short":"L. Wessel, Mathematics Education Research Journal 32 (2019) 653–681.","apa":"Wessel, L. (2019). Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses. <i>Mathematics Education Research Journal</i>, <i>32</i>(4), 653–681. <a href=\"https://doi.org/10.1007/s13394-019-00284-z\">https://doi.org/10.1007/s13394-019-00284-z</a>","ieee":"L. Wessel, “Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses,” <i>Mathematics Education Research Journal</i>, vol. 32, no. 4, pp. 653–681, 2019, doi: <a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>.","ama":"Wessel L. Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses. <i>Mathematics Education Research Journal</i>. 2019;32(4):653-681. doi:<a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>","bibtex":"@article{Wessel_2019, title={Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses}, volume={32}, DOI={<a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>}, number={4}, journal={Mathematics Education Research Journal}, publisher={Springer Science and Business Media LLC}, author={Wessel, Lena}, year={2019}, pages={653–681} }","mla":"Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of Lexical Trace Analyses.” <i>Mathematics Education Research Journal</i>, vol. 32, no. 4, Springer Science and Business Media LLC, 2019, pp. 653–81, doi:<a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>."},"status":"public","page":"653-681","publisher":"Springer Science and Business Media LLC","_id":"46156","user_id":"37888","volume":32,"issue":"4","publication":"Mathematics Education Research Journal","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Although the teaching of vocabulary in mathematics lessons is requested in content- and language-integrated lesson designs, the clarification of the specific lexical language demands is still an open question for many mathematical topics. In a content- and language-integrated lesson design towards understanding the concept of equivalent fractions, the vocabulary (words and phrases) used by 17 students has been analyzed with qualitative means of data analysis. The qualitative in-depth analyses underline the importance of meaning-related vocabulary for making structural relations between the fractions in view explicit. Quantitative analyses of inventoried vocabulary for the four categories “self-initiated by students,” “triggered by teaching material,” “triggered by teacher,” or “triggered by peers” show the relations of collective and autonomous vocabularies from which the students retrieve their lexical means in oral and written language production.</jats:p>","lang":"eng"}],"date_created":"2023-07-26T10:03:33Z","type":"journal_article","keyword":["Education","General Mathematics"],"department":[{"_id":"643"}],"year":"2019","title":"Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses","author":[{"full_name":"Wessel, Lena","last_name":"Wessel","first_name":"Lena","id":"85190"}],"publication_identifier":{"issn":["1033-2170","2211-050X"]},"date_updated":"2024-04-18T09:01:40Z","publication_status":"published","intvolume":"        32","language":[{"iso":"eng"}],"doi":"10.1007/s13394-019-00284-z"},{"citation":{"ieee":"R. Barwell, L. Wessel, and A. Parra, “Language diversity and mathematics education: new developments,” <i>Research in Mathematics Education</i>, vol. 21, no. 2, pp. 113–118, 2019, doi: <a href=\"https://doi.org/10.1080/14794802.2019.1638824\">10.1080/14794802.2019.1638824</a>.","apa":"Barwell, R., Wessel, L., &#38; Parra, A. (2019). Language diversity and mathematics education: new developments. <i>Research in Mathematics Education</i>, <i>21</i>(2), 113–118. <a href=\"https://doi.org/10.1080/14794802.2019.1638824\">https://doi.org/10.1080/14794802.2019.1638824</a>","chicago":"Barwell, Richard, Lena Wessel, and Aldo Parra. “Language Diversity and Mathematics Education: New Developments.” <i>Research in Mathematics Education</i> 21, no. 2 (2019): 113–18. <a href=\"https://doi.org/10.1080/14794802.2019.1638824\">https://doi.org/10.1080/14794802.2019.1638824</a>.","short":"R. Barwell, L. Wessel, A. Parra, Research in Mathematics Education 21 (2019) 113–118.","mla":"Barwell, Richard, et al. “Language Diversity and Mathematics Education: New Developments.” <i>Research in Mathematics Education</i>, vol. 21, no. 2, Informa UK Limited, 2019, pp. 113–18, doi:<a href=\"https://doi.org/10.1080/14794802.2019.1638824\">10.1080/14794802.2019.1638824</a>.","bibtex":"@article{Barwell_Wessel_Parra_2019, title={Language diversity and mathematics education: new developments}, volume={21}, DOI={<a href=\"https://doi.org/10.1080/14794802.2019.1638824\">10.1080/14794802.2019.1638824</a>}, number={2}, journal={Research in Mathematics Education}, publisher={Informa UK Limited}, author={Barwell, Richard and Wessel, Lena and Parra, Aldo}, year={2019}, pages={113–118} }","ama":"Barwell R, Wessel L, Parra A. Language diversity and mathematics education: new developments. <i>Research in Mathematics Education</i>. 2019;21(2):113-118. doi:<a href=\"https://doi.org/10.1080/14794802.2019.1638824\">10.1080/14794802.2019.1638824</a>"},"status":"public","volume":21,"user_id":"37888","_id":"48324","publisher":"Informa UK Limited","page":"113-118","publication":"Research in Mathematics Education","issue":"2","department":[{"_id":"643"}],"type":"journal_article","keyword":["General Mathematics","Education"],"date_created":"2023-10-19T09:32:44Z","intvolume":"        21","date_updated":"2024-04-18T09:18:58Z","publication_status":"published","author":[{"full_name":"Barwell, Richard","first_name":"Richard","last_name":"Barwell"},{"first_name":"Lena","last_name":"Wessel","full_name":"Wessel, Lena","id":"85190"},{"first_name":"Aldo","last_name":"Parra","full_name":"Parra, Aldo"}],"publication_identifier":{"issn":["1479-4802","1754-0178"]},"title":"Language diversity and mathematics education: new developments","year":"2019","doi":"10.1080/14794802.2019.1638824","language":[{"iso":"eng"}]},{"citation":{"ieee":"M. Kirschmer, “Determinant groups of Hermitian lattices over local fields,” <i>Archiv der Mathematik</i>, vol. 113, no. 4, pp. 337–347, 2019, doi: <a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>.","apa":"Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields. <i>Archiv Der Mathematik</i>, <i>113</i>(4), 337–347. <a href=\"https://doi.org/10.1007/s00013-019-01348-z\">https://doi.org/10.1007/s00013-019-01348-z</a>","chicago":"Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” <i>Archiv Der Mathematik</i> 113, no. 4 (2019): 337–47. <a href=\"https://doi.org/10.1007/s00013-019-01348-z\">https://doi.org/10.1007/s00013-019-01348-z</a>.","short":"M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.","mla":"Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” <i>Archiv Der Mathematik</i>, vol. 113, no. 4, Springer Science and Business Media LLC, 2019, pp. 337–47, doi:<a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>.","bibtex":"@article{Kirschmer_2019, title={Determinant groups of Hermitian lattices over local fields}, volume={113}, DOI={<a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>}, number={4}, journal={Archiv der Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kirschmer, Markus}, year={2019}, pages={337–347} }","ama":"Kirschmer M. Determinant groups of Hermitian lattices over local fields. <i>Archiv der Mathematik</i>. 2019;113(4):337-347. doi:<a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>"},"volume":113,"user_id":"93826","publisher":"Springer Science and Business Media LLC","_id":"34915","page":"337-347","status":"public","department":[{"_id":"102"}],"keyword":["General Mathematics"],"type":"journal_article","date_created":"2022-12-23T11:03:41Z","abstract":[{"text":"We describe the determinants of the automorphism groups of Hermitian lattices over local fields. Using a result of G. Shimura, this yields an explicit method to compute the special genera in a given genus of Hermitian lattices over a number field.","lang":"eng"}],"publication":"Archiv der Mathematik","issue":"4","doi":"10.1007/s00013-019-01348-z","language":[{"iso":"eng"}],"intvolume":"       113","publication_status":"published","date_updated":"2023-04-04T09:05:04Z","publication_identifier":{"issn":["0003-889X","1420-8938"]},"author":[{"first_name":"Markus","last_name":"Kirschmer","full_name":"Kirschmer, Markus","id":"82258"}],"title":"Determinant groups of Hermitian lattices over local fields","year":"2019"},{"status":"public","user_id":"23686","volume":50,"page":"4087-4116","publisher":"Society for Industrial & Applied Mathematics (SIAM)","_id":"34664","citation":{"mla":"Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 4, Society for Industrial &#38; Applied Mathematics (SIAM), 2018, pp. 4087–116, doi:<a href=\"https://doi.org/10.1137/17m1159488\">10.1137/17m1159488</a>.","bibtex":"@article{Black_2018, title={Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion}, volume={50}, DOI={<a href=\"https://doi.org/10.1137/17m1159488\">10.1137/17m1159488</a>}, number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Black, Tobias}, year={2018}, pages={4087–4116} }","ama":"Black T. Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion. <i>SIAM Journal on Mathematical Analysis</i>. 2018;50(4):4087-4116. doi:<a href=\"https://doi.org/10.1137/17m1159488\">10.1137/17m1159488</a>","ieee":"T. Black, “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 4, pp. 4087–4116, 2018, doi: <a href=\"https://doi.org/10.1137/17m1159488\">10.1137/17m1159488</a>.","apa":"Black, T. (2018). Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion. <i>SIAM Journal on Mathematical Analysis</i>, <i>50</i>(4), 4087–4116. <a href=\"https://doi.org/10.1137/17m1159488\">https://doi.org/10.1137/17m1159488</a>","chicago":"Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion.” <i>SIAM Journal on Mathematical Analysis</i> 50, no. 4 (2018): 4087–4116. <a href=\"https://doi.org/10.1137/17m1159488\">https://doi.org/10.1137/17m1159488</a>.","short":"T. Black, SIAM Journal on Mathematical Analysis 50 (2018) 4087–4116."},"publication_status":"published","date_updated":"2022-12-21T10:04:57Z","intvolume":"        50","year":"2018","title":"Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion","publication_identifier":{"issn":["0036-1410","1095-7154"]},"author":[{"last_name":"Black","orcid":"0000-0001-9963-0800","first_name":"Tobias","full_name":"Black, Tobias","id":"23686"}],"doi":"10.1137/17m1159488","language":[{"iso":"eng"}],"issue":"4","publication":"SIAM Journal on Mathematical Analysis","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2022-12-21T09:47:01Z"},{"user_id":"23686","volume":265,"page":"2296-2339","publisher":"Elsevier BV","_id":"34666","status":"public","citation":{"mla":"Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular Chemotaxis-Stokes System in 2D.” <i>Journal of Differential Equations</i>, vol. 265, no. 5, Elsevier BV, 2018, pp. 2296–339, doi:<a href=\"https://doi.org/10.1016/j.jde.2018.04.035\">10.1016/j.jde.2018.04.035</a>.","ama":"Black T. Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D. <i>Journal of Differential Equations</i>. 2018;265(5):2296-2339. doi:<a href=\"https://doi.org/10.1016/j.jde.2018.04.035\">10.1016/j.jde.2018.04.035</a>","bibtex":"@article{Black_2018, title={Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D}, volume={265}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2018.04.035\">10.1016/j.jde.2018.04.035</a>}, number={5}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Black, Tobias}, year={2018}, pages={2296–2339} }","apa":"Black, T. (2018). Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D. <i>Journal of Differential Equations</i>, <i>265</i>(5), 2296–2339. <a href=\"https://doi.org/10.1016/j.jde.2018.04.035\">https://doi.org/10.1016/j.jde.2018.04.035</a>","ieee":"T. Black, “Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D,” <i>Journal of Differential Equations</i>, vol. 265, no. 5, pp. 2296–2339, 2018, doi: <a href=\"https://doi.org/10.1016/j.jde.2018.04.035\">10.1016/j.jde.2018.04.035</a>.","chicago":"Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular Chemotaxis-Stokes System in 2D.” <i>Journal of Differential Equations</i> 265, no. 5 (2018): 2296–2339. <a href=\"https://doi.org/10.1016/j.jde.2018.04.035\">https://doi.org/10.1016/j.jde.2018.04.035</a>.","short":"T. Black, Journal of Differential Equations 265 (2018) 2296–2339."},"doi":"10.1016/j.jde.2018.04.035","language":[{"iso":"eng"}],"date_updated":"2022-12-21T10:05:11Z","publication_status":"published","intvolume":"       265","year":"2018","title":"Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D","author":[{"first_name":"Tobias","orcid":"0000-0001-9963-0800","last_name":"Black","full_name":"Black, Tobias","id":"23686"}],"publication_identifier":{"issn":["0022-0396"]},"keyword":["Analysis","Applied Mathematics"],"type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2022-12-21T09:47:19Z","issue":"5","publication":"Journal of Differential Equations"},{"citation":{"mla":"Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” <i>Nonlinear Analysis</i>, vol. 180, Elsevier BV, 2018, pp. 129–53, doi:<a href=\"https://doi.org/10.1016/j.na.2018.10.003\">10.1016/j.na.2018.10.003</a>.","ama":"Black T. Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. <i>Nonlinear Analysis</i>. 2018;180:129-153. doi:<a href=\"https://doi.org/10.1016/j.na.2018.10.003\">10.1016/j.na.2018.10.003</a>","bibtex":"@article{Black_2018, title={Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions}, volume={180}, DOI={<a href=\"https://doi.org/10.1016/j.na.2018.10.003\">10.1016/j.na.2018.10.003</a>}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Black, Tobias}, year={2018}, pages={129–153} }","apa":"Black, T. (2018). Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. <i>Nonlinear Analysis</i>, <i>180</i>, 129–153. <a href=\"https://doi.org/10.1016/j.na.2018.10.003\">https://doi.org/10.1016/j.na.2018.10.003</a>","ieee":"T. Black, “Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions,” <i>Nonlinear Analysis</i>, vol. 180, pp. 129–153, 2018, doi: <a href=\"https://doi.org/10.1016/j.na.2018.10.003\">10.1016/j.na.2018.10.003</a>.","chicago":"Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” <i>Nonlinear Analysis</i> 180 (2018): 129–53. <a href=\"https://doi.org/10.1016/j.na.2018.10.003\">https://doi.org/10.1016/j.na.2018.10.003</a>.","short":"T. Black, Nonlinear Analysis 180 (2018) 129–153."},"status":"public","user_id":"23686","volume":180,"page":"129-153","_id":"34667","publisher":"Elsevier BV","publication":"Nonlinear Analysis","type":"journal_article","keyword":["Applied Mathematics","Analysis"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2022-12-21T09:47:30Z","date_updated":"2022-12-21T10:05:04Z","publication_status":"published","intvolume":"       180","year":"2018","title":"Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions","author":[{"last_name":"Black","first_name":"Tobias","orcid":"0000-0001-9963-0800","full_name":"Black, Tobias","id":"23686"}],"publication_identifier":{"issn":["0362-546X"]},"doi":"10.1016/j.na.2018.10.003","language":[{"iso":"eng"}]}]