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Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. 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Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2022;63.","apa":"Winkler, M. (2022). Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications, 63, Article 103407.","chicago":"Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in a Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications 63 (2022).","ieee":"M. Winkler, “Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.,” Nonlinear Analysis: Real World Applications, vol. 63, Art. no. 103407, 2022.","short":"M. Winkler, Nonlinear Analysis: Real World Applications 63 (2022)."},"year":"2022","language":[{"iso":"eng"}],"article_number":"103407","_id":"35597","date_updated":"2023-01-20T13:17:16Z","intvolume":" 63","volume":63,"date_created":"2023-01-09T17:03:24Z","status":"public","publication":"Nonlinear Analysis: Real World Applications","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"author":[{"full_name":"Winkler, Michael","first_name":"Michael","id":"31496","last_name":"Winkler"}],"title":"Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.","user_id":"15645"},{"intvolume":" 295","_id":"35598","date_updated":"2023-01-20T13:17:12Z","language":[{"iso":"eng"}],"type":"journal_article","citation":{"apa":"Winkler, M. (2022). A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\\infty$ estimates for taxis gradients. 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Mathematische Nachrichten. 2022;295:1840-1862.","chicago":"Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type Cross-Diffusion Systems via Conditional $L^\\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten 295 (2022): 1840–62.","mla":"Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type Cross-Diffusion Systems via Conditional $L^\\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten, vol. 295, 2022, pp. 1840–62.","bibtex":"@article{Winkler_2022, title={A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\\infty$ estimates for taxis gradients.}, volume={295}, journal={Mathematische Nachrichten}, author={Winkler, Michael}, year={2022}, pages={1840–1862} }","short":"M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.","ieee":"M. Winkler, “A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\\infty$ estimates for taxis gradients.,” Mathematische Nachrichten, vol. 295, pp. 1840–1862, 2022."},"year":"2022","page":"1840-1862","user_id":"15645","title":"A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\\infty$ estimates for taxis gradients.","author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Mathematische Nachrichten","status":"public","date_created":"2023-01-09T17:10:38Z","volume":295},{"year":"2022","citation":{"bibtex":"@article{Winkler_2022, title={Oscillatory decay in a degenerate parabolic equation.}, volume={3}, number={47}, journal={Partial Differential Equations and Applications}, author={Winkler, Michael}, year={2022} }","mla":"Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications, vol. 3, 47, 2022.","apa":"Winkler, M. 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Winkler, Partial Differential Equations and Applications 3 (2022)."},"type":"journal_article","language":[{"iso":"eng"}],"date_updated":"2023-01-20T13:17:04Z","_id":"35600","intvolume":" 3","article_number":"47","author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Partial Differential Equations and Applications","volume":3,"status":"public","date_created":"2023-01-09T17:21:36Z","title":"Oscillatory decay in a degenerate parabolic equation.","user_id":"15645"},{"author":[{"last_name":"Winkler","id":"31496","first_name":"Michael","full_name":"Winkler, Michael"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Indiana University Mathematics Journal","volume":7,"status":"public","date_created":"2023-01-09T16:49:13Z","title":"A critical blow-up exponent for flux limitation in a Keller-Segel system","user_id":"15645","type":"journal_article","year":"2022","citation":{"ieee":"M. Winkler, “A critical blow-up exponent for flux limitation in a Keller-Segel system,” Indiana University Mathematics Journal, vol. 7, pp. 1437–1465, 2022.","short":"M. Winkler, Indiana University Mathematics Journal 7 (2022) 1437–1465.","mla":"Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel System.” Indiana University Mathematics Journal, vol. 7, 2022, pp. 1437–65.","bibtex":"@article{Winkler_2022, title={A critical blow-up exponent for flux limitation in a Keller-Segel system}, volume={7}, journal={Indiana University Mathematics Journal}, author={Winkler, Michael}, year={2022}, pages={1437–1465} }","chicago":"Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel System.” Indiana University Mathematics Journal 7 (2022): 1437–65.","apa":"Winkler, M. (2022). A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal, 7, 1437–1465.","ama":"Winkler M. 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Winkler, “Unlimited growth in logarithmic Keller-Segel systems,” Journal of Differential Equations, vol. 309, pp. 74–97, 2022.","chicago":"Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations 309 (2022): 74–97.","ama":"Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2022;309:74-97.","apa":"Winkler, M. (2022). Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations, 309, 74–97.","bibtex":"@article{Winkler_2022, title={Unlimited growth in logarithmic Keller-Segel systems}, volume={309}, journal={Journal of Differential Equations}, author={Winkler, Michael}, year={2022}, pages={74–97} }","mla":"Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations, vol. 309, 2022, pp. 74–97."},"page":"74-97"},{"date_updated":"2023-01-20T13:18:15Z","_id":"35528","intvolume":" 35","language":[{"iso":"eng"}],"page":"719-749","type":"journal_article","citation":{"ieee":"J. Lankeit and M. Winkler, “Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary,” Nonlinearity, vol. 35, pp. 719–749, 2022.","short":"J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.","bibtex":"@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }","mla":"Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity, vol. 35, 2022, pp. 719–49.","chicago":"Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity 35 (2022): 719–49.","apa":"Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity, 35, 719–749.","ama":"Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. 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Winkler, Communications in Mathematical Physics 389 (2022) 439–489.","ieee":"M. Winkler, “Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.,” Communications in Mathematical Physics, vol. 389, pp. 439–489, 2022.","ama":"Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489.","apa":"Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics, 389, 439–489.","chicago":"Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.","bibtex":"@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }","mla":"Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp. 439–89."},"type":"journal_article","page":"439-489","language":[{"iso":"eng"}]},{"_id":"35574","intvolume":" 124","date_updated":"2023-01-20T13:17:33Z","language":[{"iso":"eng"}],"page":"133-181","citation":{"ieee":"M. Winkler, “A family of mass-critical Keller-Segel systems.,” Proceedings of the London Mathematical Society, vol. 124, pp. 133–181, 2022.","short":"M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.","bibtex":"@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.}, volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler, Michael}, year={2022}, pages={133–181} }","mla":"Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society, vol. 124, 2022, pp. 133–81.","chicago":"Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society 124 (2022): 133–81.","apa":"Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society, 124, 133–181.","ama":"Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181."},"type":"journal_article","year":"2022","user_id":"15645","title":"A family of mass-critical Keller-Segel systems.","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Proceedings of the London Mathematical Society","author":[{"id":"31496","last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"date_created":"2023-01-09T16:35:09Z","status":"public","volume":124},{"title":"Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary","publication_identifier":{"issn":["0218-2025","1793-6314"]},"publication_status":"published","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"doi":"10.1142/s021820252250004x","date_updated":"2023-01-20T13:18:30Z","language":[{"iso":"eng"}],"user_id":"23686","abstract":[{"text":" An initial-boundary value problem for a coupled chemotaxis-Navier–Stokes model with porous medium type diffusion is considered. Previous related literature has provided profound knowledge in cases when the system is augmented with no-flux/no-flux/no-slip boundary conditions for the density of cells, the chemical concentration and the fluid velocity field, respectively; in particular, available qualitative results strongly indicate that only trivial solution behavior can be expected on large time scales. In line with refined modeling approaches to oxygen evolution near fluid-air interfaces, this study now focuses on situations involving a fixed chemoattractant concentration on the boundary. Despite an apparent loss of mathematically favorable energy structures thereby induced, by means of an alternative variational approach a basic theory of global existence is developed in a natural framework of weak solvability. Beyond this, some additional qualitative information on the large time behavior of these solutions is derived by identifying a certain global relaxation property. Specifically, a second result asserts, within a suitable topological setting, the existence of a bounded set which eventually absorbs each individual of the obtained trajectories, and the diameter of which is bounded only by the physically relevant quantities of total population size and prescribed boundary concentration of the chemical signal. ","lang":"eng"}],"status":"public","date_created":"2022-12-21T09:50:03Z","volume":32,"author":[{"first_name":"Tobias","orcid":"0000-0001-9963-0800","full_name":"Black, Tobias","last_name":"Black","id":"23686"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"}],"publisher":"World Scientific Pub Co Pte Ltd","keyword":["Applied Mathematics","Modeling and Simulation"],"publication":"Mathematical Models and Methods in Applied Sciences","issue":"01","_id":"34676","intvolume":" 32","type":"journal_article","citation":{"ieee":"T. Black and M. Winkler, “Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary,” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 01, pp. 137–173, 2022, doi: 10.1142/s021820252250004x.","short":"T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173.","mla":"Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the Boundary.” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 01, World Scientific Pub Co Pte Ltd, 2022, pp. 137–73, doi:10.1142/s021820252250004x.","bibtex":"@article{Black_Winkler_2022, title={Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}, volume={32}, DOI={10.1142/s021820252250004x}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2022}, pages={137–173} }","apa":"Black, T., & Winkler, M. (2022). Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences, 32(01), 137–173. https://doi.org/10.1142/s021820252250004x","ama":"Black T, Winkler M. Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences. 2022;32(01):137-173. doi:10.1142/s021820252250004x","chicago":"Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the Boundary.” Mathematical Models and Methods in Applied Sciences 32, no. 01 (2022): 137–73. https://doi.org/10.1142/s021820252250004x."},"year":"2022","page":"137-173"},{"type":"conference","year":"2022","citation":{"apa":"Liebendörfer, M., Profeta, A., Krämer, S., Schlüter, S., Becher, S., Biehler, R., Mai, T., & Schmitz, A. (2022). Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy.","ama":"Liebendörfer M, Profeta A, Krämer S, et al. Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation. 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In: ; 2022.","chicago":"Podworny, Susanne, Yannik Fleischer, Dietlinde Stroop, and Rolf Biehler. “An Example of Rich, Real and Multivariate Survey Data for Use in School,” 2022."},"language":[{"iso":"eng"}],"conference":{"name":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","start_date":"2022-02-02","location":"Bozen-Bolzano, Italy","end_date":"2022-02-06"},"_id":"39064","date_updated":"2023-01-24T08:57:12Z","date_created":"2023-01-24T08:55:09Z","status":"public","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"author":[{"last_name":"Podworny","first_name":"Susanne","full_name":"Podworny, Susanne"},{"full_name":"Fleischer, Yannik","first_name":"Yannik","last_name":"Fleischer"},{"last_name":"Stroop","first_name":"Dietlinde","full_name":"Stroop, Dietlinde"},{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"}],"title":"An example of rich, real and multivariate survey data for use in school","user_id":"37888","related_material":{"link":[{"url":"https://hal.archives-ouvertes.fr/hal-03751842","relation":"confirmation"}]}},{"user_id":"15645","title":"Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.","date_created":"2023-01-09T13:02:46Z","status":"public","volume":42,"publication":"Discrete and Continuous Dynamical Systems","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"author":[{"last_name":" Kang","first_name":"Kyungkeun","full_name":" Kang, Kyungkeun"},{"first_name":"Jihoon","full_name":"Lee, Jihoon","last_name":"Lee"},{"last_name":"Winkler","id":"31496","first_name":"Michael","full_name":"Winkler, Michael"}],"date_updated":"2023-01-21T09:30:47Z","_id":"35483","intvolume":" 42","language":[{"iso":"eng"}],"page":"5201-5222","year":"2022","citation":{"ieee":"K. Kang, J. Lee, and M. Winkler, “Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.,” Discrete and Continuous Dynamical Systems, vol. 42, pp. 5201–5222, 2022.","short":"K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222.","mla":"Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22.","bibtex":"@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems}, author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222} }","chicago":"Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems 42 (2022): 5201–22.","apa":"Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems, 42, 5201–5222.","ama":"Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222."},"type":"journal_article"},{"title":"Elementary symmetric polynomials and martingales for Heckman-Opdam processes","user_id":"37390","abstract":[{"text":"We consider the generators $L_k$ of Heckman-Opdam diffusion processes in the compact and non-compact case in $N$ dimensions for root systems of type $A$ and $B$, with a multiplicity function of the form $k=κk_0$ with some fixed value $k_0$ and a varying constant $κ\\in\\,[0,\\infty[$. Using elementary symmetric functions, we present polynomials which are simultaneous eigenfunctions of the $L_k$ for all $κ\\in\\,]0,\\infty[$. This leads to martingales associated with the Heckman-Opdam diffusions $ (X_{t,1},\\ldots,X_{t,N})_{t\\ge0}$. As our results extend to the freezing case $κ=\\infty$ with a deterministic limit after some renormalization, we find formulas for the expectations $\\mathbb E(\\prod_{j=1}^N(y-X_{t,j})),$ $y\\in\\mathbb C$.","lang":"eng"}],"publication_status":"published","status":"public","date_created":"2023-01-23T08:31:27Z","author":[{"last_name":"Rösler","id":"37390","first_name":"Margit","full_name":"Rösler, Margit"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"department":[{"_id":"555"}],"publication":"Contemporary Mathematics","doi":"10.48550/ARXIV.2108.03228","issue":"780","_id":"38039","date_updated":"2023-01-24T22:16:21Z","conference":{"name":"Hypergeometry, integrability and Lie theory"},"type":"journal_article","citation":{"short":"M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262.","ieee":"M. Rösler and M. Voit, “Elementary symmetric polynomials and martingales for Heckman-Opdam processes,” Contemporary Mathematics, no. 780, pp. 243–262, 2022, doi: 10.48550/ARXIV.2108.03228.","apa":"Rösler, M., & Voit, M. (2022). Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics, 780, 243–262. https://doi.org/10.48550/ARXIV.2108.03228","ama":"Rösler M, Voit M. Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics. 2022;(780):243-262. doi:10.48550/ARXIV.2108.03228","chicago":"Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780 (2022): 243–62. https://doi.org/10.48550/ARXIV.2108.03228.","bibtex":"@article{Rösler_Voit_2022, title={Elementary symmetric polynomials and martingales for Heckman-Opdam processes}, DOI={10.48550/ARXIV.2108.03228}, number={780}, journal={Contemporary Mathematics}, author={Rösler, Margit and Voit, Michael}, year={2022}, pages={243–262} }","mla":"Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780, 2022, pp. 243–62, doi:10.48550/ARXIV.2108.03228."},"year":"2022","page":"243-262","language":[{"iso":"eng"}]},{"date_created":"2023-01-26T11:06:50Z","status":"public","editor":[{"full_name":"Hodgen, J.","first_name":"J.","last_name":"Hodgen"},{"first_name":"E.","full_name":"Geraniou, E.","last_name":"Geraniou"},{"last_name":"Bolondi","full_name":"Bolondi, G.","first_name":"G."},{"first_name":"F.","full_name":"Ferretti, F.","last_name":"Ferretti"}],"publication":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","department":[{"_id":"543"},{"_id":"98"}],"author":[{"last_name":"Häsel-Weide","id":"60267","first_name":"Uta","full_name":"Häsel-Weide, Uta"},{"last_name":"Nührenbörger","first_name":"M.","full_name":"Nührenbörger, M."}],"user_id":"44184","title":"Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education","language":[{"iso":"eng"}],"page":"1-8","type":"conference","year":"2022","citation":{"ieee":"U. Häsel-Weide and M. Nührenbörger, “Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education,” in Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022, pp. 1–8.","short":"U. Häsel-Weide, M. Nührenbörger, in: J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, Free University of Bozen-Bolzano and ERME (Eds.), Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022, pp. 1–8.","mla":"Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary School. Twelfth Congress of the European Society for Research in Mathematics Education.” Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen et al., 2022, pp. 1–8.","bibtex":"@inproceedings{Häsel-Weide_Nührenbörger_2022, title={Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education}, booktitle={Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F. and Free University of Bozen-Bolzano and ERME}, year={2022}, pages={1–8} }","apa":"Häsel-Weide, U., & Nührenbörger, M. (2022). Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education. In J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, & Free University of Bozen-Bolzano and ERME (Eds.), Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) (pp. 1–8).","ama":"Häsel-Weide U, Nührenbörger M. Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education. In: Hodgen J, Geraniou E, Bolondi G, Ferretti F, Free University of Bozen-Bolzano and ERME, eds. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022:1-8.","chicago":"Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary School. Twelfth Congress of the European Society for Research in Mathematics Education.” In Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, and Free University of Bozen-Bolzano and ERME, 1–8, 2022."},"main_file_link":[{"url":"⟨hal-03745438⟩"}],"corporate_editor":["Free University of Bozen-Bolzano and ERME"],"date_updated":"2023-01-26T11:09:02Z","_id":"40312"},{"date_updated":"2023-01-30T12:09:59Z","_id":"35674","doi":"10.52041/iase.icots11.t10e3","type":"conference","citation":{"bibtex":"@inproceedings{Fleischer_Hüsing_Biehler_Podworny_Schulte_2022, title={Jupyter Notebooks for Teaching, Learning, and Doing Data Science}, DOI={10.52041/iase.icots11.t10e3}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Fleischer, Yannik and Hüsing, Sven and Biehler, Rolf and Podworny, Susanne and Schulte, Carsten}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }","mla":"Fleischer, Yannik, et al. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters et al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t10e3.","apa":"Fleischer, Y., Hüsing, S., Biehler, R., Podworny, S., & Schulte, C. (2022). Jupyter Notebooks for Teaching, Learning, and Doing Data Science. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t10e3","ama":"Fleischer Y, Hüsing S, Biehler R, Podworny S, Schulte C. Jupyter Notebooks for Teaching, Learning, and Doing Data Science. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t10e3","chicago":"Fleischer, Yannik, Sven Hüsing, Rolf Biehler, Susanne Podworny, and Carsten Schulte. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t10e3.","ieee":"Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, and C. Schulte, “Jupyter Notebooks for Teaching, Learning, and Doing Data Science,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t10e3.","short":"Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, C. Schulte, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, 2022."},"year":"2022","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We report on our work with students in our data science courses, focusing on the analysis of students’ results. This study represents an in-depth analysis of students’ creation and documentation of machine learning models. The students were supported by educationally designed Jupyter Notebooks, which are used as worked examples. Using the worked example, students document their results in a so-called computational essay. We examine which aspects of creating computational essays are difficult for students to find out how worked examples should be designed to support students without being too prescriptive. We analyze the computational essays produced by students and draw consequences for redesigning our worked example."}],"title":"Jupyter Notebooks for Teaching, Learning, and Doing Data Science","user_id":"58465","publisher":"International Association for Statistical Education","author":[{"last_name":"Fleischer","full_name":"Fleischer, Yannik","first_name":"Yannik"},{"last_name":"Hüsing","id":"58465","first_name":"Sven","full_name":"Hüsing, Sven"},{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"},{"last_name":"Podworny","full_name":"Podworny, Susanne","first_name":"Susanne"},{"last_name":"Schulte","id":"60311","first_name":"Carsten","full_name":"Schulte, Carsten"}],"publication":"Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"},{"_id":"67"}],"editor":[{"last_name":"Peters","full_name":"Peters, S. A.","first_name":"S. A."},{"last_name":"Zapata-Cardona","full_name":"Zapata-Cardona, L.","first_name":"L."},{"last_name":"Bonafini","first_name":"F.","full_name":"Bonafini, F."},{"full_name":"Fan, A.","first_name":"A.","last_name":"Fan"}],"publication_status":"published","status":"public","date_created":"2023-01-10T08:50:47Z"},{"user_id":"60311","abstract":[{"lang":"eng","text":"This study examines modelling with machine learning. In the context of a yearlong data science course, the study explores how upper secondary students apply machine learning with Jupyter Notebooks and document the modelling process as a computational essay incorporating the different steps of the CRISP-DM cycle. The students’ work is based on a teaching module about decision trees in machine learning and a worked example of such a modelling process. The study outlines the students’ performance in carrying out the machine learning technically and reasoning about bias in the data, different data preparation steps, the application context, and the resulting decision model. Furthermore, the context of the study and the theoretical backgrounds are presented."}],"volume":21,"status":"public","date_created":"2023-01-10T08:48:23Z","publisher":"International Association for Statistical Education","author":[{"full_name":"Fleischer, Yannik","first_name":"Yannik","last_name":"Fleischer"},{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"full_name":"Schulte, Carsten","first_name":"Carsten","id":"60311","last_name":"Schulte"}],"publication":"Statistics Education Research Journal","keyword":["Education","Statistics and Probability"],"article_number":"7","issue":"2","_id":"35672","intvolume":" 21","citation":{"mla":"Fleischer, Yannik, et al. “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks.” Statistics Education Research Journal, vol. 21, no. 2, 7, International Association for Statistical Education, 2022, doi:10.52041/serj.v21i2.61.","bibtex":"@article{Fleischer_Biehler_Schulte_2022, title={Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks}, volume={21}, DOI={10.52041/serj.v21i2.61}, number={27}, journal={Statistics Education Research Journal}, publisher={International Association for Statistical Education}, author={Fleischer, Yannik and Biehler, Rolf and Schulte, Carsten}, year={2022} }","apa":"Fleischer, Y., Biehler, R., & Schulte, C. (2022). Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks. Statistics Education Research Journal, 21(2), Article 7. https://doi.org/10.52041/serj.v21i2.61","ama":"Fleischer Y, Biehler R, Schulte C. Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks. Statistics Education Research Journal. 2022;21(2). doi:10.52041/serj.v21i2.61","chicago":"Fleischer, Yannik, Rolf Biehler, and Carsten Schulte. “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks.” Statistics Education Research Journal 21, no. 2 (2022). https://doi.org/10.52041/serj.v21i2.61.","ieee":"Y. Fleischer, R. Biehler, and C. Schulte, “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks,” Statistics Education Research Journal, vol. 21, no. 2, Art. no. 7, 2022, doi: 10.52041/serj.v21i2.61.","short":"Y. Fleischer, R. Biehler, C. Schulte, Statistics Education Research Journal 21 (2022)."},"year":"2022","type":"journal_article","title":"Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks","publication_status":"published","publication_identifier":{"issn":["1570-1824"]},"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"},{"_id":"67"}],"doi":"10.52041/serj.v21i2.61","date_updated":"2023-01-30T12:52:57Z","language":[{"iso":"eng"}]},{"_id":"35479","date_updated":"2023-02-01T10:05:54Z","intvolume":" 32","language":[{"iso":"eng"}],"citation":{"ieee":"N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.,” Mathematical Models & Methods in Applied Sciences, vol. 32, pp. 713–792, 2022.","short":"N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models & Methods in Applied Sciences 32 (2022) 713–792.","bibtex":"@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.}, volume={32}, journal={Mathematical Models & Methods in Applied Sciences}, author={Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan and Winkler, Michael}, year={2022}, pages={713–792} }","mla":"Bellomo, Nicolas, et al. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences, vol. 32, 2022, pp. 713–92.","apa":"Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences, 32, 713–792.","ama":"Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences. 2022;32:713-792.","chicago":"Bellomo, Nicolas, Nisrine Outada, Juan Soler, Youshan Tao, and Michael Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences 32 (2022): 713–92."},"type":"journal_article","year":"2022","page":"713-792","user_id":"15645","title":"Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.","status":"public","date_created":"2023-01-09T12:42:07Z","volume":32,"author":[{"full_name":"Bellomo, Nicolas","first_name":"Nicolas","last_name":"Bellomo"},{"last_name":"Outada","full_name":"Outada, Nisrine","first_name":"Nisrine"},{"last_name":"Soler","full_name":"Soler, Juan","first_name":"Juan"},{"first_name":"Youshan","full_name":"Tao, Youshan","last_name":"Tao"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication":"Mathematical Models & Methods in Applied Sciences","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}]},{"year":"2022","type":"journal_article","citation":{"bibtex":"@article{Lankeit_Winkler_2022, title={Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.}, volume={22}, number={14}, journal={Journal of Evolution Equations}, author={Lankeit, Johannes and Winkler, Michael}, year={2022} }","mla":"Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva Effects.” Journal of Evolution Equations, vol. 22, 14, 2022.","ieee":"J. Lankeit and M. Winkler, “Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.,” Journal of Evolution Equations, vol. 22, Art. no. 14, 2022.","chicago":"Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva Effects.” Journal of Evolution Equations 22 (2022).","short":"J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).","ama":"Lankeit J, Winkler M. Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. Journal of Evolution Equations. 2022;22.","apa":"Lankeit, J., & Winkler, M. (2022). Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. Journal of Evolution Equations, 22, Article 14."},"language":[{"iso":"eng"}],"article_number":"14","_id":"35530","date_updated":"2023-02-01T10:07:44Z","intvolume":" 22","volume":22,"status":"public","date_created":"2023-01-09T15:37:36Z","author":[{"last_name":"Lankeit","full_name":"Lankeit, Johannes","first_name":"Johannes"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication":"Journal of Evolution Equations","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"title":"Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.","user_id":"15645"},{"page":"124-151","citation":{"ieee":"J. Fuhrmann, J. Lankeit, and M. Winkler, “A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.,” Journal de Mathématiques Pures et Appliquées, vol. 162, pp. 124–151, 2022.","short":"J. Fuhrmann, J. Lankeit, M. 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Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. 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As a result of these, we give a method\r\nto compute Chow groups of such orders and show that there are infinitely many\r\nnumber fields which contain orders with trivial Chow groups.","lang":"eng"}],"date_created":"2023-03-02T09:09:11Z","status":"public","publication":"arXiv:2208.14688","department":[{"_id":"102"}],"author":[{"full_name":"Kirschmer, Markus","first_name":"Markus","last_name":"Kirschmer"},{"last_name":"Klüners","id":"21202","first_name":"Jürgen","full_name":"Klüners, Jürgen"}],"_id":"42647","date_updated":"2023-03-02T09:10:55Z","citation":{"bibtex":"@article{Kirschmer_Klüners_2022, title={Chow groups of orders in number fields}, journal={arXiv:2208.14688}, author={Kirschmer, Markus and Klüners, Jürgen}, year={2022} }","mla":"Kirschmer, Markus, and Jürgen Klüners. “Chow Groups of Orders in Number Fields.” ArXiv:2208.14688, 2022.","apa":"Kirschmer, M., & Klüners, J. (2022). Chow groups of orders in number fields. In arXiv:2208.14688.","ama":"Kirschmer M, Klüners J. 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(2022). Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik. In R. Hochmuth, R. Biehler, M. Liebendörfer, & N. Schaper (Eds.), Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse (pp. 33–65). Springer. https://doi.org/10.1007/978-3-662-64833-9_2","ama":"Liebendörfer M, Hochmuth R, Biehler R, et al. Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik. In: Hochmuth R, Biehler R, Liebendörfer M, Schaper N, eds. Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Springer; 2022:33-65. doi:10.1007/978-3-662-64833-9_2","chicago":"Liebendörfer, Michael, Reinhard Hochmuth, Rolf Biehler, Niclas Schaper, Christiane Büdenbender-Kuklinski, Elisa Lankeit, Johanna Ruge, and Mirko Schürmann. “Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik.” In Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, edited by Reinhard Hochmuth, Rolf Biehler, Michael Liebendörfer, and Niclas Schaper, 33–65. Berlin, Heidelberg: Springer, 2022. https://doi.org/10.1007/978-3-662-64833-9_2.","bibtex":"@inbook{Liebendörfer_Hochmuth_Biehler_Schaper_Büdenbender-Kuklinski_Lankeit_Ruge_Schürmann_2022, place={Berlin, Heidelberg}, title={Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik}, DOI={10.1007/978-3-662-64833-9_2}, booktitle={Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse}, publisher={Springer}, author={Liebendörfer, Michael and Hochmuth, Reinhard and Biehler, Rolf and Schaper, Niclas and Büdenbender-Kuklinski, Christiane and Lankeit, Elisa and Ruge, Johanna and Schürmann, Mirko}, editor={Hochmuth, Reinhard and Biehler, Rolf and Liebendörfer, Michael and Schaper, Niclas}, year={2022}, pages={33–65} }","mla":"Liebendörfer, Michael, et al. “Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik.” Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, edited by Reinhard Hochmuth et al., Springer, 2022, pp. 33–65, doi:10.1007/978-3-662-64833-9_2.","short":"M. Liebendörfer, R. Hochmuth, R. Biehler, N. Schaper, C. Büdenbender-Kuklinski, E. Lankeit, J. Ruge, M. Schürmann, in: R. Hochmuth, R. Biehler, M. Liebendörfer, N. Schaper (Eds.), Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, Springer, Berlin, Heidelberg, 2022, pp. 33–65.","ieee":"M. Liebendörfer et al., “Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. 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We prove that the latter two conjectures are equivalent in some sense. Altogether, the three conjectures are equivalent for the class of solvable groups. We then prove the ℓ-torsion conjecture for ℓ-groups and the other two conjectures for nilpotent groups."}],"volume":150,"date_created":"2022-12-22T10:47:01Z","status":"public","keyword":["Applied Mathematics","General Mathematics"],"publication":"Proceedings of the American Mathematical Society","publisher":"American Mathematical Society (AMS)","author":[{"first_name":"Jürgen","full_name":"Klüners, Jürgen","last_name":"Klüners","id":"21202"},{"last_name":"Wang","first_name":"Jiuya","full_name":"Wang, Jiuya"}],"issue":"7","intvolume":" 150","_id":"34839","page":"2793-2805","type":"journal_article","citation":{"ama":"Klüners J, Wang J. ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society. 2022;150(7):2793-2805. doi:10.1090/proc/15882","apa":"Klüners, J., & Wang, J. (2022). ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society, 150(7), 2793–2805. https://doi.org/10.1090/proc/15882","chicago":"Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” Proceedings of the American Mathematical Society 150, no. 7 (2022): 2793–2805. https://doi.org/10.1090/proc/15882.","mla":"Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” Proceedings of the American Mathematical Society, vol. 150, no. 7, American Mathematical Society (AMS), 2022, pp. 2793–805, doi:10.1090/proc/15882.","bibtex":"@article{Klüners_Wang_2022, title={ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group}, volume={150}, DOI={10.1090/proc/15882}, number={7}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Wang, Jiuya}, year={2022}, pages={2793–2805} }","short":"J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805.","ieee":"J. Klüners and J. Wang, “ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group,” Proceedings of the American Mathematical Society, vol. 150, no. 7, pp. 2793–2805, 2022, doi: 10.1090/proc/15882."},"year":"2022","title":"ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group","external_id":{"arxiv":["2003.12161 "]},"publication_status":"published","publication_identifier":{"issn":["0002-9939","1088-6826"]},"department":[{"_id":"102"}],"doi":"10.1090/proc/15882","date_updated":"2023-03-06T08:47:42Z","language":[{"iso":"eng"}]},{"date_updated":"2023-03-06T08:48:33Z","doi":"10.4064/aa211207-16-5","language":[{"iso":"eng"}],"external_id":{"arxiv":["2011.04325 "]},"title":"The asymptotics of nilpotent Galois groups","department":[{"_id":"102"}],"publication_status":"published","publication_identifier":{"issn":["0065-1036","1730-6264"]},"_id":"34835","intvolume":" 204","issue":"2","type":"journal_article","year":"2022","citation":{"mla":"Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” Acta Arithmetica, vol. 204, no. 2, Institute of Mathematics, Polish Academy of Sciences, 2022, pp. 165–84, doi:10.4064/aa211207-16-5.","bibtex":"@article{Klüners_2022, title={The asymptotics of nilpotent Galois groups}, volume={204}, DOI={10.4064/aa211207-16-5}, number={2}, journal={Acta Arithmetica}, publisher={Institute of Mathematics, Polish Academy of Sciences}, author={Klüners, Jürgen}, year={2022}, pages={165–184} }","ama":"Klüners J. 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Lankeit and R. Biehler, “Vorkurse und ihre Wirkungen im Übergang Schule – Hochschule,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. Berlin, Heidelberg: Springer, 2022, pp. 293–363.","short":"E. Lankeit, R. Biehler, in: R. Hochmuth, R. Biehler, M. Liebendörfer, N. 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Berlin, Heidelberg: Springer, 2022."},"_id":"42650","date_updated":"2023-04-14T09:26:23Z","oa":"1","doi":"10.1007/978-3-662-64833-9"},{"abstract":[{"text":"In this paper, we study equivalences between the categories of quasi–coherent sheaves on non–commutative noetherian schemes. In particular, we give a new proof of Căldăraru's conjecture about Morita equivalences of Azumaya algebras on noetherian schemes. Moreover, we derive necessary and sufficient condition for two reduced non–commutative curves to be Morita equivalent.","lang":"eng"}],"user_id":"49063","title":"Morita theory for non-commutative noetherian schemes","department":[{"_id":"602"}],"publication":"Advances in Mathematics","author":[{"first_name":"Igor","full_name":"Burban, Igor","last_name":"Burban","id":"72064"},{"first_name":"Yu.","full_name":"Drozd, Yu.","last_name":"Drozd"}],"date_created":"2023-05-02T18:34:25Z","status":"public","volume":399,"publication_status":"published","intvolume":" 399","_id":"44328","date_updated":"2023-05-07T01:35:27Z","doi":"10.1016/j.aim.2022.108273","article_number":"108273","language":[{"iso":"eng"}],"citation":{"ieee":"I. Burban and Yu. Drozd, “Morita theory for non-commutative noetherian schemes,” Advances in Mathematics, vol. 399, Art. no. 108273, 2022, doi: 10.1016/j.aim.2022.108273.","short":"I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).","mla":"Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” Advances in Mathematics, vol. 399, 108273, 2022, doi:10.1016/j.aim.2022.108273.","bibtex":"@article{Burban_Drozd_2022, title={Morita theory for non-commutative noetherian schemes}, volume={399}, DOI={10.1016/j.aim.2022.108273}, number={108273}, journal={Advances in Mathematics}, author={Burban, Igor and Drozd, Yu.}, year={2022} }","chicago":"Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” Advances in Mathematics 399 (2022). https://doi.org/10.1016/j.aim.2022.108273.","apa":"Burban, I., & Drozd, Yu. (2022). Morita theory for non-commutative noetherian schemes. Advances in Mathematics, 399, Article 108273. https://doi.org/10.1016/j.aim.2022.108273","ama":"Burban I, Drozd Yu. Morita theory for non-commutative noetherian schemes. Advances in Mathematics. 2022;399. doi:10.1016/j.aim.2022.108273"},"type":"journal_article","year":"2022"},{"date_updated":"2023-05-07T01:37:00Z","_id":"44537","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2207.02278"}],"type":"preprint","year":"2022","citation":{"bibtex":"@article{Burban_Alfes-Neumann_Raum_2022, title={A classification of polyharmonic Maa forms via quiver representations}, author={Burban, Igor and Alfes-Neumann, C. and Raum, M.}, year={2022} }","mla":"Burban, Igor, et al. A Classification of Polyharmonic Maa Forms via Quiver Representations. 2022.","chicago":"Burban, Igor, C. Alfes-Neumann, and M. Raum. “A Classification of Polyharmonic Maa Forms via Quiver Representations,” 2022.","apa":"Burban, I., Alfes-Neumann, C., & Raum, M. (2022). A classification of polyharmonic Maa forms via quiver representations.","ama":"Burban I, Alfes-Neumann C, Raum M. A classification of polyharmonic Maa forms via quiver representations. Published online 2022.","ieee":"I. Burban, C. Alfes-Neumann, and M. Raum, “A classification of polyharmonic Maa forms via quiver representations.” 2022.","short":"I. Burban, C. Alfes-Neumann, M. Raum, (2022)."},"language":[{"iso":"eng"}],"title":"A classification of polyharmonic Maa forms via quiver representations","user_id":"49063","author":[{"first_name":"Igor","full_name":"Burban, Igor","last_name":"Burban","id":"72064"},{"last_name":"Alfes-Neumann","full_name":"Alfes-Neumann, C.","first_name":"C."},{"first_name":"M.","full_name":"Raum, M.","last_name":"Raum"}],"department":[{"_id":"602"}],"publication_status":"published","status":"public","date_created":"2023-05-07T00:54:50Z"},{"article_number":"104499","intvolume":" 176","_id":"44327","date_updated":"2023-05-07T01:41:35Z","language":[{"iso":"eng"}],"type":"journal_article","citation":{"ieee":"I. Burban and A. Peruzzi, “On elliptic solutions of the associative Yang-Baxter equation,” Journal of Geometry and Physics, vol. 176, Art. no. 104499, 2022.","short":"I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022).","bibtex":"@article{Burban_Peruzzi_2022, title={On elliptic solutions of the associative Yang-Baxter equation}, volume={176}, number={104499}, journal={Journal of Geometry and Physics}, author={Burban, Igor and Peruzzi, A.}, year={2022} }","mla":"Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” Journal of Geometry and Physics, vol. 176, 104499, 2022.","chicago":"Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” Journal of Geometry and Physics 176 (2022).","ama":"Burban I, Peruzzi A. On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics. 2022;176.","apa":"Burban, I., & Peruzzi, A. (2022). On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics, 176, Article 104499."},"year":"2022","user_id":"49063","title":"On elliptic solutions of the associative Yang-Baxter equation","date_created":"2023-05-02T18:32:49Z","status":"public","volume":176,"publication_status":"published","publication":"Journal of Geometry and Physics","department":[{"_id":"602"}],"author":[{"id":"72064","last_name":"Burban","full_name":"Burban, Igor","first_name":"Igor"},{"last_name":"Peruzzi","full_name":"Peruzzi, A.","first_name":"A."}]},{"page":"759-788","citation":{"short":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, K. Worthmann, Mathematics of Control, Signals, and Systems 34 (2022) 759–788.","ieee":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, and K. Worthmann, “Manifold turnpikes, trims, and symmetries,” Mathematics of Control, Signals, and Systems, vol. 34, pp. 759–788, 2022.","apa":"Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., Schaller, M., & Worthmann, K. (2022). Manifold turnpikes, trims, and symmetries. Mathematics of Control, Signals, and Systems, 34, 759–788.","ama":"Faulwasser T, Flaßkamp K, Ober-Blöbaum S, Schaller M, Worthmann K. Manifold turnpikes, trims, and symmetries. Mathematics of Control, Signals, and Systems. 2022;34:759-788.","chicago":"Faulwasser, Timm, Kathrin Flaßkamp, Sina Ober-Blöbaum, Manuel Schaller, and Karl Worthmann. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems 34 (2022): 759–88.","bibtex":"@article{Faulwasser_Flaßkamp_Ober-Blöbaum_Schaller_Worthmann_2022, title={Manifold turnpikes, trims, and symmetries}, volume={34}, journal={Mathematics of Control, Signals, and Systems}, publisher={Springer}, author={Faulwasser, Timm and Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Schaller, Manuel and Worthmann, Karl}, year={2022}, pages={759–788} }","mla":"Faulwasser, Timm, et al. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems, vol. 34, Springer, 2022, pp. 759–88."},"year":"2022","type":"journal_article","language":[{"iso":"eng"}],"_id":"44624","date_updated":"2023-05-08T09:04:26Z","intvolume":" 34","volume":34,"date_created":"2023-05-08T09:04:06Z","status":"public","publication":"Mathematics of Control, Signals, and Systems","department":[{"_id":"636"}],"author":[{"full_name":"Faulwasser, Timm","first_name":"Timm","last_name":"Faulwasser"},{"last_name":"Flaßkamp","full_name":"Flaßkamp, Kathrin","first_name":"Kathrin"},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","id":"16494","last_name":"Ober-Blöbaum"},{"last_name":"Schaller","first_name":"Manuel","full_name":"Schaller, Manuel"},{"last_name":"Worthmann","first_name":"Karl","full_name":"Worthmann, Karl"}],"publisher":"Springer","title":"Manifold turnpikes, trims, and symmetries","user_id":"15694"},{"date_updated":"2023-05-16T10:37:58Z","_id":"33741","doi":"10.1007/s00026-022-00593-4","year":"2022","type":"journal_article","citation":{"mla":"Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.” Annals of Combinatorics, Springer Science and Business Media LLC, 2022, doi:10.1007/s00026-022-00593-4.","bibtex":"@article{Cappello_Steffen_2022, title={Symmetric Set Coloring of Signed Graphs}, DOI={10.1007/s00026-022-00593-4}, journal={Annals of Combinatorics}, publisher={Springer Science and Business Media LLC}, author={Cappello, Chiara and Steffen, Eckhard}, year={2022} }","apa":"Cappello, C., & Steffen, E. (2022). Symmetric Set Coloring of Signed Graphs. Annals of Combinatorics. https://doi.org/10.1007/s00026-022-00593-4","ama":"Cappello C, Steffen E. Symmetric Set Coloring of Signed Graphs. Annals of Combinatorics. Published online 2022. doi:10.1007/s00026-022-00593-4","chicago":"Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.” Annals of Combinatorics, 2022. https://doi.org/10.1007/s00026-022-00593-4.","ieee":"C. Cappello and E. Steffen, “Symmetric Set Coloring of Signed Graphs,” Annals of Combinatorics, 2022, doi: 10.1007/s00026-022-00593-4.","short":"C. Cappello, E. Steffen, Annals of Combinatorics (2022)."},"language":[{"iso":"eng"}],"external_id":{"arxiv":["2106.05928"]},"abstract":[{"lang":"eng","text":"There are many concepts of signed graph coloring which are defined by assigning colors to the vertices of the graphs. These concepts usually differ in the number of self-inverse colors used. We introduce a unifying concept for this kind of coloring by assigning elements from symmetric sets to the vertices of the signed graphs. In the first part of the paper, we study colorings with elements from symmetric sets where the number of self-inverse elements is fixed. We prove a Brooks’-type theorem and upper bounds for the corresponding chromatic numbers in terms of the chromatic number of the underlying graph. These results are used in the second part where we introduce the symset-chromatic number χsym(G,σ) of a signed graph (G,σ). We show that the symset-chromatic number gives the minimum partition of a signed graph into independent sets and non-bipartite antibalanced subgraphs. In particular, χsym(G,σ)≤χ(G). In the final section we show that these colorings can also be formalized as DP-colorings."}],"title":"Symmetric Set Coloring of Signed Graphs","user_id":"15540","publisher":"Springer Science and Business Media LLC","author":[{"last_name":"Cappello","id":"72874","first_name":"Chiara","full_name":"Cappello, Chiara"},{"full_name":"Steffen, Eckhard","orcid":"0000-0002-9808-7401","first_name":"Eckhard","id":"15548","last_name":"Steffen"}],"department":[{"_id":"542"}],"publication":"Annals of Combinatorics","keyword":["Discrete Mathematics and Combinatorics"],"publication_status":"published","publication_identifier":{"issn":["0218-0006","0219-3094"]},"status":"public","date_created":"2022-10-17T07:54:41Z"},{"page":"183-193","year":"2022","type":"journal_article","citation":{"ama":"Cappello C, Steffen E. Frustration-critical signed graphs. Discrete Applied Mathematics. 2022;322:183-193. doi:10.1016/j.dam.2022.08.010","apa":"Cappello, C., & Steffen, E. (2022). Frustration-critical signed graphs. Discrete Applied Mathematics, 322, 183–193. https://doi.org/10.1016/j.dam.2022.08.010","chicago":"Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.” Discrete Applied Mathematics 322 (2022): 183–93. https://doi.org/10.1016/j.dam.2022.08.010.","bibtex":"@article{Cappello_Steffen_2022, title={Frustration-critical signed graphs}, volume={322}, DOI={10.1016/j.dam.2022.08.010}, journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Cappello, Chiara and Steffen, Eckhard}, year={2022}, pages={183–193} }","mla":"Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.” Discrete Applied Mathematics, vol. 322, Elsevier BV, 2022, pp. 183–93, doi:10.1016/j.dam.2022.08.010.","short":"C. Cappello, E. Steffen, Discrete Applied Mathematics 322 (2022) 183–193.","ieee":"C. Cappello and E. Steffen, “Frustration-critical signed graphs,” Discrete Applied Mathematics, vol. 322, pp. 183–193, 2022, doi: 10.1016/j.dam.2022.08.010."},"intvolume":" 322","_id":"33950","volume":322,"date_created":"2022-10-28T06:51:31Z","status":"public","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"publication":"Discrete Applied Mathematics","author":[{"first_name":"Chiara","full_name":"Cappello, Chiara","last_name":"Cappello","id":"72874"},{"full_name":"Steffen, Eckhard","orcid":"0000-0002-9808-7401","first_name":"Eckhard","id":"15548","last_name":"Steffen"}],"publisher":"Elsevier BV","user_id":"15540","language":[{"iso":"eng"}],"doi":"10.1016/j.dam.2022.08.010","date_updated":"2023-05-16T10:36:51Z","publication_identifier":{"issn":["0166-218X"]},"publication_status":"published","department":[{"_id":"542"}],"title":"Frustration-critical signed graphs","external_id":{"arxiv":["2112.02664"]}},{"language":[{"iso":"ger"}],"citation":{"apa":"Bruns, J., & Reuter, D. (2022). „Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen? Beiträge zum Mathematikunterricht 2022.","ama":"Bruns J, Reuter D. „Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen? In: Beiträge zum Mathematikunterricht 2022. WTM-Verlag; 2022.","chicago":"Bruns, Julia, and D. Reuter. “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?” In Beiträge zum Mathematikunterricht 2022. WTM-Verlag, 2022.","mla":"Bruns, Julia, and D. Reuter. “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?” Beiträge zum Mathematikunterricht 2022, WTM-Verlag, 2022.","bibtex":"@inproceedings{Bruns_Reuter_2022, title={„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?}, booktitle={Beiträge zum Mathematikunterricht 2022}, publisher={WTM-Verlag}, author={Bruns, Julia and Reuter, D.}, year={2022} }","short":"J. Bruns, D. Reuter, in: Beiträge zum Mathematikunterricht 2022, WTM-Verlag, 2022.","ieee":"J. Bruns and D. Reuter, “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?,” 2022."},"year":"2022","type":"conference","date_updated":"2023-06-20T18:27:55Z","_id":"45679","date_created":"2023-06-20T18:27:40Z","status":"public","publication_status":"published","department":[{"_id":"97"},{"_id":"611"}],"publication":"Beiträge zum Mathematikunterricht 2022","author":[{"last_name":"Bruns","id":"72183","first_name":"Julia","orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia"},{"full_name":"Reuter, D.","first_name":"D.","last_name":"Reuter"}],"publisher":"WTM-Verlag","user_id":"49063","title":"„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?"},{"user_id":"49063","title":"Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education","date_created":"2023-06-20T18:26:19Z","status":"public","publication_status":"published","editor":[{"last_name":"Hodgen","full_name":"Hodgen, J.","first_name":"J."},{"last_name":"Geraniou","full_name":"Geraniou, E.","first_name":"E."},{"last_name":"Bolondi","full_name":"Bolondi, G.","first_name":"G."},{"full_name":"Ferretti, F.","first_name":"F.","last_name":"Ferretti"}],"department":[{"_id":"97"},{"_id":"611"}],"publication":"Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","author":[{"id":"72183","last_name":"Bruns","orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia","first_name":"Julia"},{"full_name":"Hagena, M.","first_name":"M.","last_name":"Hagena"},{"last_name":"Gasteiger","first_name":"H.","full_name":"Gasteiger, H."}],"conference":{"name":"Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","location":"Free University of Bozen-Bolzano and ERME"},"_id":"45678","date_updated":"2023-06-20T19:06:39Z","language":[{"iso":"eng"}],"citation":{"short":"J. Bruns, M. Hagena, H. Gasteiger, in: J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti (Eds.), Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","ieee":"J. Bruns, M. Hagena, and H. Gasteiger, “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education,” in Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Free University of Bozen-Bolzano and ERME, 2022.","apa":"Bruns, J., Hagena, M., & Gasteiger, H. (2022). Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education. In J. Hodgen, E. Geraniou, G. Bolondi, & F. Ferretti (Eds.), Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12).","ama":"Bruns J, Hagena M, Gasteiger H. Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education. In: Hodgen J, Geraniou E, Bolondi G, Ferretti F, eds. Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022.","chicago":"Bruns, Julia, M. Hagena, and H. Gasteiger. “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education.” In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, and F. Ferretti, 2022.","mla":"Bruns, Julia, et al. “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education.” Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen et al., 2022.","bibtex":"@inproceedings{Bruns_Hagena_Gasteiger_2022, title={Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education}, booktitle={Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Bruns, Julia and Hagena, M. and Gasteiger, H.}, editor={Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F.}, year={2022} }"},"year":"2022","type":"conference"},{"year":"2022","type":"journal_article","citation":{"bibtex":"@article{Bruns_Langer_Erhorn_2022, title={Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht}, volume={52}, DOI={10.1007/s12662-022-00807-0}, number={3}, journal={German Journal of Exercise and Sport Research}, author={Bruns, Julia and Langer, W. and Erhorn, J.}, year={2022}, pages={386–397} }","mla":"Bruns, Julia, et al. “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht.” German Journal of Exercise and Sport Research, vol. 52, no. 3, 2022, pp. 386–397, doi:10.1007/s12662-022-00807-0.","ieee":"J. Bruns, W. Langer, and J. Erhorn, “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht,” German Journal of Exercise and Sport Research, vol. 52, no. 3, pp. 386–397, 2022, doi: 10.1007/s12662-022-00807-0.","chicago":"Bruns, Julia, W. Langer, and J. Erhorn. “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht.” German Journal of Exercise and Sport Research 52, no. 3 (2022): 386–397. https://doi.org/10.1007/s12662-022-00807-0.","apa":"Bruns, J., Langer, W., & Erhorn, J. (2022). Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht. German Journal of Exercise and Sport Research, 52(3), 386–397. https://doi.org/10.1007/s12662-022-00807-0","short":"J. Bruns, W. Langer, J. Erhorn, German Journal of Exercise and Sport Research 52 (2022) 386–397.","ama":"Bruns J, Langer W, Erhorn J. Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht. German Journal of Exercise and Sport Research. 2022;52(3):386–397. doi:10.1007/s12662-022-00807-0"},"page":"386–397","language":[{"iso":"ger"}],"doi":"10.1007/s12662-022-00807-0","issue":"3","_id":"45677","date_updated":"2023-06-20T19:06:58Z","intvolume":" 52","publication_status":"published","volume":52,"status":"public","date_created":"2023-06-20T18:22:54Z","author":[{"last_name":"Bruns","id":"72183","first_name":"Julia","full_name":"Bruns, Julia","orcid":"https://orcid.org/0000-0002-6604-5864"},{"last_name":"Langer","first_name":"W.","full_name":"Langer, W."},{"last_name":"Erhorn","first_name":"J.","full_name":"Erhorn, J."}],"publication":"German Journal of Exercise and Sport Research","department":[{"_id":"97"},{"_id":"611"}],"title":"Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht","user_id":"49063"},{"page":"386-397","citation":{"ieee":"W. Langer, J. Bruns, and J. Erhorn, “Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education,” German Journal of Exercise and Sport Research, vol. 52, no. 3, pp. 386–397, 2022, doi: 10.1007/s12662-022-00807-0.","short":"W. Langer, J. Bruns, J. Erhorn, German Journal of Exercise and Sport Research 52 (2022) 386–397.","bibtex":"@article{Langer_Bruns_Erhorn_2022, title={Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education}, volume={52}, DOI={10.1007/s12662-022-00807-0}, number={3}, journal={German Journal of Exercise and Sport Research}, publisher={Springer}, author={Langer, Wiebke and Bruns, Julia and Erhorn, Jan}, year={2022}, pages={386–397} }","mla":"Langer, Wiebke, et al. “Development and Validation of a Video-Based Test Instrument to Measure Noticing with Regard to Processes Ofrecognition in Inclusive Physical Education.” German Journal of Exercise and Sport Research, vol. 52, no. 3, Springer, 2022, pp. 386–97, doi:10.1007/s12662-022-00807-0.","chicago":"Langer, Wiebke, Julia Bruns, and Jan Erhorn. “Development and Validation of a Video-Based Test Instrument to Measure Noticing with Regard to Processes Ofrecognition in Inclusive Physical Education.” German Journal of Exercise and Sport Research 52, no. 3 (2022): 386–97. https://doi.org/10.1007/s12662-022-00807-0.","ama":"Langer W, Bruns J, Erhorn J. Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education. German Journal of Exercise and Sport Research. 2022;52(3):386-397. doi:10.1007/s12662-022-00807-0","apa":"Langer, W., Bruns, J., & Erhorn, J. (2022). Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education. German Journal of Exercise and Sport Research, 52(3), 386–397. https://doi.org/10.1007/s12662-022-00807-0"},"type":"journal_article","year":"2022","issue":"3","_id":"34820","intvolume":" 52","volume":52,"date_created":"2022-12-22T09:22:45Z","status":"public","keyword":["Physical education teacher education","Competence modelling and","measurement","Inclusive physical education","Video-based items","Noticing"],"publication":"German Journal of Exercise and Sport Research","publisher":"Springer","author":[{"first_name":"Wiebke","full_name":"Langer, Wiebke","last_name":"Langer"},{"orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia","first_name":"Julia","id":"72183","last_name":"Bruns"},{"first_name":"Jan","full_name":"Erhorn, Jan","last_name":"Erhorn"}],"quality_controlled":"1","user_id":"49063","abstract":[{"lang":"eng","text":"The construct of noticing is considered to be of crucial importance for professional action of (prospective) physical education (PE) teachers in the context of (inclusive) PE. In order to implement the demands of inclusive PE teaching, noticingwith regard to processes of recognition proves to be particularly significant. Due to the relevance of physicality, the design of recognition relationships that encourage pupils' development results in specific requirements for the selective attention and the theory-based interpretation of processes of recognition and disregard in complex teaching situations. This facet of competence has hardly been studied so far, partly due to the lack of instruments for standardised assessment of this construct. In the context of this paper, the development and validation of a standardised, video vignette-based test instrument for the measurement of noticingwith regard to processes of recognition of prospective PE teachers is presented. The validation focuses on the content of the test and the internal structure of the instrument as well as on correlations with related constructs in terms of content. The results from three consecutive validation studies provide indications of the reliability and validity of the test score interpretation of the instrument ViProQiS_A. The findings so far indicate that the standardised measurement of noticingwith regard to processes of recognitionin inclusive PE could be realized on the basis of the test instrument developed here."}],"article_type":"original","language":[{"iso":"eng"}],"doi":"10.1007/s12662-022-00807-0","date_updated":"2023-06-20T19:10:42Z","publication_identifier":{"eissn":["2509-3150"],"issn":["2509-3142"]},"publication_status":"published","department":[{"_id":"97"},{"_id":"611"}],"isi":"1","title":"Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education","external_id":{"isi":["000788945100004"]}},{"isi":"1","department":[{"_id":"611"},{"_id":"97"}],"publication_status":"published","publication_identifier":{"eissn":["1862-5215"],"issn":["1434-663X"]},"external_id":{"isi":["000852117800001"]},"title":"Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft","language":[{"iso":"ger"}],"date_updated":"2023-06-20T19:10:11Z","doi":"10.1007/s11618-022-01122-y","publication":"Zeitschrift für Erziehungswissenschaft","keyword":["Facilitator professional development","Early childhood teachers","Teaching","experience","Early mathematics education"],"quality_controlled":"1","publisher":"Springer Vieweg-springer Fachmedien Wiesbaden Gmbh","author":[{"full_name":"Hagena, Maike","first_name":"Maike","last_name":"Hagena"},{"orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia","first_name":"Julia","id":"72183","last_name":"Bruns"},{"last_name":"Gasteiger","full_name":"Gasteiger, Hedwig","first_name":"Hedwig"}],"date_created":"2022-12-22T09:22:45Z","status":"public","volume":25,"abstract":[{"lang":"eng","text":"Teachers expect facilitators to have own teaching experience as a teacher in order to be able to carry out effective teacher professional development programs. As part of the project EmMa(M), it is investigated, to which extent the teaching experience of facilitators influences the development of early childhood teachers' (n = 83) mathematical pedagogical content knowledge (MPCK) and early childhood teachers' enjoyment of mathematics in the context of a teacher professional development program. It turns out that the teaching experience of the facilitators has no influence on the development of early childhood teachers' MPCK, but favors the development of early childhood teachers' enjoyment of mathematics. Controlling for this increased enjoyment an influence of teaching experience on the development of early childhood teachers' MPCK emerges, but in favor of the participating facilitators who have no teaching experience but have a university degree."}],"article_type":"original","user_id":"49063","page":"1455–1480","year":"2022","citation":{"ieee":"M. Hagena, J. Bruns, and H. Gasteiger, “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft,” Zeitschrift für Erziehungswissenschaft, vol. 25, no. 6, pp. 1455–1480, 2022, doi: 10.1007/s11618-022-01122-y.","short":"M. Hagena, J. Bruns, H. Gasteiger, Zeitschrift für Erziehungswissenschaft 25 (2022) 1455–1480.","bibtex":"@article{Hagena_Bruns_Gasteiger_2022, title={Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft}, volume={25}, DOI={10.1007/s11618-022-01122-y}, number={6}, journal={Zeitschrift für Erziehungswissenschaft}, publisher={Springer Vieweg-springer Fachmedien Wiesbaden Gmbh}, author={Hagena, Maike and Bruns, Julia and Gasteiger, Hedwig}, year={2022}, pages={1455–1480} }","mla":"Hagena, Maike, et al. “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft.” Zeitschrift für Erziehungswissenschaft, vol. 25, no. 6, Springer Vieweg-springer Fachmedien Wiesbaden Gmbh, 2022, pp. 1455–1480, doi:10.1007/s11618-022-01122-y.","chicago":"Hagena, Maike, Julia Bruns, and Hedwig Gasteiger. “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft.” Zeitschrift für Erziehungswissenschaft 25, no. 6 (2022): 1455–1480. https://doi.org/10.1007/s11618-022-01122-y.","apa":"Hagena, M., Bruns, J., & Gasteiger, H. (2022). Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft. Zeitschrift für Erziehungswissenschaft, 25(6), 1455–1480. https://doi.org/10.1007/s11618-022-01122-y","ama":"Hagena M, Bruns J, Gasteiger H. Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft. Zeitschrift für Erziehungswissenschaft. 2022;25(6):1455–1480. doi:10.1007/s11618-022-01122-y"},"type":"journal_article","intvolume":" 25","_id":"34819","issue":"6"},{"title":"Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich","user_id":"49063","place":"Berlin, Heidelberg","publication_status":"published","publication_identifier":{"isbn":["9783662632130","9783662632147"]},"status":"public","date_created":"2023-01-12T14:51:59Z","author":[{"full_name":"Reuter, Dinah","first_name":"Dinah","last_name":"Reuter"},{"first_name":"Julia","orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia","last_name":"Bruns","id":"72183"}],"quality_controlled":"1","publisher":"Springer Berlin Heidelberg","department":[{"_id":"97"},{"_id":"611"}],"publication":"Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik","doi":"10.1007/978-3-662-63214-7_3","_id":"36472","date_updated":"2023-06-20T19:10:24Z","type":"book_chapter","year":"2022","citation":{"short":"D. Reuter, J. Bruns, in: Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2022.","ieee":"D. Reuter and J. Bruns, “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich,” in Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Berlin, Heidelberg: Springer Berlin Heidelberg, 2022.","chicago":"Reuter, Dinah, and Julia Bruns. “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich.” In Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. https://doi.org/10.1007/978-3-662-63214-7_3.","ama":"Reuter D, Bruns J. Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich. In: Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Springer Berlin Heidelberg; 2022. doi:10.1007/978-3-662-63214-7_3","apa":"Reuter, D., & Bruns, J. (2022). Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich. In Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-63214-7_3","mla":"Reuter, Dinah, and Julia Bruns. “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich.” Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Springer Berlin Heidelberg, 2022, doi:10.1007/978-3-662-63214-7_3.","bibtex":"@inbook{Reuter_Bruns_2022, place={Berlin, Heidelberg}, title={Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich}, DOI={10.1007/978-3-662-63214-7_3}, booktitle={Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik}, publisher={Springer Berlin Heidelberg}, author={Reuter, Dinah and Bruns, Julia}, year={2022} }"},"language":[{"iso":"ger"}]},{"publication_status":"published","volume":36,"date_created":"2023-05-29T17:25:47Z","status":"public","publication":"Applied Cognitive Psychology, ac3930","department":[{"_id":"97"}],"author":[{"first_name":"Johanna","full_name":"Schönherr, Johanna","last_name":"Schönherr","id":"99409"},{"full_name":"Schukajlow, S.","first_name":"S.","last_name":"Schukajlow"},{"last_name":"Blomberg","full_name":"Blomberg, J.","first_name":"J."},{"full_name":"Leopold, C.","first_name":"C.","last_name":"Leopold"}],"title":"Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy","user_id":"49063","extern":"1","page":"402-417","year":"2022","citation":{"ieee":"J. Schönherr, S. Schukajlow, J. Blomberg, and C. Leopold, “Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy,” Applied Cognitive Psychology, ac3930, vol. 36, no. 2, pp. 402–417, 2022, doi: 10.1002/acp.3930.","mla":"Schönherr, Johanna, et al. “Effects of Drawing Instructions and Strategic Knowledge on Mathematical Modeling Performance: Mediated by the Use of the Drawing Strategy.” Applied Cognitive Psychology, Ac3930, vol. 36, no. 2, 2022, pp. 402–17, doi:10.1002/acp.3930.","bibtex":"@article{Schönherr_Schukajlow_Blomberg_Leopold_2022, title={Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy}, volume={36}, DOI={10.1002/acp.3930}, number={2}, journal={Applied Cognitive Psychology, ac3930}, author={Schönherr, Johanna and Schukajlow, S. and Blomberg, J. and Leopold, C.}, year={2022}, pages={402–417} }","apa":"Schönherr, J., Schukajlow, S., Blomberg, J., & Leopold, C. (2022). Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy. Applied Cognitive Psychology, Ac3930, 36(2), 402–417. https://doi.org/10.1002/acp.3930","short":"J. Schönherr, S. Schukajlow, J. Blomberg, C. Leopold, Applied Cognitive Psychology, Ac3930 36 (2022) 402–417.","ama":"Schönherr J, Schukajlow S, Blomberg J, Leopold C. Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy. Applied Cognitive Psychology, ac3930. 2022;36(2):402-417. doi:10.1002/acp.3930","chicago":"Schönherr, Johanna, S. Schukajlow, J. Blomberg, and C. Leopold. “Effects of Drawing Instructions and Strategic Knowledge on Mathematical Modeling Performance: Mediated by the Use of the Drawing Strategy.” Applied Cognitive Psychology, Ac3930 36, no. 2 (2022): 402–17. https://doi.org/10.1002/acp.3930."},"type":"journal_article","language":[{"iso":"eng"}],"doi":"10.1002/acp.3930","issue":"2","_id":"45334","intvolume":" 36","date_updated":"2023-06-20T19:23:52Z"},{"page":"347–354","year":"2022","type":"conference","citation":{"ieee":"J. Schönherr, S. Schukajlow, and C. Leopold, “Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings,” in Proceedings of the 45th PME Conference, 2022, vol. 3, pp. 347–354.","short":"J. Schönherr, S. Schukajlow, C. Leopold, in: Proceedings of the 45th PME Conference, 2022, pp. 347–354.","bibtex":"@inproceedings{Schönherr_Schukajlow_Leopold_2022, title={Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings}, volume={3}, booktitle={Proceedings of the 45th PME Conference}, author={Schönherr, Johanna and Schukajlow, S. and Leopold, C.}, year={2022}, pages={347–354} }","mla":"Schönherr, Johanna, et al. “Drawing Instructions, Strategic Knowledge, Strategy-Based Motivation, and Students’ Use of Drawings.” Proceedings of the 45th PME Conference, vol. 3, 2022, pp. 347–354.","apa":"Schönherr, J., Schukajlow, S., & Leopold, C. (2022). Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings. Proceedings of the 45th PME Conference, 3, 347–354.","ama":"Schönherr J, Schukajlow S, Leopold C. Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings. In: Proceedings of the 45th PME Conference. Vol 3. ; 2022:347–354.","chicago":"Schönherr, Johanna, S. Schukajlow, and C. Leopold. “Drawing Instructions, Strategic Knowledge, Strategy-Based Motivation, and Students’ Use of Drawings.” In Proceedings of the 45th PME Conference, 3:347–354, 2022."},"language":[{"iso":"eng"}],"date_updated":"2023-06-20T19:27:24Z","_id":"45339","intvolume":" 3","publication_status":"published","volume":3,"date_created":"2023-05-29T17:34:03Z","status":"public","department":[{"_id":"97"}],"publication":"Proceedings of the 45th PME Conference","author":[{"first_name":"Johanna","full_name":"Schönherr, Johanna","last_name":"Schönherr","id":"99409"},{"full_name":"Schukajlow, S.","first_name":"S.","last_name":"Schukajlow"},{"last_name":"Leopold","first_name":"C.","full_name":"Leopold, C."}],"title":"Drawing instructions, strategic knowledge, strategy-based motivation, and students' use of drawings","user_id":"49063","extern":"1"},{"author":[{"first_name":"Markus","full_name":"Kirschmer, Markus","last_name":"Kirschmer","id":"82258"},{"first_name":"Gabriele","full_name":"Nebe, Gabriele","last_name":"Nebe"}],"publisher":"Informa UK Limited","keyword":["General Mathematics"],"publication":"Experimental Mathematics","status":"public","date_created":"2023-07-04T08:28:04Z","volume":31,"abstract":[{"lang":"eng","text":"In a previous paper the authors developed an algorithm to classify certain quaternary quadratic lattices over totally real fields. The present article applies this algorithm to the classification of binary Hermitian lattices over totally imaginary fields. We use it in particular to classify the 48-dimensional extremal even unimodular lattices over the integers that admit a semilarge automorphism."}],"user_id":"93826","citation":{"short":"M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301.","ieee":"M. Kirschmer and G. Nebe, “Binary Hermitian Lattices over Number Fields,” Experimental Mathematics, vol. 31, no. 1, pp. 280–301, 2022, doi: 10.1080/10586458.2019.1618756.","apa":"Kirschmer, M., & Nebe, G. (2022). Binary Hermitian Lattices over Number Fields. Experimental Mathematics, 31(1), 280–301. https://doi.org/10.1080/10586458.2019.1618756","ama":"Kirschmer M, Nebe G. Binary Hermitian Lattices over Number Fields. Experimental Mathematics. 2022;31(1):280-301. doi:10.1080/10586458.2019.1618756","chicago":"Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics 31, no. 1 (2022): 280–301. https://doi.org/10.1080/10586458.2019.1618756.","bibtex":"@article{Kirschmer_Nebe_2022, title={Binary Hermitian Lattices over Number Fields}, volume={31}, DOI={10.1080/10586458.2019.1618756}, number={1}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2022}, pages={280–301} }","mla":"Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics, vol. 31, no. 1, Informa UK Limited, 2022, pp. 280–301, doi:10.1080/10586458.2019.1618756."},"type":"journal_article","year":"2022","page":"280-301","intvolume":" 31","_id":"45854","issue":"1","department":[{"_id":"102"}],"publication_status":"published","publication_identifier":{"issn":["1058-6458","1944-950X"]},"title":"Binary Hermitian Lattices over Number Fields","language":[{"iso":"eng"}],"date_updated":"2023-07-04T08:29:22Z","doi":"10.1080/10586458.2019.1618756"},{"title":"Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation","publication_status":"published","publication_identifier":{"issn":["0944-2669","1432-0835"]},"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"doi":"10.1007/s00526-022-02201-y","date_updated":"2023-07-10T11:37:27Z","language":[{"iso":"eng"}],"user_id":"23686","volume":61,"status":"public","date_created":"2022-12-21T09:50:59Z","publisher":"Springer Science and Business Media LLC","author":[{"orcid":"0000-0001-9963-0800","full_name":"Black, Tobias","first_name":"Tobias","id":"23686","last_name":"Black"},{"full_name":"Wu, Chunyan","first_name":"Chunyan","last_name":"Wu"}],"keyword":["Applied Mathematics","Analysis"],"publication":"Calculus of Variations and Partial Differential Equations","article_number":"96","issue":"3","_id":"34677","intvolume":" 61","year":"2022","type":"journal_article","citation":{"bibtex":"@article{Black_Wu_2022, title={Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation}, volume={61}, DOI={10.1007/s00526-022-02201-y}, number={396}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2022} }","mla":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, 96, Springer Science and Business Media LLC, 2022, doi:10.1007/s00526-022-02201-y.","chicago":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations 61, no. 3 (2022). https://doi.org/10.1007/s00526-022-02201-y.","apa":"Black, T., & Wu, C. (2022). Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations, 61(3), Article 96. https://doi.org/10.1007/s00526-022-02201-y","ama":"Black T, Wu C. Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations. 2022;61(3). doi:10.1007/s00526-022-02201-y","ieee":"T. Black and C. Wu, “Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation,” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, Art. no. 96, 2022, doi: 10.1007/s00526-022-02201-y.","short":"T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022)."}},{"language":[{"iso":"eng"}],"year":"2022","citation":{"short":"T. Kolbe, L. Wessel, in: Fourth Conference of the International Network for Didactic Research in University Mathematics, 2022.","ieee":"T. Kolbe and L. Wessel, “Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies,” 2022.","chicago":"Kolbe, Tim, and Lena Wessel. “Self-Regulated Learning in a Mathematics Course for Engineers in the First Semester: Insights into Students Reported Resource Management and Cognitive Strategies.” In Fourth Conference of the International Network for Didactic Research in University Mathematics, 2022.","apa":"Kolbe, T., & Wessel, L. (2022). Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies. Fourth Conference of the International Network for Didactic Research in University Mathematics.","ama":"Kolbe T, Wessel L. Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies. In: Fourth Conference of the International Network for Didactic Research in University Mathematics. ; 2022.","bibtex":"@inproceedings{Kolbe_Wessel_2022, title={Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies}, booktitle={Fourth conference of the International Network for Didactic Research in University Mathematics}, author={Kolbe, Tim and Wessel, Lena}, year={2022} }","mla":"Kolbe, Tim, and Lena Wessel. “Self-Regulated Learning in a Mathematics Course for Engineers in the First Semester: Insights into Students Reported Resource Management and Cognitive Strategies.” Fourth Conference of the International Network for Didactic Research in University Mathematics, 2022."},"type":"conference","date_updated":"2023-07-26T11:03:25Z","_id":"46163","status":"public","date_created":"2023-07-26T10:58:42Z","author":[{"full_name":"Kolbe, Tim","first_name":"Tim","last_name":"Kolbe"},{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"publication":"Fourth conference of the International Network for Didactic Research in University Mathematics","user_id":"37888","title":"Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies"},{"ddc":["510"],"user_id":"85279","abstract":[{"lang":"eng","text":"In backward error analysis, an approximate solution to an equation is compared to the exact solution to a nearby ‘modified’ equation. In numerical ordinary differential equations, the two agree up to any power of the step size. If the differential equation has a geometric property then the modified equation may share it. In this way, known properties of differential equations can be applied to the approximation. But for partial differential equations, the known modified equations are of higher order, limiting applicability of the theory. Therefore, we study symmetric solutions of discretized\r\npartial differential equations that arise from a discrete variational principle. These symmetric solutions obey infinite-dimensional functional equations. We show that these equations admit second-order modified equations which are Hamiltonian and also possess first-order Lagrangians in modified coordinates. The modified equation and its associated structures are computed explicitly for the case of rotating travelling waves in the nonlinear wave equation."}],"article_type":"original","volume":14,"date_created":"2020-10-06T16:33:19Z","status":"public","has_accepted_license":"1","publication":"Journal of Geometric Mechanics","file_date_updated":"2022-06-13T09:11:38Z","publisher":"AIMS","author":[{"full_name":"McLachlan, Robert I","first_name":"Robert I","last_name":"McLachlan"},{"first_name":"Christian","orcid":"https://orcid.org/0000-0002-5940-8057","full_name":"Offen, Christian","last_name":"Offen","id":"85279"}],"file":[{"access_level":"open_access","date_created":"2022-06-13T09:11:38Z","file_name":"2_BlendedBEASymmPDE.pdf","file_size":1507248,"title":"Backward error analysis for variational discretisations of PDEs","content_type":"application/pdf","date_updated":"2022-06-13T09:11:38Z","description":"In backward error analysis, an approximate solution to an equa-\ntion is compared to the exact solution to a nearby ‘modified’ equation. In\nnumerical ordinary differential equations, the two agree up to any power of\nthe step size. If the differential equation has a geometric property then the\nmodified equation may share it. In this way, known properties of differential\nequations can be applied to the approximation. But for partial differential\nequations, the known modified equations are of higher order, limiting appli-\ncability of the theory. Therefore, we study symmetric solutions of discretized\npartial differential equations that arise from a discrete variational principle.\nThese symmetric solutions obey infinite-dimensional functional equations. We\nshow that these equations admit second-order modified equations which are\nHamiltonian and also possess first-order Lagrangians in modified coordinates.\nThe modified equation and its associated structures are computed explicitly\nfor the case of rotating travelling waves in the nonlinear wave equation.","relation":"main_file","creator":"coffen","file_id":"31859"}],"issue":"3","intvolume":" 14","_id":"19941","page":"447 - 471","type":"journal_article","citation":{"chicago":"McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.","ama":"McLachlan RI, Offen C. Backward error analysis for variational discretisations of partial differential equations. Journal of Geometric Mechanics. 2022;14(3):447-471. doi:10.3934/jgm.2022014","apa":"McLachlan, R. I., & Offen, C. (2022). Backward error analysis for variational discretisations of partial differential equations. Journal of Geometric Mechanics, 14(3), 447–471. https://doi.org/10.3934/jgm.2022014","bibtex":"@article{McLachlan_Offen_2022, title={Backward error analysis for variational discretisations of partial differential equations}, volume={14}, DOI={10.3934/jgm.2022014}, number={3}, journal={Journal of Geometric Mechanics}, publisher={AIMS}, author={McLachlan, Robert I and Offen, Christian}, year={2022}, pages={447–471} }","mla":"McLachlan, Robert I., and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics, vol. 14, no. 3, AIMS, 2022, pp. 447–71, doi:10.3934/jgm.2022014.","short":"R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.","ieee":"R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations of partial differential equations,” Journal of Geometric Mechanics, vol. 14, no. 3, pp. 447–471, 2022, doi: 10.3934/jgm.2022014."},"year":"2022","title":"Backward error analysis for variational discretisations of partial differential equations","related_material":{"link":[{"relation":"software","url":"https://github.com/Christian-Offen/multisymplectic"}]},"external_id":{"arxiv":["2006.14172"]},"publication_status":"published","department":[{"_id":"636"}],"doi":"10.3934/jgm.2022014","oa":"1","date_updated":"2023-08-10T08:44:55Z","language":[{"iso":"eng"}]},{"abstract":[{"text":"Hamiltonian systems are differential equations which describe systems in classical mechanics, plasma physics, and sampling problems. They exhibit many structural properties, such as a lack of attractors and the presence of conservation laws. To predict Hamiltonian dynamics based on discrete trajectory observations, incorporation of prior knowledge about Hamiltonian structure greatly improves predictions. This is typically done by learning the system's Hamiltonian and then integrating the Hamiltonian vector field with a symplectic integrator. For this, however, Hamiltonian data needs to be approximated based on the trajectory observations. Moreover, the numerical integrator introduces an additional discretisation error. In this paper, we show that an inverse modified Hamiltonian structure adapted to the geometric integrator can be learned directly from observations. A separate approximation step for the Hamiltonian data avoided. The inverse modified data compensates for the discretisation error such that the discretisation error is eliminated. The technique is developed for Gaussian Processes.","lang":"eng"}],"article_type":"original","user_id":"85279","ddc":["510"],"file":[{"access_level":"open_access","file_name":"SymplecticShadowIntegration_AIP.pdf","date_created":"2021-12-13T14:56:15Z","content_type":"application/pdf","date_updated":"2021-12-13T14:56:15Z","relation":"main_file","file_size":2285059,"creator":"coffen","file_id":"28734"}],"publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","file_date_updated":"2021-12-13T14:56:15Z","author":[{"id":"85279","last_name":"Offen","full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","first_name":"Christian"},{"last_name":"Ober-Blöbaum","id":"16494","first_name":"Sina","full_name":"Ober-Blöbaum, Sina"}],"quality_controlled":"1","publisher":"AIP","date_created":"2021-08-11T08:24:02Z","status":"public","has_accepted_license":"1","volume":"32(1)","_id":"23382","main_file_link":[{"open_access":"1","url":"https://aip.scitation.org/doi/abs/10.1063/5.0065913"}],"citation":{"ieee":"C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), 2022, doi: 10.1063/5.0065913.","short":"C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022).","bibtex":"@article{Offen_Ober-Blöbaum_2022, title={Symplectic integration of learned Hamiltonian systems}, volume={32(1)}, DOI={10.1063/5.0065913}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2022} }","mla":"Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), AIP, 2022, doi:10.1063/5.0065913.","ama":"Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2022;32(1). doi:10.1063/5.0065913","apa":"Offen, C., & Ober-Blöbaum, S. (2022). Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(1). https://doi.org/10.1063/5.0065913","chicago":"Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022). https://doi.org/10.1063/5.0065913."},"type":"journal_article","year":"2022","external_id":{"arxiv":["2108.02492"]},"related_material":{"link":[{"url":"https://github.com/Christian-Offen/symplectic-shadow-integration","description":"GitHub","relation":"software"}]},"title":"Symplectic integration of learned Hamiltonian systems","department":[{"_id":"636"}],"publication_status":"published","date_updated":"2023-08-10T08:48:14Z","oa":"1","doi":"10.1063/5.0065913","language":[{"iso":"eng"}]},{"title":"Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen","user_id":"85820","author":[{"full_name":"Dröse, Jennifer","first_name":"Jennifer","id":"85820","last_name":"Dröse"}],"publication":"Beiträge zum Mathematikunterricht","department":[{"_id":"98"}],"status":"public","date_created":"2023-01-27T19:00:01Z","_id":"40613","date_updated":"2023-08-15T06:04:03Z","type":"conference","year":"2022","citation":{"chicago":"Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches Denken von Drei Professionalisierungsgruppen.” In Beiträge Zum Mathematikunterricht, 2022.","apa":"Dröse, J. (2022). Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen. Beiträge Zum Mathematikunterricht.","ama":"Dröse J. Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen. In: Beiträge Zum Mathematikunterricht. ; 2022.","bibtex":"@inproceedings{Dröse_2022, title={Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen}, booktitle={Beiträge zum Mathematikunterricht}, author={Dröse, Jennifer}, year={2022} }","mla":"Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches Denken von Drei Professionalisierungsgruppen.” Beiträge Zum Mathematikunterricht, 2022.","short":"J. Dröse, in: Beiträge Zum Mathematikunterricht, 2022.","ieee":"J. Dröse, “Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen,” 2022."},"language":[{"iso":"eng"}]},{"publication":"Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","department":[{"_id":"543"}],"author":[{"first_name":"Lara Marie","full_name":"Graf, Lara Marie","last_name":"Graf","id":"89837"},{"first_name":"Uta","full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","id":"60267"},{"first_name":"Marcus","full_name":"Nührenbörger, Marcus","last_name":"Nührenbörger"},{"first_name":"Karina","full_name":"Höveler, Karina","last_name":"Höveler"}],"date_created":"2023-09-27T10:01:52Z","status":"public","title":"Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen","user_id":"44184","page":"773-776","type":"conference","citation":{"short":"L.M. Graf, U. Häsel-Weide, M. Nührenbörger, K. Höveler, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, 2022, pp. 773–776.","ieee":"L. M. Graf, U. Häsel-Weide, M. Nührenbörger, and K. Höveler, “Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen,” in Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Frankfurt am Main, 2022, pp. 773–776.","ama":"Graf LM, Häsel-Weide U, Nührenbörger M, Höveler K. Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen. In: IDMI-Primar Goethe-Universität Frankfurt, ed. Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. ; 2022:773-776.","apa":"Graf, L. M., Häsel-Weide, U., Nührenbörger, M., & Höveler, K. (2022). Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen. In IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (pp. 773–776).","chicago":"Graf, Lara Marie, Uta Häsel-Weide, Marcus Nührenbörger, and Karina Höveler. “Lernwege von Fachfremd Unterrichtenden Lehrkräften Zur Ablösung Vom Zählenden Rechnen.” In Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfurt, 773–76, 2022.","mla":"Graf, Lara Marie, et al. “Lernwege von Fachfremd Unterrichtenden Lehrkräften Zur Ablösung Vom Zählenden Rechnen.” Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfurt, 2022, pp. 773–76.","bibtex":"@inproceedings{Graf_Häsel-Weide_Nührenbörger_Höveler_2022, title={Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen}, booktitle={Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Graf, Lara Marie and Häsel-Weide, Uta and Nührenbörger, Marcus and Höveler, Karina}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2022}, pages={773–776} }"},"year":"2022","language":[{"iso":"eng"}],"conference":{"end_date":"02.09.2022","location":"Frankfurt am Main","start_date":"29.08.2022","name":"56. Jahrestagung der Gesellschaft für Didaktik der Mathematik"},"date_updated":"2023-09-27T10:02:12Z","_id":"47520","corporate_editor":["IDMI-Primar Goethe-Universität Frankfurt"]},{"status":"public","date_created":"2023-09-27T09:53:36Z","author":[{"first_name":"Imke","full_name":"Schwerin, Imke","last_name":"Schwerin","id":"48912"}],"publication":"Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","department":[{"_id":"543"}],"title":"Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis","user_id":"44184","citation":{"ama":"Schwerin I. Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis. In: IDMI-Primar Goethe-Universität Frankfurt, ed. Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. ; 2022:401-404.","apa":"Schwerin, I. (2022). Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis. In IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (pp. 401–404).","chicago":"Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen Und Verständnis.” In Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfurt, 401–4, 2022.","bibtex":"@inproceedings{Schwerin_2022, title={Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis}, booktitle={Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Schwerin, Imke}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2022}, pages={401–404} }","mla":"Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen Und Verständnis.” Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfurt, 2022, pp. 401–04.","short":"I. Schwerin, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, 2022, pp. 401–404.","ieee":"I. Schwerin, “Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis,” in Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Frankfurt am Main, 2022, pp. 401–404."},"year":"2022","type":"conference","page":"401-404","language":[{"iso":"eng"}],"corporate_editor":["IDMI-Primar Goethe-Universität Frankfurt"],"_id":"47519","date_updated":"2023-09-27T09:54:00Z","conference":{"end_date":"02.09.2022","location":"Frankfurt am Main","name":"56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","start_date":"29.08.2022"}},{"_id":"48407","date_updated":"2023-10-24T07:28:22Z","citation":{"bibtex":"@inbook{Dellori_Wessel_2022, place={Boston}, title={Pre-service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra}, booktitle={Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education}, publisher={MA}, author={Dellori, Anna and Wessel, Lena}, editor={Karunakaran, S.S. and Higgins, A.}, year={2022}, pages={1177} }","mla":"Dellori, Anna, and Lena Wessel. “Pre-Service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra.” Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education, edited by S.S. Karunakaran and A. Higgins, MA, 2022, p. 1177.","chicago":"Dellori, Anna, and Lena Wessel. “Pre-Service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra.” In Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education, edited by S.S. Karunakaran and A. Higgins, 1177. Boston: MA, 2022.","ama":"Dellori A, Wessel L. Pre-service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra. In: Karunakaran SS, Higgins A, eds. Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education. MA; 2022:1177.","apa":"Dellori, A., & Wessel, L. (2022). Pre-service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra. In S. S. Karunakaran & A. Higgins (Eds.), Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education (p. 1177). MA.","ieee":"A. Dellori and L. Wessel, “Pre-service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra,” in Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education, S. S. Karunakaran and A. Higgins, Eds. Boston: MA, 2022, p. 1177.","short":"A. Dellori, L. Wessel, in: S.S. Karunakaran, A. 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Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten. mathematik lehren. 2022;233:33-36.","apa":"Wessel, L., & Dröse, J. (2022). Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten. mathematik lehren, 233, 33–36.","bibtex":"@article{Wessel_Dröse_2022, title={Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten}, volume={233}, journal={mathematik lehren}, author={Wessel, Lena and Dröse, Jennifer}, year={2022}, pages={33–36} }","mla":"Wessel, Lena, and Jennifer Dröse. “Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten.” mathematik lehren, vol. 233, 2022, pp. 33–36.","short":"L. Wessel, J. Dröse, mathematik lehren 233 (2022) 33–36.","ieee":"L. Wessel and J. Dröse, “Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten,” mathematik lehren, vol. 233, pp. 33–36, 2022."},"page":"33-36","user_id":"37888","title":"Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten","status":"public","date_created":"2023-10-24T07:33:17Z","volume":233,"author":[{"id":"85190","last_name":"Wessel","full_name":"Wessel, Lena","first_name":"Lena"},{"last_name":"Dröse","id":"85820","first_name":"Jennifer","full_name":"Dröse, Jennifer"}],"publication":"mathematik lehren","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}]},{"publication":"Practice-Oriented Research in Tertiary Mathematics Education","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"author":[{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"},{"first_name":"Timo","full_name":"Leuders, Timo","last_name":"Leuders"}],"publisher":"Springer International Publishing","date_created":"2023-07-26T10:34:02Z","status":"public","publication_status":"published","publication_identifier":{"issn":["1869-4918","1869-4926"],"isbn":["9783031141744","9783031141751"]},"editor":[{"last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"},{"full_name":"Liebendörfer, Michael","first_name":"Michael","last_name":"Liebendörfer"},{"first_name":"G.","full_name":"Gueudet, G.","last_name":"Gueudet"},{"last_name":"Rasmussen","full_name":"Rasmussen, C.","first_name":"C."},{"last_name":"Winslow","first_name":"C.","full_name":"Winslow, C."}],"place":"Cham","user_id":"37888","title":"Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory","language":[{"iso":"eng"}],"page":"349-368","citation":{"chicago":"Wessel, Lena, and Timo Leuders. “Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory.” In Practice-Oriented Research in Tertiary Mathematics Education, edited by Rolf Biehler, Michael Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winslow, 349–68. Cham: Springer International Publishing, 2022. https://doi.org/10.1007/978-3-031-14175-1_17.","apa":"Wessel, L., & Leuders, T. (2022). Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory. In R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, & C. Winslow (Eds.), Practice-Oriented Research in Tertiary Mathematics Education (pp. 349–368). Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1_17","ama":"Wessel L, Leuders T. Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory. In: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winslow C, eds. Practice-Oriented Research in Tertiary Mathematics Education. 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Leuders, in: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winslow (Eds.), Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2022, pp. 349–368.","ieee":"L. Wessel and T. Leuders, “Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory,” in Practice-Oriented Research in Tertiary Mathematics Education, R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winslow, Eds. Cham: Springer International Publishing, 2022, pp. 349–368."},"type":"book_chapter","year":"2022","date_updated":"2023-10-30T09:00:53Z","_id":"46160","doi":"10.1007/978-3-031-14175-1_17"},{"main_file_link":[{"url":"http://dx.doi.org/10.17877/DE290R-23598"}],"language":[{"iso":"ger"}],"type":"journal_article","year":"2022","citation":{"chicago":"Dellori, Anna, and Lena Wessel. “Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra.” Beiträge zum Mathematikunterricht 2022, 2022, 665–68. https://doi.org/10.17877/DE290R-23598.","ama":"Dellori A, Wessel L. Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra. Beiträge zum Mathematikunterricht 2022. Published online 2022:665-668. doi:10.17877/DE290R-23598","apa":"Dellori, A., & Wessel, L. (2022). Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra. Beiträge zum Mathematikunterricht 2022, 665–668. https://doi.org/10.17877/DE290R-23598","mla":"Dellori, Anna, and Lena Wessel. “Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra.” Beiträge zum Mathematikunterricht 2022, LibreCat University, 2022, pp. 665–68, doi:10.17877/DE290R-23598.","bibtex":"@article{Dellori_Wessel_2022, title={Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra}, DOI={10.17877/DE290R-23598}, journal={Beiträge zum Mathematikunterricht 2022}, publisher={LibreCat University}, author={Dellori, Anna and Wessel, Lena}, year={2022}, pages={665–668} }","short":"A. Dellori, L. Wessel, Beiträge zum Mathematikunterricht 2022 (2022) 665–668.","ieee":"A. Dellori and L. Wessel, “Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra,” Beiträge zum Mathematikunterricht 2022, pp. 665–668, 2022, doi: 10.17877/DE290R-23598."},"page":"665-668","date_updated":"2023-10-31T09:32:18Z","_id":"48325","doi":"10.17877/DE290R-23598","author":[{"full_name":"Dellori, Anna","first_name":"Anna","last_name":"Dellori"},{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"}],"publisher":"LibreCat University","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"publication":"Beiträge zum Mathematikunterricht 2022","status":"public","date_created":"2023-10-19T09:37:24Z","user_id":"37888","title":"Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra"},{"language":[{"iso":"ger"}],"page":"209-225","citation":{"short":"J. Dröse, P. Neugebauer, R. Delucchi Danhier, B. Mertins, in: P. Kleine, N. Graulich, J. Kuhn, M. Schindler (Eds.), Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis, 2022, pp. 209–225.","ieee":"J. Dröse, P. Neugebauer, R. Delucchi Danhier, and B. Mertins, “Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen,” in Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis, P. Kleine, N. Graulich, J. Kuhn, and M. Schindler, Eds. 2022, pp. 209–225.","chicago":"Dröse, Jennifer, P. Neugebauer, R. Delucchi Danhier, and B. Mertins. “Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen.” In Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis, edited by P. Kleine, N. Graulich, J. Kuhn, and M. Schindler, 209–25, 2022. https://doi.org/10.1007/978-3-662-63214-7.","ama":"Dröse J, Neugebauer P, Delucchi Danhier R, Mertins B. Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen. In: Kleine P, Graulich N, Kuhn J, Schindler M, eds. Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis. ; 2022:209-225. doi:https://doi.org/10.1007/978-3-662-63214-7","apa":"Dröse, J., Neugebauer, P., Delucchi Danhier, R., & Mertins, B. (2022). Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen. In P. Kleine, N. Graulich, J. Kuhn, & M. Schindler (Eds.), Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis (pp. 209–225). https://doi.org/10.1007/978-3-662-63214-7","mla":"Dröse, Jennifer, et al. “Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen.” Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis, edited by P. Kleine et al., 2022, pp. 209–25, doi:https://doi.org/10.1007/978-3-662-63214-7.","bibtex":"@inbook{Dröse_Neugebauer_Delucchi Danhier_Mertins_2022, title={Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen}, DOI={https://doi.org/10.1007/978-3-662-63214-7}, booktitle={Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis}, author={Dröse, Jennifer and Neugebauer, P. and Delucchi Danhier, R. and Mertins, B.}, editor={Kleine, P. and Graulich, N. and Kuhn, J. and Schindler, M.}, year={2022}, pages={209–225} }"},"year":"2022","type":"book_chapter","doi":"https://doi.org/10.1007/978-3-662-63214-7","_id":"45373","date_updated":"2023-11-02T08:07:31Z","date_created":"2023-05-31T06:22:21Z","status":"public","editor":[{"full_name":"Kleine, P.","first_name":"P.","last_name":"Kleine"},{"last_name":"Graulich","full_name":"Graulich, N.","first_name":"N."},{"first_name":"J.","full_name":"Kuhn, J.","last_name":"Kuhn"},{"first_name":"M.","full_name":"Schindler, M.","last_name":"Schindler"}],"department":[{"_id":"98"}],"publication":"Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis","author":[{"full_name":"Dröse, Jennifer","first_name":"Jennifer","id":"85820","last_name":"Dröse"},{"last_name":"Neugebauer","first_name":"P.","full_name":"Neugebauer, P."},{"full_name":"Delucchi Danhier, R.","first_name":"R.","last_name":"Delucchi Danhier"},{"full_name":"Mertins, B.","first_name":"B.","last_name":"Mertins"}],"quality_controlled":"1","user_id":"85820","title":"Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen"},{"doi":"https://doi.org/10.1007/s10857-022-09538-3","_id":"45374","date_updated":"2023-11-02T08:07:42Z","language":[{"iso":"eng"}],"type":"journal_article","year":"2022","citation":{"ieee":"S. Prediger, J. Dröse, R. Stahnke, and C. Ademmer, “Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth,” Journal of Mathematics Teacher Education, 2022, doi: https://doi.org/10.1007/s10857-022-09538-3.","short":"S. Prediger, J. Dröse, R. Stahnke, C. Ademmer, Journal of Mathematics Teacher Education (2022).","mla":"Prediger, S., et al. “Teacher Expertise for Fostering At-Risk Students’ Understanding of Basic Concepts: Conceptual Model and Evidence for Growth.” Journal of Mathematics Teacher Education, 2022, doi:https://doi.org/10.1007/s10857-022-09538-3.","bibtex":"@article{Prediger_Dröse_Stahnke_Ademmer_2022, title={Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth}, DOI={https://doi.org/10.1007/s10857-022-09538-3}, journal={Journal of Mathematics Teacher Education}, author={Prediger, S. and Dröse, Jennifer and Stahnke, R. and Ademmer, C.}, year={2022} }","chicago":"Prediger, S., Jennifer Dröse, R. Stahnke, and C. Ademmer. “Teacher Expertise for Fostering At-Risk Students’ Understanding of Basic Concepts: Conceptual Model and Evidence for Growth.” Journal of Mathematics Teacher Education, 2022. https://doi.org/10.1007/s10857-022-09538-3.","ama":"Prediger S, Dröse J, Stahnke R, Ademmer C. Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth. Journal of Mathematics Teacher Education. Published online 2022. doi:https://doi.org/10.1007/s10857-022-09538-3","apa":"Prediger, S., Dröse, J., Stahnke, R., & Ademmer, C. (2022). Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-022-09538-3"},"user_id":"85820","title":"Teacher expertise for fostering at-risk students’ understanding of basic concepts: conceptual model and evidence for growth","status":"public","date_created":"2023-05-31T06:27:51Z","quality_controlled":"1","author":[{"full_name":"Prediger, S.","first_name":"S.","last_name":"Prediger"},{"full_name":"Dröse, Jennifer","first_name":"Jennifer","id":"85820","last_name":"Dröse"},{"full_name":"Stahnke, R.","first_name":"R.","last_name":"Stahnke"},{"last_name":"Ademmer","full_name":"Ademmer, C.","first_name":"C."}],"department":[{"_id":"98"}],"publication":"Journal of Mathematics Teacher Education"},{"language":[{"iso":"eng"}],"citation":{"ieee":"J. Dröse, B. Griese, and L. Wessel, “Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities,” 2022.","short":"J. Dröse, B. Griese, L. Wessel, in: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.","mla":"Dröse, Jennifer, et al. “Prosepctive Teachers‘ Diagnostic Judgements on Students’ under- Standing of Conditional Probabilities.” Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","bibtex":"@inproceedings{Dröse_Griese_Wessel_2022, place={Bozen-Bolzano, Italy}, title={Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities}, booktitle={Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Dröse, Jennifer and Griese, B. and Wessel, Lena}, year={2022} }","chicago":"Dröse, Jennifer, B. Griese, and Lena Wessel. “Prosepctive Teachers‘ Diagnostic Judgements on Students’ under- Standing of Conditional Probabilities.” In Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). Bozen-Bolzano, Italy, 2022.","ama":"Dröse J, Griese B, Wessel L. Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities. In: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022.","apa":"Dröse, J., Griese, B., & Wessel, L. (2022). Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)."},"year":"2022","type":"conference","date_updated":"2023-11-02T08:05:43Z","_id":"45379","status":"public","date_created":"2023-05-31T06:59:15Z","author":[{"last_name":"Dröse","id":"85820","first_name":"Jennifer","full_name":"Dröse, Jennifer"},{"last_name":"Griese","first_name":"B.","full_name":"Griese, B."},{"id":"85190","last_name":"Wessel","full_name":"Wessel, Lena","first_name":"Lena"}],"quality_controlled":"1","department":[{"_id":"98"}],"publication":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","user_id":"85820","title":"Prosepctive teachers‘ diagnostic judgements on students’ under- standing of conditional probabilities","place":"Bozen-Bolzano, Italy"},{"author":[{"last_name":"Vertovec","id":"93930","first_name":"Nikolaus","full_name":"Vertovec, Nikolaus"},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","id":"16494","last_name":"Ober-Blöbaum"},{"full_name":"Margellos, Kostas","first_name":"Kostas","last_name":"Margellos"}],"department":[{"_id":"636"}],"status":"public","has_accepted_license":"1","date_created":"2022-03-31T11:14:13Z","abstract":[{"lang":"eng","text":"Hamilton-Jacobi reachability methods for safety-critical control have been well studied, but the safety guarantees derived rely on the accuracy of the numerical computation. Thus, it is crucial to understand and account for any inaccuracies that occur due to uncertainty in the underlying dynamics and environment as well as the induced numerical errors. To this end, we propose a framework for modeling the error of the value function inherent in Hamilton-Jacobi reachability using a Gaussian process. The derived safety controller can be used in conjuncture with arbitrary controllers to provide a safe hybrid control law. The marginal likelihood of the Gaussian process then provides a confidence metric used to determine switches between a least restrictive controller and a safety controller. We test both the prediction as well as the correction capabilities of the presented method in a classical pursuit-evasion example."}],"user_id":"15694","title":"Verification of safety critical control policies using kernel methods","ddc":["510"],"language":[{"iso":"eng"}],"citation":{"chicago":"Vertovec, Nikolaus, Sina Ober-Blöbaum, and Kostas Margellos. “Verification of Safety Critical Control Policies Using Kernel Methods,” 1870–75, 2022.","apa":"Vertovec, N., Ober-Blöbaum, S., & Margellos, K. (2022). Verification of safety critical control policies using kernel methods. 1870–1875.","ama":"Vertovec N, Ober-Blöbaum S, Margellos K. Verification of safety critical control policies using kernel methods. In: ; 2022:1870-1875.","bibtex":"@inproceedings{Vertovec_Ober-Blöbaum_Margellos_2022, title={Verification of safety critical control policies using kernel methods}, author={Vertovec, Nikolaus and Ober-Blöbaum, Sina and Margellos, Kostas}, year={2022}, pages={1870–1875} }","mla":"Vertovec, Nikolaus, et al. Verification of Safety Critical Control Policies Using Kernel Methods. 2022, pp. 1870–75.","short":"N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: 2022, pp. 1870–1875.","ieee":"N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Verification of safety critical control policies using kernel methods,” London, 2022, pp. 1870–1875."},"type":"conference","year":"2022","page":"1870-1875","date_updated":"2023-11-29T10:00:18Z","_id":"30733","conference":{"name":"2022 European Control Conference (ECC)","start_date":"2022-07-12","location":"London","end_date":"2022-07-15"}},{"language":[{"iso":"eng"}],"citation":{"chicago":"Dellori, Anna, and Lena Wessel. “Design Principles for Intertwining Local and Nonlocal Mathematics - The Case of Relating Registers and Representations in Abstract Algebra.” In Proceedings of INDRUM2022, edited by M. Trigueros, B. Barquero, R. Hochmuth, and J. Peters, 572–73, 2022.","ama":"Dellori A, Wessel L. Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra. In: Trigueros M, Barquero B, Hochmuth R, Peters J, eds. Proceedings of INDRUM2022. ; 2022:572-573.","apa":"Dellori, A., & Wessel, L. (2022). Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra. In M. Trigueros, B. Barquero, R. Hochmuth, & J. Peters (Eds.), Proceedings of INDRUM2022 (pp. 572–573).","mla":"Dellori, Anna, and Lena Wessel. “Design Principles for Intertwining Local and Nonlocal Mathematics - The Case of Relating Registers and Representations in Abstract Algebra.” Proceedings of INDRUM2022, edited by M. Trigueros et al., 2022, pp. 572–73.","bibtex":"@inbook{Dellori_Wessel_2022, title={Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra}, booktitle={Proceedings of INDRUM2022}, author={Dellori, Anna and Wessel, Lena}, editor={Trigueros, M. and Barquero, B. and Hochmuth, R. and Peters, J.}, year={2022}, pages={572–573} }","short":"A. Dellori, L. Wessel, in: M. Trigueros, B. Barquero, R. Hochmuth, J. Peters (Eds.), Proceedings of INDRUM2022, 2022, pp. 572–573.","ieee":"A. Dellori and L. Wessel, “Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra,” in Proceedings of INDRUM2022, M. Trigueros, B. Barquero, R. Hochmuth, and J. Peters, Eds. 2022, pp. 572–573."},"year":"2022","type":"book_chapter","page":"572-573","date_updated":"2023-10-23T09:43:48Z","_id":"48385","status":"public","date_created":"2023-10-23T09:40:30Z","editor":[{"last_name":"Trigueros","full_name":"Trigueros, M.","first_name":"M."},{"last_name":"Barquero","full_name":"Barquero, B.","first_name":"B."},{"last_name":"Hochmuth","full_name":"Hochmuth, R.","first_name":"R."},{"first_name":"J.","full_name":"Peters, J.","last_name":"Peters"}],"author":[{"full_name":"Dellori, Anna","first_name":"Anna","last_name":"Dellori"},{"last_name":"Wessel","id":"85190","first_name":"Lena","full_name":"Wessel, Lena"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"publication":"Proceedings of INDRUM2022","user_id":"37888","title":"Design principles for intertwining local and nonlocal mathematics - The case of relating registers and representations in abstract algebra"},{"language":[{"iso":"eng"}],"citation":{"mla":"Dröse, Jennifer, and Susanne Prediger. “Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements.” Journal Für Mathematik-Didaktik, Springer Science and Business Media LLC, 2022, doi:10.1007/s13138-022-00214-w.","bibtex":"@article{Dröse_Prediger_2022, title={Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements}, DOI={10.1007/s13138-022-00214-w}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science and Business Media LLC}, author={Dröse, Jennifer and Prediger, Susanne}, year={2022} }","chicago":"Dröse, Jennifer, and Susanne Prediger. “Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements.” Journal Für Mathematik-Didaktik, 2022. https://doi.org/10.1007/s13138-022-00214-w.","apa":"Dröse, J., & Prediger, S. (2022). Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements. Journal Für Mathematik-Didaktik. https://doi.org/10.1007/s13138-022-00214-w","ama":"Dröse J, Prediger S. Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements. Journal für Mathematik-Didaktik. Published online 2022. doi:10.1007/s13138-022-00214-w","ieee":"J. Dröse and S. Prediger, “Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements,” Journal für Mathematik-Didaktik, 2022, doi: 10.1007/s13138-022-00214-w.","short":"J. Dröse, S. Prediger, Journal Für Mathematik-Didaktik (2022)."},"type":"journal_article","year":"2022","_id":"40607","date_updated":"2023-11-02T08:05:14Z","doi":"10.1007/s13138-022-00214-w","quality_controlled":"1","publisher":"Springer Science and Business Media LLC","author":[{"last_name":"Dröse","full_name":"Dröse, Jennifer","first_name":"Jennifer"},{"full_name":"Prediger, Susanne","first_name":"Susanne","last_name":"Prediger"}],"publication":"Journal für Mathematik-Didaktik","keyword":["Education","General Mathematics"],"department":[{"_id":"98"}],"status":"public","date_created":"2023-01-27T18:47:24Z","publication_status":"published","publication_identifier":{"issn":["0173-5322","1869-2699"]},"abstract":[{"lang":"eng","text":"AbstractTeachers’ in-depth diagnostic thinking has been shown to be crucial for student-centered teaching as they need to perceive and interpret students’ understanding for well-informed decision-making on adaptive teaching practices. The paper presents a content-related approach to analyzing diagnostic thinking processes with respect to the mathematical knowledge elements that prospective teachers identify as students’ resources and obstacles. Prospective teachers’ challenge is that some relevant knowledge elements first have to be unpacked, because compact concepts (such as the place value concept) or procedures (such as for multi-digit multiplication) comprise several smaller knowledge elements (such as the positional property) that have to be made explicit for students to foster their learning processes adequately. Our study examines what knowledge elements prospective teachers perceive and interpret in a transcript vignettes on multi-digit multiplication (of decimal and natural numbers) and its underlying basic arithmetic concepts (place value understanding and meaning of multiplication) in written diagnostic judgments on students’ resources and obstacles (N = 196). A comparative design within the vignette is used to investigate how far the process of perceiving can be supported by thematic cues. The analysis reveals that those knowledge elements cued in the vignette by being already unpacked and explicitly addressed are perceived and interpreted more often (but with lower correctness) than those that are uncued and therefore have to be unpacked by the prospective teachers themselves. This confirms the need to prepare prospective teachers for unpacking mathematical concepts themselves."}],"user_id":"85820","title":"Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements"},{"main_file_link":[{"url":"https://hal.science/hal-03744585/"}],"type":"conference","citation":{"short":"J. Dröse, B. Griese, L. Wessel, in: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","ieee":"J. Dröse, B. Griese, and L. Wessel, “Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities,” presented at the TwelfthCongressoftheEuropeanSocietyforResearchin Mathematics Education(CERME12), Bozen-Bolzano,Italy, 2022.","apa":"Dröse, J., Griese, B., & Wessel, L. (2022). Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). TwelfthCongressoftheEuropeanSocietyforResearchin Mathematics Education(CERME12), Bozen-Bolzano,Italy.","ama":"Dröse J, Griese B, Wessel L. Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities. In: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022.","chicago":"Dröse, Jennifer, Birgit Griese, and Lena Wessel. “Prospective Teachers’ Diagnostic Judgments on Students’ Understanding of Conditional Probabilities.” In Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","bibtex":"@inproceedings{Dröse_Griese_Wessel_2022, title={Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities}, booktitle={Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Dröse, Jennifer and Griese, Birgit and Wessel, Lena}, year={2022} }","mla":"Dröse, Jennifer, et al. “Prospective Teachers’ Diagnostic Judgments on Students’ Understanding of Conditional Probabilities.” Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022."},"year":"2022","language":[{"iso":"eng"}],"_id":"48389","date_updated":"2023-11-02T08:04:55Z","conference":{"location":"Bozen-Bolzano,Italy","name":"TwelfthCongressoftheEuropeanSocietyforResearchin Mathematics Education(CERME12)","start_date":"Feb2022"},"quality_controlled":"1","author":[{"full_name":"Dröse, Jennifer","first_name":"Jennifer","id":"85820","last_name":"Dröse"},{"last_name":"Griese","full_name":"Griese, Birgit","first_name":"Birgit"},{"id":"85190","last_name":"Wessel","full_name":"Wessel, Lena","first_name":"Lena"}],"publication":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"status":"public","date_created":"2023-10-23T10:56:02Z","title":"Prospective teachers’ diagnostic judgments on students’ understanding of conditional probabilities","user_id":"85820"},{"_id":"45378","date_updated":"2023-11-02T08:05:31Z","language":[{"iso":"eng"}],"citation":{"mla":"Dröse, Jennifer, and Lena Wessel. “Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task.” Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME, edited by C. Fernandez et al., 2022.","bibtex":"@inproceedings{Dröse_Wessel_2022, title={Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task}, booktitle={Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME}, author={Dröse, Jennifer and Wessel, Lena}, editor={Fernandez, C. and Llinares, S. and Gutiérrez, A. and Planas, N.}, year={2022} }","chicago":"Dröse, Jennifer, and Lena Wessel. “Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task.” In Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME, edited by C. Fernandez, S. Llinares, A. Gutiérrez, and N. Planas, 2022.","ama":"Dröse J, Wessel L. Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task. In: Fernandez C, Llinares S, Gutiérrez A, Planas N, eds. Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME. ; 2022.","apa":"Dröse, J., & Wessel, L. (2022). Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task. In C. Fernandez, S. Llinares, A. Gutiérrez, & N. Planas (Eds.), Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME.","ieee":"J. Dröse and L. Wessel, “Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task,” in Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME, 2022.","short":"J. Dröse, L. Wessel, in: C. Fernandez, S. Llinares, A. Gutiérrez, N. Planas (Eds.), Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME, 2022."},"type":"conference","year":"2022","user_id":"85820","title":"Prospective Teachers‘ Competence of Fostering Students’ Understanding in Script Writing Task","date_created":"2023-05-31T06:54:24Z","status":"public","editor":[{"first_name":"C.","full_name":"Fernandez, C.","last_name":"Fernandez"},{"full_name":"Llinares, S.","first_name":"S.","last_name":"Llinares"},{"last_name":"Gutiérrez","full_name":"Gutiérrez, A.","first_name":"A."},{"first_name":"N.","full_name":"Planas, N.","last_name":"Planas"}],"department":[{"_id":"98"}],"publication":"Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. PME","author":[{"first_name":"Jennifer","full_name":"Dröse, Jennifer","last_name":"Dröse","id":"85820"},{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"}],"quality_controlled":"1"},{"publication":"Journal of Physics A: Mathematical and Theoretical","author":[{"full_name":"Barkhofen, Sonja","first_name":"Sonja","id":"48188","last_name":"Barkhofen"},{"full_name":"Schütte, Philipp","first_name":"Philipp","id":"50168","last_name":"Schütte"},{"last_name":"Weich","id":"49178","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias"}],"publisher":"IOP Publishing Ltd","volume":55,"date_created":"2022-05-04T12:23:11Z","status":"public","abstract":[{"lang":"eng","text":"In this paper we give an overview over some aspects of the modern mathematical theory of Ruelle resonances for chaotic, i.e. uniformly hyperbolic, dynamical systems and their implications in physics. First we recall recent developments in the mathematical theory of resonances, in particular how invariant Ruelle distributions arise as residues of weighted zeta functions. Then we derive a correspondence between weighted and semiclassical zeta functions in the setting of negatively curved surfaces. Combining this with results of Hilgert, Guillarmou and Weich yields a high frequency interpretation of invariant Ruelle distributions as quantum mechanical matrix coefficients in constant negative curvature. We finish by presenting numerical calculations of phase space distributions in the more physical setting of 3-disk scattering systems."}],"article_type":"review","user_id":"49178","year":"2022","type":"journal_article","citation":{"ama":"Barkhofen S, Schütte P, Weich T. Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical. 2022;55(24). doi:10.1088/1751-8121/ac6d2b","apa":"Barkhofen, S., Schütte, P., & Weich, T. (2022). Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical, 55(24), Article 244007. https://doi.org/10.1088/1751-8121/ac6d2b","chicago":"Barkhofen, Sonja, Philipp Schütte, and Tobias Weich. “Semiclassical Formulae For Wigner Distributions.” Journal of Physics A: Mathematical and Theoretical 55, no. 24 (2022). https://doi.org/10.1088/1751-8121/ac6d2b.","mla":"Barkhofen, Sonja, et al. “Semiclassical Formulae For Wigner Distributions.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 24, 244007, IOP Publishing Ltd, 2022, doi:10.1088/1751-8121/ac6d2b.","bibtex":"@article{Barkhofen_Schütte_Weich_2022, title={Semiclassical formulae For Wigner distributions}, volume={55}, DOI={10.1088/1751-8121/ac6d2b}, number={24244007}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing Ltd}, author={Barkhofen, Sonja and Schütte, Philipp and Weich, Tobias}, year={2022} }","short":"S. Barkhofen, P. Schütte, T. Weich, Journal of Physics A: Mathematical and Theoretical 55 (2022).","ieee":"S. Barkhofen, P. Schütte, and T. Weich, “Semiclassical formulae For Wigner distributions,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 24, Art. no. 244007, 2022, doi: 10.1088/1751-8121/ac6d2b."},"_id":"31057","intvolume":" 55","article_number":"244007","issue":"24","department":[{"_id":"623"},{"_id":"548"},{"_id":"10"}],"external_id":{"arxiv":["2201.04892"]},"title":"Semiclassical formulae For Wigner distributions","language":[{"iso":"eng"}],"date_updated":"2024-02-06T20:40:45Z","doi":"10.1088/1751-8121/ac6d2b"},{"page":"410","type":"dissertation","citation":{"short":"M. Hoffmann, Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie Für Lehramtsstudierende, 2022.","ieee":"M. Hoffmann, Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie für Lehramtsstudierende. 2022.","chicago":"Hoffmann, Max. Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie Für Lehramtsstudierende, 2022. https://doi.org/10.17619/UNIPB/1-1313.","apa":"Hoffmann, M. (2022). Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie für Lehramtsstudierende. https://doi.org/10.17619/UNIPB/1-1313","ama":"Hoffmann M. Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie Für Lehramtsstudierende.; 2022. doi:10.17619/UNIPB/1-1313","bibtex":"@book{Hoffmann_2022, title={Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie für Lehramtsstudierende}, DOI={10.17619/UNIPB/1-1313}, author={Hoffmann, Max}, year={2022} }","mla":"Hoffmann, Max. Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie Für Lehramtsstudierende. 2022, doi:10.17619/UNIPB/1-1313."},"year":"2022","supervisor":[{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler"},{"id":"220","last_name":"Hilgert","full_name":"Hilgert, Joachim","first_name":"Joachim"}],"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://digital.ub.uni-paderborn.de/hs/content/titleinfo/6503170","open_access":"1"}],"doi":"10.17619/UNIPB/1-1313","oa":"1","date_updated":"2024-02-19T06:28:58Z","_id":"31363","date_created":"2022-05-22T10:56:47Z","status":"public","department":[{"_id":"97"}],"author":[{"last_name":"Hoffmann","id":"32202","first_name":"Max","full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123"}],"title":"Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie für Lehramtsstudierende","user_id":"49063","abstract":[{"text":"Vorgestellt wird ein Entwicklungsforschungsprojekt zur Konzeption und Durchführung einer Veranstaltung \"Geometrie für Lehramtsstudierende\". Die Schwerpunkte des Projekts sind zum einen die inhaltliche Gestaltung der Veranstaltung und zum anderen die Umsetzung von Professionsorientierung. Bezogen auf den inhaltlichen Aufbau wird das auf metrischen Räumen aufbauende Axiomensystem der \"Saccheri-Ebene\" vorgestellt und mit alternativen axiomatischen Zugängen zur ebenen Geometrie verglichen. Die Frage nach der Umsetzung von Professionsorientierung in Fachveranstaltungen ist eng mit der Problematik der zweiten Diskontinuität verbunden. In der Arbeit wird dieses Problem auf Grundlage der Synthese von theoretischen Hintergründen zur Bedeutung von mathematischem Wissen und Können für professionelle Handlungskompetenz von Mathematiklehrkräften diskutiert und darauf aufbauend werden theoriebasierte Entwurfsprinzipien für professionsorientierte Fachveranstaltungen entworfen. Zentrale Elemente der methodischen Gestaltung sind die sogenannten \"Schnittstellenwochen\" zu den Themen Kongruenz und Symmetrie sowie das begleitende Schnittstellen-ePortfolio. Das zentrale Ergebnis der Arbeit ist ein theoretisch fundiertes und empirisch evaluiertes ganzheitliches Veranstaltungskonzept für eine professionsorientierte Geometrie-Veranstaltung für Lehramtsstudierende, dessen Konzeption auf andere Fachveranstaltungen übertragbar ist. Darüber hinaus ergeben sich im Rahmen der durchgeführten Entwicklungsforschung verschiedene neue Beiträge zur Geometriedidaktik in Schule- und Hochschule.","lang":"eng"},{"text":"This thesis presents a design research project on the conception and implementation of a course \"Geometry for Student Teachers\". The focal points of the project are, on the one hand, the content structure of the course and, on the other hand, the implementation of professional orientation. With regard to the content structure, the axiom system of the \"Saccheri plane\", which is based on metric spaces, is presented and compared with alternative axiomatic approaches to plane geometry. The question of implementing professional orientation in mathematics courses is closely connected to the problem of the second discontinuity. In the paper, this problem is discussed on the basis of the synthesis of theoretical backgrounds on the importance of mathematical knowledge and skills for professional competence of mathematics teachers. Building on this, theory-based design principles for profession-oriented subject courses are developed. Central elements of the methodological design are the so-called \"interface weeks\" on the topics of congruence and symmetry and an accompanying interface ePortfolio. The central result of the thesis is a theoretically founded and empirically evaluated holistic course concept for a profession-oriented geometry course for student teachers, the conception of which is transferable to other subject events. In addition, various new contributions to the didactics of geometry in schools and universities result from the desing research.","lang":"eng"}]},{"volume":12,"status":"public","date_created":"2023-01-06T08:49:06Z","author":[{"full_name":"Bux, Kai-Uwe","first_name":"Kai-Uwe","last_name":"Bux"},{"last_name":"Hilgert","id":"220","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"last_name":"Weich","id":"49178","first_name":"Tobias","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919"}],"publisher":"European Mathematical Society - EMS - Publishing House GmbH","keyword":["Geometry and Topology","Mathematical Physics","Statistical and Nonlinear Physics"],"publication":"Journal of Spectral Theory","user_id":"49063","year":"2022","citation":{"mla":"Bux, Kai-Uwe, et al. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory, vol. 12, no. 2, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 659–81, doi:10.4171/jst/414.","bibtex":"@article{Bux_Hilgert_Weich_2022, title={Poisson transforms for trees of bounded degree}, volume={12}, DOI={10.4171/jst/414}, number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2022}, pages={659–681} }","chicago":"Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory 12, no. 2 (2022): 659–81. https://doi.org/10.4171/jst/414.","apa":"Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414","ama":"Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree. Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414","ieee":"K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi: 10.4171/jst/414.","short":"K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681."},"type":"journal_article","page":"659-681","issue":"2","intvolume":" 12","_id":"35322","publication_status":"published","publication_identifier":{"issn":["1664-039X"]},"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"title":"Poisson transforms for trees of bounded degree","language":[{"iso":"eng"}],"doi":"10.4171/jst/414","date_updated":"2024-02-19T06:28:12Z"},{"user_id":"49063","title":"Poisson transforms for trees of bounded degree","date_created":"2024-02-19T06:36:17Z","status":"public","volume":12,"publication_status":"published","department":[{"_id":"91"}],"publication":"J. of Spectral Theory","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","last_name":"Hilgert","id":"220"},{"orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","first_name":"Tobias","id":"49178","last_name":"Weich"},{"full_name":"Bux, K.-U.","first_name":"K.-U.","last_name":"Bux"}],"_id":"51385","intvolume":" 12","date_updated":"2024-02-19T06:36:21Z","language":[{"iso":"eng"}],"page":"659-681","citation":{"ieee":"J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded degree,” J. of Spectral Theory, vol. 12, pp. 659–681, 2022.","short":"J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.","mla":"Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.” J. of Spectral Theory, vol. 12, 2022, pp. 659–81.","bibtex":"@article{Hilgert_Weich_Bux_2022, title={Poisson transforms for trees of bounded degree}, volume={12}, journal={J. of Spectral Theory}, author={Hilgert, Joachim and Weich, Tobias and Bux, K.-U.}, year={2022}, pages={659–681} }","apa":"Hilgert, J., Weich, T., & Bux, K.-U. (2022). Poisson transforms for trees of bounded degree. J. of Spectral Theory, 12, 659–681.","ama":"Hilgert J, Weich T, Bux K-U. Poisson transforms for trees of bounded degree. J of Spectral Theory. 2022;12:659-681.","chicago":"Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for Trees of Bounded Degree.” J. of Spectral Theory 12 (2022): 659–81."},"year":"2022","type":"journal_article"},{"language":[{"iso":"eng"}],"year":"2022","type":"review","citation":{"ieee":"J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021,” Mathematische Semesterberichte, vol. 69. pp. 151–153, 2022, doi: 10.1007/s00591-021-00314-7.","short":"J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.","bibtex":"@article{Hilgert_2022, title={Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021}, volume={69}, DOI={10.1007/s00591-021-00314-7}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2022}, pages={151–153} }","mla":"Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, vol. 69, 2022, pp. 151–153, doi:10.1007/s00591-021-00314-7.","chicago":"Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, 2022. https://doi.org/10.1007/s00591-021-00314-7.","ama":"Hilgert J. Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. Mathematische Semesterberichte. 2022;69:151–153. doi:10.1007/s00591-021-00314-7","apa":"Hilgert, J. (2022). Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. In Mathematische Semesterberichte (Vol. 69, pp. 151–153). https://doi.org/10.1007/s00591-021-00314-7"},"page":"151–153","date_updated":"2024-02-20T09:52:53Z","_id":"51554","intvolume":" 69","doi":"10.1007/s00591-021-00314-7","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","last_name":"Hilgert","id":"220"}],"publication":"Mathematische Semesterberichte","department":[{"_id":"91"}],"status":"public","date_created":"2024-02-20T09:49:04Z","volume":69,"publication_status":"published","user_id":"49063","title":"Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021"},{"language":[{"iso":"ger"}],"type":"conference","year":"2022","citation":{"bibtex":"@inproceedings{Werth_2022, place={Münster}, title={Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings}, DOI={https://doi.org/10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht}, publisher={WTM}, author={Werth, Gerda}, year={2022} }","mla":"Werth, Gerda. “Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings.” Beiträge zum Mathematikunterricht, WTM, 2022, doi:https://doi.org/10.37626/GA9783959872089.0.","ama":"Werth G. Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings. In: Beiträge zum Mathematikunterricht. WTM; 2022. doi:https://doi.org/10.37626/GA9783959872089.0","apa":"Werth, G. (2022). Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings. Beiträge zum Mathematikunterricht. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Frankfurt am. Main. https://doi.org/10.37626/GA9783959872089.0","chicago":"Werth, Gerda. “Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings.” In Beiträge zum Mathematikunterricht. Münster: WTM, 2022. https://doi.org/10.37626/GA9783959872089.0.","ieee":"G. Werth, “Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings,” presented at the 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Frankfurt am. Main, 2022, doi: https://doi.org/10.37626/GA9783959872089.0.","short":"G. Werth, in: Beiträge zum Mathematikunterricht, WTM, Münster, 2022."},"doi":"https://doi.org/10.37626/GA9783959872089.0","conference":{"location":"Frankfurt am. Main","start_date":"2022-08-29","name":"56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","end_date":"2022-09-02"},"_id":"52574","date_updated":"2024-03-14T11:19:43Z","date_created":"2024-03-14T11:17:56Z","status":"public","publication_status":"published","department":[{"_id":"98"}],"publication":"Beiträge zum Mathematikunterricht","author":[{"id":"578","last_name":"Werth","full_name":"Werth, Gerda","first_name":"Gerda"}],"publisher":"WTM","user_id":"578","title":"Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings","place":"Münster"},{"title":"Tensor-based computation of metastable and coherent sets","user_id":"81513","publication_status":"published","publication_identifier":{"issn":["0167-2789"]},"date_created":"2021-09-12T08:51:24Z","status":"public","publication":"Physica D: Nonlinear Phenomena","department":[{"_id":"101"}],"author":[{"first_name":"Feliks","full_name":"Nüske, Feliks","orcid":"0000-0003-2444-7889","last_name":"Nüske","id":"81513"},{"last_name":"Gelß","first_name":"Patrick","full_name":"Gelß, Patrick"},{"full_name":"Klus, Stefan","first_name":"Stefan","last_name":"Klus"},{"full_name":"Clementi, Cecilia","first_name":"Cecilia","last_name":"Clementi"}],"doi":"10.1016/j.physd.2021.133018","article_number":"133018","date_updated":"2022-01-06T06:56:08Z","_id":"24169","citation":{"bibtex":"@article{Nüske_Gelß_Klus_Clementi_2021, title={Tensor-based computation of metastable and coherent sets}, DOI={10.1016/j.physd.2021.133018}, number={133018}, journal={Physica D: Nonlinear Phenomena}, author={Nüske, Feliks and Gelß, Patrick and Klus, Stefan and Clementi, Cecilia}, year={2021} }","mla":"Nüske, Feliks, et al. “Tensor-Based Computation of Metastable and Coherent Sets.” Physica D: Nonlinear Phenomena, 133018, 2021, doi:10.1016/j.physd.2021.133018.","apa":"Nüske, F., Gelß, P., Klus, S., & Clementi, C. (2021). Tensor-based computation of metastable and coherent sets. Physica D: Nonlinear Phenomena, Article 133018. https://doi.org/10.1016/j.physd.2021.133018","ama":"Nüske F, Gelß P, Klus S, Clementi C. Tensor-based computation of metastable and coherent sets. Physica D: Nonlinear Phenomena. Published online 2021. doi:10.1016/j.physd.2021.133018","chicago":"Nüske, Feliks, Patrick Gelß, Stefan Klus, and Cecilia Clementi. “Tensor-Based Computation of Metastable and Coherent Sets.” Physica D: Nonlinear Phenomena, 2021. https://doi.org/10.1016/j.physd.2021.133018.","ieee":"F. Nüske, P. Gelß, S. Klus, and C. Clementi, “Tensor-based computation of metastable and coherent sets,” Physica D: Nonlinear Phenomena, Art. no. 133018, 2021, doi: 10.1016/j.physd.2021.133018.","short":"F. Nüske, P. Gelß, S. Klus, C. Clementi, Physica D: Nonlinear Phenomena (2021)."},"type":"journal_article","year":"2021","language":[{"iso":"eng"}]},{"date_updated":"2022-01-06T06:56:08Z","_id":"24170","doi":"10.1088/2632-2153/ac14ad","article_number":"045016","year":"2021","type":"journal_article","citation":{"ieee":"S. Klus, P. Gelß, F. Nüske, and F. Noé, “Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry,” Machine Learning: Science and Technology, Art. no. 045016, 2021, doi: 10.1088/2632-2153/ac14ad.","short":"S. Klus, P. Gelß, F. Nüske, F. Noé, Machine Learning: Science and Technology (2021).","mla":"Klus, Stefan, et al. “Symmetric and Antisymmetric Kernels for Machine Learning Problems in Quantum Physics and Chemistry.” Machine Learning: Science and Technology, 045016, 2021, doi:10.1088/2632-2153/ac14ad.","bibtex":"@article{Klus_Gelß_Nüske_Noé_2021, title={Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry}, DOI={10.1088/2632-2153/ac14ad}, number={045016}, journal={Machine Learning: Science and Technology}, author={Klus, Stefan and Gelß, Patrick and Nüske, Feliks and Noé, Frank}, year={2021} }","apa":"Klus, S., Gelß, P., Nüske, F., & Noé, F. (2021). Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry. Machine Learning: Science and Technology, Article 045016. https://doi.org/10.1088/2632-2153/ac14ad","ama":"Klus S, Gelß P, Nüske F, Noé F. Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry. Machine Learning: Science and Technology. Published online 2021. doi:10.1088/2632-2153/ac14ad","chicago":"Klus, Stefan, Patrick Gelß, Feliks Nüske, and Frank Noé. “Symmetric and Antisymmetric Kernels for Machine Learning Problems in Quantum Physics and Chemistry.” Machine Learning: Science and Technology, 2021. https://doi.org/10.1088/2632-2153/ac14ad."},"language":[{"iso":"eng"}],"title":"Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry","user_id":"81513","publication":"Machine Learning: Science and Technology","department":[{"_id":"101"}],"author":[{"first_name":"Stefan","full_name":"Klus, Stefan","last_name":"Klus"},{"first_name":"Patrick","full_name":"Gelß, Patrick","last_name":"Gelß"},{"first_name":"Feliks","full_name":"Nüske, Feliks","orcid":"0000-0003-2444-7889","last_name":"Nüske","id":"81513"},{"last_name":"Noé","first_name":"Frank","full_name":"Noé, Frank"}],"publication_status":"published","publication_identifier":{"issn":["2632-2153"]},"date_created":"2021-09-12T08:52:57Z","status":"public"},{"user_id":"32643","title":"Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults","date_created":"2021-02-08T13:16:07Z","status":"public","publication":"Cognitive Neurodynamics","department":[{"_id":"101"}],"author":[{"last_name":"Goelz","first_name":"Christian","full_name":"Goelz, Christian"},{"first_name":"Karin","full_name":"Mora, Karin","last_name":"Mora"},{"last_name":"Stroehlein","first_name":"Julia Kristin","full_name":"Stroehlein, Julia Kristin"},{"last_name":"Haase","full_name":"Haase, Franziska Katharina","first_name":"Franziska Katharina"},{"full_name":"Dellnitz, Michael","first_name":"Michael","last_name":"Dellnitz"},{"full_name":"Reinsberger, Claus","first_name":"Claus","last_name":"Reinsberger"},{"first_name":"Solveig","full_name":"Vieluf, Solveig","last_name":"Vieluf"}],"doi":"10.1007/s11571-020-09656-9","_id":"21195","date_updated":"2022-01-06T06:54:49Z","language":[{"iso":"eng"}],"year":"2021","citation":{"chicago":"Goelz, Christian, Karin Mora, Julia Kristin Stroehlein, Franziska Katharina Haase, Michael Dellnitz, Claus Reinsberger, and Solveig Vieluf. “Electrophysiological Signatures of Dedifferentiation Differ between Fit and Less Fit Older Adults.” Cognitive Neurodynamics, 2021. https://doi.org/10.1007/s11571-020-09656-9.","ama":"Goelz C, Mora K, Stroehlein JK, et al. Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. Cognitive Neurodynamics. 2021. doi:10.1007/s11571-020-09656-9","apa":"Goelz, C., Mora, K., Stroehlein, J. K., Haase, F. K., Dellnitz, M., Reinsberger, C., & Vieluf, S. (2021). Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. Cognitive Neurodynamics. https://doi.org/10.1007/s11571-020-09656-9","mla":"Goelz, Christian, et al. “Electrophysiological Signatures of Dedifferentiation Differ between Fit and Less Fit Older Adults.” Cognitive Neurodynamics, 2021, doi:10.1007/s11571-020-09656-9.","bibtex":"@article{Goelz_Mora_Stroehlein_Haase_Dellnitz_Reinsberger_Vieluf_2021, title={Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults}, DOI={10.1007/s11571-020-09656-9}, journal={Cognitive Neurodynamics}, author={Goelz, Christian and Mora, Karin and Stroehlein, Julia Kristin and Haase, Franziska Katharina and Dellnitz, Michael and Reinsberger, Claus and Vieluf, Solveig}, year={2021} }","short":"C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger, S. Vieluf, Cognitive Neurodynamics (2021).","ieee":"C. Goelz et al., “Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults,” Cognitive Neurodynamics, 2021."},"type":"journal_article","main_file_link":[{"url":"https://link.springer.com/content/pdf/10.1007/s11571-020-09656-9.pdf"}]},{"date_updated":"2022-01-06T06:54:55Z","oa":"1","doi":"10.3390/mca26020031","language":[{"iso":"eng"}],"title":"Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models","department":[{"_id":"101"},{"_id":"655"}],"publication_status":"published","publication_identifier":{"eissn":["2297-8747"]},"intvolume":" 26","_id":"21337","issue":"2","article_number":"31","main_file_link":[{"open_access":"1","url":"https://www.mdpi.com/2297-8747/26/2/31/pdf"}],"type":"journal_article","citation":{"chicago":"Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models.” Mathematical and Computational Applications 26, no. 2 (2021). https://doi.org/10.3390/mca26020031.","ama":"Berkemeier MB, Peitz S. Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models. Mathematical and Computational Applications. 2021;26(2). doi:10.3390/mca26020031","apa":"Berkemeier, M. B., & Peitz, S. (2021). Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models. Mathematical and Computational Applications, 26(2). https://doi.org/10.3390/mca26020031","bibtex":"@article{Berkemeier_Peitz_2021, title={Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models}, volume={26}, DOI={10.3390/mca26020031}, number={231}, journal={Mathematical and Computational Applications}, author={Berkemeier, Manuel Bastian and Peitz, Sebastian}, year={2021} }","mla":"Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models.” Mathematical and Computational Applications, vol. 26, no. 2, 31, 2021, doi:10.3390/mca26020031.","short":"M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26 (2021).","ieee":"M. B. Berkemeier and S. Peitz, “Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models,” Mathematical and Computational Applications, vol. 26, no. 2, 2021."},"year":"2021","abstract":[{"lang":"eng","text":"We present a flexible trust region descend algorithm for unconstrained and\r\nconvexly constrained multiobjective optimization problems. It is targeted at\r\nheterogeneous and expensive problems, i.e., problems that have at least one\r\nobjective function that is computationally expensive. The method is\r\nderivative-free in the sense that neither need derivative information be\r\navailable for the expensive objectives nor are gradients approximated using\r\nrepeated function evaluations as is the case in finite-difference methods.\r\nInstead, a multiobjective trust region approach is used that works similarly to\r\nits well-known scalar pendants. Local surrogate models constructed from\r\nevaluation data of the true objective functions are employed to compute\r\npossible descent directions. In contrast to existing multiobjective trust\r\nregion algorithms, these surrogates are not polynomial but carefully\r\nconstructed radial basis function networks. This has the important advantage\r\nthat the number of data points scales linearly with the parameter space\r\ndimension. The local models qualify as fully linear and the corresponding\r\ngeneral scalar framework is adapted for problems with multiple objectives.\r\nConvergence to Pareto critical points is proven and numerical examples\r\nillustrate our findings."}],"user_id":"47427","publication":"Mathematical and Computational Applications","author":[{"id":"51701","last_name":"Berkemeier","full_name":"Berkemeier, Manuel Bastian","first_name":"Manuel Bastian"},{"full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","first_name":"Sebastian","id":"47427","last_name":"Peitz"}],"date_created":"2021-03-01T10:46:48Z","status":"public","volume":26},{"status":"public","date_created":"2021-04-28T18:07:56Z","publication_status":"published","publication_identifier":{"issn":["1099-4300"]},"author":[{"last_name":"Nüske","id":"81513","first_name":"Feliks","full_name":"Nüske, Feliks","orcid":"0000-0003-2444-7889"},{"first_name":"Péter","full_name":"Koltai, Péter","last_name":"Koltai"},{"last_name":"Boninsegna","full_name":"Boninsegna, Lorenzo","first_name":"Lorenzo"},{"first_name":"Cecilia","full_name":"Clementi, Cecilia","last_name":"Clementi"}],"department":[{"_id":"101"}],"publication":"Entropy","user_id":"81513","title":"Spectral Properties of Effective Dynamics from Conditional Expectations","abstract":[{"text":"The reduction of high-dimensional systems to effective models on a smaller set of variables is an essential task in many areas of science. For stochastic dynamics governed by diffusion processes, a general procedure to find effective equations is the conditioning approach. In this paper, we are interested in the spectrum of the generator of the resulting effective dynamics, and how it compares to the spectrum of the full generator. We prove a new relative error bound in terms of the eigenfunction approximation error for reversible systems. We also present numerical examples indicating that, if Kramers–Moyal (KM) type approximations are used to compute the spectrum of the reduced generator, it seems largely insensitive to the time window used for the KM estimators. We analyze the implications of these observations for systems driven by underdamped Langevin dynamics, and show how meaningful effective dynamics can be defined in this setting.","lang":"eng"}],"language":[{"iso":"eng"}],"year":"2021","type":"journal_article","citation":{"ama":"Nüske F, Koltai P, Boninsegna L, Clementi C. Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy. 2021. doi:10.3390/e23020134","apa":"Nüske, F., Koltai, P., Boninsegna, L., & Clementi, C. (2021). Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy. https://doi.org/10.3390/e23020134","chicago":"Nüske, Feliks, Péter Koltai, Lorenzo Boninsegna, and Cecilia Clementi. “Spectral Properties of Effective Dynamics from Conditional Expectations.” Entropy, 2021. https://doi.org/10.3390/e23020134.","mla":"Nüske, Feliks, et al. “Spectral Properties of Effective Dynamics from Conditional Expectations.” Entropy, 134, 2021, doi:10.3390/e23020134.","bibtex":"@article{Nüske_Koltai_Boninsegna_Clementi_2021, title={Spectral Properties of Effective Dynamics from Conditional Expectations}, DOI={10.3390/e23020134}, number={134}, journal={Entropy}, author={Nüske, Feliks and Koltai, Péter and Boninsegna, Lorenzo and Clementi, Cecilia}, year={2021} }","short":"F. Nüske, P. Koltai, L. Boninsegna, C. Clementi, Entropy (2021).","ieee":"F. Nüske, P. Koltai, L. Boninsegna, and C. Clementi, “Spectral Properties of Effective Dynamics from Conditional Expectations,” Entropy, 2021."},"main_file_link":[{"open_access":"1","url":"https://www.mdpi.com/1099-4300/23/2/134"}],"oa":"1","article_number":"134","doi":"10.3390/e23020134","date_updated":"2022-01-06T06:55:16Z","_id":"21820"},{"intvolume":" 188","_id":"16867","main_file_link":[{"open_access":"1","url":"https://link.springer.com/content/pdf/10.1007/s10957-020-01803-w.pdf"}],"page":"696-723","citation":{"apa":"Gebken, B., & Peitz, S. (2021). An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications, 188, 696–723. https://doi.org/10.1007/s10957-020-01803-w","ama":"Gebken B, Peitz S. An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications. 2021;188:696-723. doi:10.1007/s10957-020-01803-w","chicago":"Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” Journal of Optimization Theory and Applications 188 (2021): 696–723. https://doi.org/10.1007/s10957-020-01803-w.","bibtex":"@article{Gebken_Peitz_2021, title={An efficient descent method for locally Lipschitz multiobjective optimization problems}, volume={188}, DOI={10.1007/s10957-020-01803-w}, journal={Journal of Optimization Theory and Applications}, author={Gebken, Bennet and Peitz, Sebastian}, year={2021}, pages={696–723} }","mla":"Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” Journal of Optimization Theory and Applications, vol. 188, 2021, pp. 696–723, doi:10.1007/s10957-020-01803-w.","short":"B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188 (2021) 696–723.","ieee":"B. Gebken and S. Peitz, “An efficient descent method for locally Lipschitz multiobjective optimization problems,” Journal of Optimization Theory and Applications, vol. 188, pp. 696–723, 2021."},"year":"2021","type":"journal_article","abstract":[{"text":"In this article, we present an efficient descent method for locally Lipschitz\r\ncontinuous multiobjective optimization problems (MOPs). The method is realized\r\nby combining a theoretical result regarding the computation of descent\r\ndirections for nonsmooth MOPs with a practical method to approximate the\r\nsubdifferentials of the objective functions. We show convergence to points\r\nwhich satisfy a necessary condition for Pareto optimality. Using a set of test\r\nproblems, we compare our method to the multiobjective proximal bundle method by\r\nM\\\"akel\\\"a. The results indicate that our method is competitive while being\r\neasier to implement. While the number of objective function evaluations is\r\nlarger, the overall number of subgradient evaluations is lower. Finally, we\r\nshow that our method can be combined with a subdivision algorithm to compute\r\nentire Pareto sets of nonsmooth MOPs.","lang":"eng"}],"user_id":"47427","publication":"Journal of Optimization Theory and Applications","author":[{"first_name":"Bennet","full_name":"Gebken, Bennet","last_name":"Gebken","id":"32643"},{"id":"47427","last_name":"Peitz","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian","first_name":"Sebastian"}],"volume":188,"date_created":"2020-04-27T09:11:22Z","status":"public","date_updated":"2022-01-06T06:52:57Z","doi":"10.1007/s10957-020-01803-w","oa":"1","language":[{"iso":"eng"}],"title":"An efficient descent method for locally Lipschitz multiobjective optimization problems","department":[{"_id":"101"}],"publication_status":"published"},{"abstract":[{"lang":"eng","text":"It is a challenging task to identify the objectives on which a certain decision was based, in particular if several, potentially conflicting criteria are equally important and a continuous set of optimal compromise decisions exists. This task can be understood as the inverse problem of multiobjective optimization, where the goal is to find the objective function vector of a given Pareto set. To this end, we present a method to construct the objective function vector of an unconstrained multiobjective optimization problem (MOP) such that the Pareto critical set contains a given set of data points with prescribed KKT multipliers. If such an MOP can not be found, then the method instead produces an MOP whose Pareto critical set is at least close to the data points. The key idea is to consider the objective function vector in the multiobjective KKT conditions as variable and then search for the objectives that minimize the Euclidean norm of the resulting system of equations. By expressing the objectives in a finite-dimensional basis, we transform this problem into a homogeneous, linear system of equations that can be solved efficiently. Potential applications of this approach include the identification of objectives (both from clean and noisy data) and the construction of surrogate models for expensive MOPs."}],"user_id":"47427","publisher":"Springer","author":[{"last_name":"Gebken","id":"32643","first_name":"Bennet","full_name":"Gebken, Bennet"},{"first_name":"Sebastian","orcid":"https://orcid.org/0000-0002-3389-793X","full_name":"Peitz, Sebastian","last_name":"Peitz","id":"47427"}],"publication":"Journal of Global Optimization","volume":80,"status":"public","date_created":"2020-03-13T12:45:05Z","_id":"16295","intvolume":" 80","main_file_link":[{"open_access":"1","url":"https://link.springer.com/content/pdf/10.1007/s10898-020-00983-z.pdf"}],"citation":{"bibtex":"@article{Gebken_Peitz_2021, title={Inverse multiobjective optimization: Inferring decision criteria from data}, volume={80}, DOI={10.1007/s10898-020-00983-z}, journal={Journal of Global Optimization}, publisher={Springer}, author={Gebken, Bennet and Peitz, Sebastian}, year={2021}, pages={3–29} }","mla":"Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” Journal of Global Optimization, vol. 80, Springer, 2021, pp. 3–29, doi:10.1007/s10898-020-00983-z.","apa":"Gebken, B., & Peitz, S. (2021). Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization, 80, 3–29. https://doi.org/10.1007/s10898-020-00983-z","ama":"Gebken B, Peitz S. Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization. 2021;80:3-29. doi:10.1007/s10898-020-00983-z","chicago":"Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” Journal of Global Optimization 80 (2021): 3–29. https://doi.org/10.1007/s10898-020-00983-z.","ieee":"B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision criteria from data,” Journal of Global Optimization, vol. 80, pp. 3–29, 2021.","short":"B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29."},"year":"2021","type":"journal_article","page":"3-29","title":"Inverse multiobjective optimization: Inferring decision criteria from data","department":[{"_id":"101"}],"date_updated":"2022-01-06T06:52:48Z","doi":"10.1007/s10898-020-00983-z","oa":"1","language":[{"iso":"eng"}]},{"date_updated":"2022-06-20T13:40:30Z","_id":"32057","doi":"10.17619/UNIPB/1-1278","oa":"1","main_file_link":[{"open_access":"1","url":"https://digital.ub.uni-paderborn.de/hs/download/pdf/6214949"}],"citation":{"chicago":"Gerlach, Raphael. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021. https://doi.org/10.17619/UNIPB/1-1278.","apa":"Gerlach, R. (2021). The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. https://doi.org/10.17619/UNIPB/1-1278","ama":"Gerlach R. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems.; 2021. doi:10.17619/UNIPB/1-1278","mla":"Gerlach, Raphael. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. 2021, doi:10.17619/UNIPB/1-1278.","bibtex":"@book{Gerlach_2021, title={The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems}, DOI={10.17619/UNIPB/1-1278}, author={Gerlach, Raphael}, year={2021} }","short":"R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.","ieee":"R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. 2021."},"type":"dissertation","year":"2021","language":[{"iso":"eng"}],"supervisor":[{"last_name":"Dellnitz ","first_name":"Michael","full_name":"Dellnitz , Michael"},{"full_name":"Koltai, Péter","first_name":"Péter","last_name":"Koltai"}],"abstract":[{"text":"Ein zentraler Aspekt bei der Untersuchung dynamischer Systeme ist die Analyse ihrer invarianten Mengen wie des globalen Attraktors und (in)stabiler Mannigfaltigkeiten. Insbesondere wenn das zugrunde liegende System von einem Parameter abhängt, ist es entscheidend, sie im Bezug auf diesen Parameter effizient zu verfolgen. Für die Berechnung invarianter Mengen stützen wir uns für ihre Approximation auf numerische Algorithmen. Typischerweise können diese Methoden jedoch nur auf endlich-dimensionale dynamische Systeme angewendet werden. In dieser Arbeit präsentieren wir daher einen numerischen Rahmen für die globale dynamische Analyse unendlich-dimensionaler Systeme. Wir werden Einbettungstechniken verwenden, um das core dynamical system (CDS) zu definieren, welches ein dynamisch äquivalentes endlich-dimensionales System ist.Das CDS wird dann verwendet, um eingebettete invariante Mengen, also eins-zu-eins Bilder, mittels Mengen-orientierten numerischen Methoden zu approximieren. Bei der Konstruktion des CDS ist es entscheidend, eine geeignete Beobachtungsabbildung auszuwählen und die geeignete inverse Abbildung zu entwerfen. Dazu werden wir geeignete numerische Implementierungen des CDS für DDEs und PDEs vorstellen. Für eine nachfolgende geometrische Analyse der eingebetteten invarianten Menge betrachten wir eine Lerntechnik namens diffusion maps, die ihre intrinsische Geometrie enthüllt sowie ihre Dimension schätzt. Schließlich wenden wir unsere entwickelten numerischen Methoden an einigen bekannten unendlich-dimensionale dynamischen Systeme an, wie die Mackey-Glass-Gleichung, die Kuramoto-Sivashinsky-Gleichung und die Navier-Stokes-Gleichung.","lang":"ger"},{"text":"One central aspect in the study of dynamical systems is the analysis of its invariant sets such as the global attractor and (un)stable manifolds. In particular, when the underlying system depends on a parameter it is crucial to efficiently track those set with respect to this parameter. For the computation of invariant sets we rely on numerical algorithms for their approximation but typically those tools can only be applied to finite-dimensional dynamical systems. Thus, in thesis we present a numerical framework for the global dynamical analysis of infinite-dimensional systems. We will use embedding techniques for the definition of the core dynamical system (CDS) which is a dynamically equivalent finite-dimensional system. The CDS is then used for the approximation of related embedded invariant sets, i.e, one-to-one images, by set-oriented numerical methods. For the construction of the CDS it is crucial to choose an appropriate observation map and to design its corresponding inverse. Therefore, we will present suitable numerical realizations of the CDS for DDEs and PDEs. For a subsequent geometric analysis of the embedded invariant set we will consider a manifold learning technique called diffusion maps which reveals its intrinsic geometry and estimates its dimension. Finally, we apply our develop numerical tools on some well-known infinite-dimensional dynamical systems such as the Mackey-Glass equation, the Kuramoto-Sivashinsky equation and the Navier-Stokes equation.","lang":"eng"}],"title":"The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems","user_id":"32643","department":[{"_id":"101"}],"author":[{"first_name":"Raphael","full_name":"Gerlach, Raphael","last_name":"Gerlach","id":"32655"}],"date_created":"2022-06-20T09:54:24Z","status":"public"},{"doi":"10.4310/JSG.2021.v19.n6.a1","date_updated":"2022-06-21T11:54:50Z","language":[{"iso":"eng"}],"title":"Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions","publication_identifier":{"unknown":["1540-2347","1527-5256"]},"publication_status":"published","department":[{"_id":"548"}],"issue":"6","_id":"32016","intvolume":" 19","page":"1281 - 1337","citation":{"ama":"Delarue B, Ramacher P. Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions. Journal of Symplectic Geometry. 2021;19(6):1281-1337. doi:10.4310/JSG.2021.v19.n6.a1","apa":"Delarue, B., & Ramacher, P. (2021). Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions. Journal of Symplectic Geometry, 19(6), 1281–1337. https://doi.org/10.4310/JSG.2021.v19.n6.a1","chicago":"Delarue, Benjamin, and Pablo Ramacher. “Asymptotic Expansion of Generalized Witten Integrals for Hamiltonian Circle Actions.” Journal of Symplectic Geometry 19, no. 6 (2021): 1281–1337. https://doi.org/10.4310/JSG.2021.v19.n6.a1.","mla":"Delarue, Benjamin, and Pablo Ramacher. “Asymptotic Expansion of Generalized Witten Integrals for Hamiltonian Circle Actions.” Journal of Symplectic Geometry, vol. 19, no. 6, 2021, pp. 1281–337, doi:10.4310/JSG.2021.v19.n6.a1.","bibtex":"@article{Delarue_Ramacher_2021, title={Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions}, volume={19}, DOI={10.4310/JSG.2021.v19.n6.a1}, number={6}, journal={Journal of Symplectic Geometry}, author={Delarue, Benjamin and Ramacher, Pablo}, year={2021}, pages={1281–1337} }","short":"B. Delarue, P. Ramacher, Journal of Symplectic Geometry 19 (2021) 1281–1337.","ieee":"B. Delarue and P. Ramacher, “Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions,” Journal of Symplectic Geometry, vol. 19, no. 6, pp. 1281–1337, 2021, doi: 10.4310/JSG.2021.v19.n6.a1."},"year":"2021","type":"journal_article","user_id":"70575","article_type":"original","volume":19,"date_created":"2022-06-20T08:46:56Z","status":"public","publication":"Journal of Symplectic Geometry","author":[{"last_name":"Delarue","id":"70575","first_name":"Benjamin","full_name":"Delarue, Benjamin"},{"full_name":"Ramacher, Pablo","first_name":"Pablo","last_name":"Ramacher"}]},{"date_updated":"2022-11-09T08:44:37Z","doi":"10.1016/j.jctb.2021.11.001","language":[{"iso":"eng"}],"title":"Nowhere-zero 3-flows in toroidal graphs","department":[{"_id":"542"}],"publication_identifier":{"issn":["0095-8956"]},"publication_status":"published","_id":"34042","intvolume":" 153","page":"61-80","type":"journal_article","citation":{"bibtex":"@article{Li_Ma_Miao_Shi_Wang_Zhang_2021, title={Nowhere-zero 3-flows in toroidal graphs}, volume={153}, DOI={10.1016/j.jctb.2021.11.001}, journal={Journal of Combinatorial Theory, Series B}, publisher={Elsevier BV}, author={Li, Jiaao and Ma, Yulai and Miao, Zhengke and Shi, Yongtang and Wang, Weifan and Zhang, Cun-Quan}, year={2021}, pages={61–80} }","mla":"Li, Jiaao, et al. “Nowhere-Zero 3-Flows in Toroidal Graphs.” Journal of Combinatorial Theory, Series B, vol. 153, Elsevier BV, 2021, pp. 61–80, doi:10.1016/j.jctb.2021.11.001.","ieee":"J. Li, Y. Ma, Z. Miao, Y. Shi, W. Wang, and C.-Q. Zhang, “Nowhere-zero 3-flows in toroidal graphs,” Journal of Combinatorial Theory, Series B, vol. 153, pp. 61–80, 2021, doi: 10.1016/j.jctb.2021.11.001.","chicago":"Li, Jiaao, Yulai Ma, Zhengke Miao, Yongtang Shi, Weifan Wang, and Cun-Quan Zhang. “Nowhere-Zero 3-Flows in Toroidal Graphs.” Journal of Combinatorial Theory, Series B 153 (2021): 61–80. https://doi.org/10.1016/j.jctb.2021.11.001.","ama":"Li J, Ma Y, Miao Z, Shi Y, Wang W, Zhang C-Q. Nowhere-zero 3-flows in toroidal graphs. Journal of Combinatorial Theory, Series B. 2021;153:61-80. doi:10.1016/j.jctb.2021.11.001","apa":"Li, J., Ma, Y., Miao, Z., Shi, Y., Wang, W., & Zhang, C.-Q. (2021). Nowhere-zero 3-flows in toroidal graphs. Journal of Combinatorial Theory, Series B, 153, 61–80. https://doi.org/10.1016/j.jctb.2021.11.001","short":"J. Li, Y. Ma, Z. Miao, Y. Shi, W. Wang, C.-Q. Zhang, Journal of Combinatorial Theory, Series B 153 (2021) 61–80."},"year":"2021","user_id":"15540","keyword":["Computational Theory and Mathematics","Discrete Mathematics and Combinatorics","Theoretical Computer Science"],"publication":"Journal of Combinatorial Theory, Series B","publisher":"Elsevier BV","author":[{"full_name":"Li, Jiaao","first_name":"Jiaao","last_name":"Li"},{"first_name":"Yulai","full_name":"Ma, Yulai","last_name":"Ma","id":"92748"},{"last_name":"Miao","full_name":"Miao, Zhengke","first_name":"Zhengke"},{"last_name":"Shi","full_name":"Shi, Yongtang","first_name":"Yongtang"},{"last_name":"Wang","full_name":"Wang, Weifan","first_name":"Weifan"},{"first_name":"Cun-Quan","full_name":"Zhang, Cun-Quan","last_name":"Zhang"}],"date_created":"2022-11-09T08:43:55Z","status":"public","volume":153},{"citation":{"chicago":"Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” Journal of Algebra 570 (2021): 164–214. https://doi.org/10.1016/j.jalgebra.2020.11.007.","ama":"Glöckner H, Willis GA. Decompositions of locally compact contraction groups, series and extensions. Journal of Algebra. 2021;570:164-214. doi:https://doi.org/10.1016/j.jalgebra.2020.11.007","apa":"Glöckner, H., & Willis, G. A. (2021). Decompositions of locally compact contraction groups, series and extensions. Journal of Algebra, 570, 164–214. https://doi.org/10.1016/j.jalgebra.2020.11.007","bibtex":"@article{Glöckner_Willis_2021, title={Decompositions of locally compact contraction groups, series and extensions}, volume={570}, DOI={https://doi.org/10.1016/j.jalgebra.2020.11.007}, journal={Journal of Algebra}, author={Glöckner, Helge and Willis, George A.}, year={2021}, pages={164–214} }","mla":"Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” Journal of Algebra, vol. 570, 2021, pp. 164–214, doi:https://doi.org/10.1016/j.jalgebra.2020.11.007.","short":"H. Glöckner, G.A. Willis, Journal of Algebra 570 (2021) 164–214.","ieee":"H. Glöckner and G. A. Willis, “Decompositions of locally compact contraction groups, series and extensions,” Journal of Algebra, vol. 570, pp. 164–214, 2021, doi: https://doi.org/10.1016/j.jalgebra.2020.11.007."},"year":"2021","type":"journal_article","page":"164-214","_id":"34786","intvolume":" 570","quality_controlled":"1","author":[{"id":"178","last_name":"Glöckner","full_name":"Glöckner, Helge","first_name":"Helge"},{"last_name":"Willis","full_name":"Willis, George A.","first_name":"George A."}],"keyword":["Contraction group","Torsion group","Extension","Cocycle","Section","Equivariant cohomology","Abelian group","Nilpotent group","Isomorphism types"],"publication":"Journal of Algebra","volume":570,"status":"public","date_created":"2022-12-21T18:43:08Z","article_type":"original","abstract":[{"text":"A locally compact contraction group is a pair (G,α), where G is a locally compact group and α:G→G an automorphism such that αn(x)→e pointwise as n→∞. We show that every surjective, continuous, equivariant homomorphism between locally compact contraction groups admits an equivariant continuous global section. As a consequence, extensions of locally compact contraction groups with abelian kernel can be described by continuous equivariant cohomology. For each prime number p, we use 2-cocycles to construct uncountably many pairwise non-isomorphic totally disconnected, locally compact contraction groups (G,α) which are central extensions0→Fp((t))→G→Fp((t))→0 of the additive group of the field of formal Laurent series over Fp=Z/pZ by itself. By contrast, there are only countably many locally compact contraction groups (up to isomorphism) which are torsion groups and abelian, as follows from a classification of the abelian locally compact contraction groups.","lang":"eng"}],"user_id":"178","language":[{"iso":"eng"}],"date_updated":"2022-12-21T18:58:44Z","doi":"https://doi.org/10.1016/j.jalgebra.2020.11.007","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"publication_identifier":{"issn":["0021-8693"]},"title":"Decompositions of locally compact contraction groups, series and extensions"},{"language":[{"iso":"eng"}],"doi":"10.1515/crelle-2021-0050","date_updated":"2022-12-21T19:23:15Z","publication_identifier":{"issn":["0075-4102"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"title":"Locally pro-p contraction groups are nilpotent","year":"2021","type":"journal_article","citation":{"ama":"Glöckner H, Willis GA. Locally pro-p contraction groups are nilpotent. J Reine Angew Math. 2021;781:85–103. doi:10.1515/crelle-2021-0050","apa":"Glöckner, H., & Willis, G. A. (2021). Locally pro-p contraction groups are nilpotent. J. Reine Angew. Math., 781, 85–103. https://doi.org/10.1515/crelle-2021-0050","chicago":"Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” J. Reine Angew. Math. 781 (2021): 85–103. https://doi.org/10.1515/crelle-2021-0050.","bibtex":"@article{Glöckner_Willis_2021, title={Locally pro-p contraction groups are nilpotent}, volume={781}, DOI={10.1515/crelle-2021-0050}, journal={J. Reine Angew. Math.}, author={Glöckner, Helge and Willis, George A.}, year={2021}, pages={85–103} }","mla":"Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” J. Reine Angew. Math., vol. 781, 2021, pp. 85–103, doi:10.1515/crelle-2021-0050.","short":"H. Glöckner, G.A. Willis, J. Reine Angew. Math. 781 (2021) 85–103.","ieee":"H. Glöckner and G. A. Willis, “Locally pro-p contraction groups are nilpotent,” J. Reine Angew. Math., vol. 781, pp. 85–103, 2021, doi: 10.1515/crelle-2021-0050."},"page":"85–103","_id":"34790","intvolume":" 781","volume":781,"status":"public","date_created":"2022-12-21T19:17:28Z","author":[{"full_name":"Glöckner, Helge","first_name":"Helge","id":"178","last_name":"Glöckner"},{"full_name":"Willis, George A.","first_name":"George A.","last_name":"Willis"}],"quality_controlled":"1","publication":"J. Reine Angew. Math.","keyword":["22D05","22A05","20E18"],"user_id":"178","article_type":"original"},{"language":[{"iso":"eng"}],"date_updated":"2022-12-21T20:00:29Z","doi":"10.1002/mana.201900073","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"publication_identifier":{"issn":["0025-584X"]},"title":"Direct limits of regular Lie groups","page":"74–81","citation":{"apa":"Glöckner, H. (2021). Direct limits of regular Lie groups. Mathematische Nachrichten, 294(1), 74–81. https://doi.org/10.1002/mana.201900073","ama":"Glöckner H. Direct limits of regular Lie groups. Mathematische Nachrichten. 2021;294(1):74–81. doi:10.1002/mana.201900073","chicago":"Glöckner, Helge. “Direct Limits of Regular Lie Groups.” Mathematische Nachrichten 294, no. 1 (2021): 74–81. https://doi.org/10.1002/mana.201900073.","bibtex":"@article{Glöckner_2021, title={Direct limits of regular Lie groups}, volume={294}, DOI={10.1002/mana.201900073}, number={1}, journal={Mathematische Nachrichten}, author={Glöckner, Helge}, year={2021}, pages={74–81} }","mla":"Glöckner, Helge. “Direct Limits of Regular Lie Groups.” Mathematische Nachrichten, vol. 294, no. 1, 2021, pp. 74–81, doi:10.1002/mana.201900073.","short":"H. Glöckner, Mathematische Nachrichten 294 (2021) 74–81.","ieee":"H. Glöckner, “Direct limits of regular Lie groups,” Mathematische Nachrichten, vol. 294, no. 1, pp. 74–81, 2021, doi: 10.1002/mana.201900073."},"year":"2021","type":"journal_article","_id":"34795","intvolume":" 294","issue":"1","publication":"Mathematische Nachrichten","author":[{"last_name":"Glöckner","id":"178","first_name":"Helge","full_name":"Glöckner, Helge"}],"quality_controlled":"1","date_created":"2022-12-21T19:57:32Z","status":"public","volume":294,"article_type":"original","user_id":"178"},{"_id":"34806","date_updated":"2022-12-22T07:48:29Z","citation":{"chicago":"Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over Local Fields.” ArXiv:2101.02981, 2021.","apa":"Glöckner, H. (2021). Contraction groups and the big cell for endomorphisms of Lie groups over local fields. In arXiv:2101.02981.","ama":"Glöckner H. Contraction groups and the big cell for endomorphisms of Lie groups over local fields. arXiv:210102981. Published online 2021.","mla":"Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over Local Fields.” ArXiv:2101.02981, 2021.","bibtex":"@article{Glöckner_2021, title={Contraction groups and the big cell for endomorphisms of Lie groups over local fields}, journal={arXiv:2101.02981}, author={Glöckner, Helge}, year={2021} }","short":"H. Glöckner, ArXiv:2101.02981 (2021).","ieee":"H. Glöckner, “Contraction groups and the big cell for endomorphisms of Lie groups over local fields,” arXiv:2101.02981. 2021."},"year":"2021","type":"preprint","language":[{"iso":"eng"}],"title":"Contraction groups and the big cell for endomorphisms of Lie groups over local fields","user_id":"178","abstract":[{"text":"Let $G$ be a Lie group over a totally disconnected local field and $\\alpha$\r\nbe an analytic endomorphism of $G$. The contraction group of $\\alpha$ ist the\r\nset of all $x\\in G$ such that $\\alpha^n(x)\\to e$ as $n\\to\\infty$. Call sequence\r\n$(x_{-n})_{n\\geq 0}$ in $G$ an $\\alpha$-regressive trajectory for $x\\in G$ if\r\n$\\alpha(x_{-n})=x_{-n+1}$ for all $n\\geq 1$ and $x_0=x$. The anti-contraction\r\ngroup of $\\alpha$ is the set of all $x\\in G$ admitting an $\\alpha$-regressive\r\ntrajectory $(x_{-n})_{n\\geq 0}$ such that $x_{-n}\\to e$ as $n\\to\\infty$. The\r\nLevi subgroup is the set of all $x\\in G$ whose $\\alpha$-orbit is relatively\r\ncompact, and such that $x$ admits an $\\alpha$-regressive trajectory\r\n$(x_{-n})_{n\\geq 0}$ such that $\\{x_{-n}\\colon n\\geq 0\\}$ is relatively\r\ncompact. The big cell associated to $\\alpha$ is the set $\\Omega$ of all all\r\nproducts $xyz$ with $x$ in the contraction group, $y$ in the Levi subgroup and\r\n$z$ in the anti-contraction group. Let $\\pi$ be the mapping from the cartesian\r\nproduct of the contraction group, Levi subgroup and anti-contraction group to\r\n$\\Omega$ which maps $(x,y,z)$ to $xyz$. We show: $\\Omega$ is open in $G$ and\r\n$\\pi$ is \\'{e}tale for suitable immersed Lie subgroup structures on the three\r\nsubgroups just mentioned. Moreover, we study group-theoretic properties of\r\ncontraction groups and anti-contraction groups.","lang":"eng"}],"external_id":{"arxiv":["2101.02981"]},"date_created":"2022-12-22T07:47:35Z","status":"public","publication":"arXiv:2101.02981","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"author":[{"id":"178","last_name":"Glöckner","full_name":"Glöckner, Helge","first_name":"Helge"}]},{"date_updated":"2022-01-21T13:36:53Z","_id":"29421","corporate_editor":["IFAC-PapersOnLine"],"language":[{"iso":"eng"}],"page":"327-333","type":"conference","year":"2021","citation":{"ama":"Ober-Blöbaum S, Vermeeren M. Superconvergence of galerkin variational integrators. In: IFAC-PapersOnLine, ed. 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC. Vol 54(19). ; 2021:327-333.","apa":"Ober-Blöbaum, S., & Vermeeren, M. (2021). Superconvergence of galerkin variational integrators. In IFAC-PapersOnLine (Ed.), 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC: Vol. 54(19) (pp. 327–333).","chicago":"Ober-Blöbaum, Sina, and M. Vermeeren. “Superconvergence of Galerkin Variational Integrators.” In 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, edited by IFAC-PapersOnLine, 54(19):327–33, 2021.","mla":"Ober-Blöbaum, Sina, and M. Vermeeren. “Superconvergence of Galerkin Variational Integrators.” 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, edited by IFAC-PapersOnLine, vol. 54(19), 2021, pp. 327–33.","bibtex":"@inproceedings{Ober-Blöbaum_Vermeeren_2021, title={Superconvergence of galerkin variational integrators}, volume={54(19)}, booktitle={7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC}, author={Ober-Blöbaum, Sina and Vermeeren, M.}, editor={IFAC-PapersOnLine}, year={2021}, pages={327–333} }","short":"S. Ober-Blöbaum, M. Vermeeren, in: IFAC-PapersOnLine (Ed.), 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, 2021, pp. 327–333.","ieee":"S. Ober-Blöbaum and M. Vermeeren, “Superconvergence of galerkin variational integrators,” in 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, 2021, vol. 54(19), pp. 327–333."},"user_id":"15694","title":"Superconvergence of galerkin variational integrators","publication":"7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC","department":[{"_id":"636"}],"author":[{"last_name":"Ober-Blöbaum","id":"16494","first_name":"Sina","full_name":"Ober-Blöbaum, Sina"},{"full_name":"Vermeeren, M.","first_name":"M.","last_name":"Vermeeren"}],"date_created":"2022-01-18T14:27:56Z","status":"public","volume":"54(19)"},{"user_id":"15694","title":"Explicit multiobjective model predictive control for nonlinear systems with symmetries","abstract":[{"lang":"eng","text":"Model predictive control is a prominent approach to construct a feedback\r\ncontrol loop for dynamical systems. Due to real-time constraints, the major\r\nchallenge in MPC is to solve model-based optimal control problems in a very\r\nshort amount of time. For linear-quadratic problems, Bemporad et al. have\r\nproposed an explicit formulation where the underlying optimization problems are\r\nsolved a priori in an offline phase. In this article, we present an extension\r\nof this concept in two significant ways. We consider nonlinear problems and -\r\nmore importantly - problems with multiple conflicting objective functions. In\r\nthe offline phase, we build a library of Pareto optimal solutions from which we\r\nthen obtain a valid compromise solution in the online phase according to a\r\ndecision maker's preference. Since the standard multi-parametric programming\r\napproach is no longer valid in this situation, we instead use interpolation\r\nbetween different entries of the library. To reduce the number of problems that\r\nhave to be solved in the offline phase, we exploit symmetries in the dynamical\r\nsystem and the corresponding multiobjective optimal control problem. The\r\nresults are verified using two different examples from autonomous driving."}],"status":"public","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"date_created":"2020-03-13T12:44:36Z","volume":"31(2)","author":[{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","id":"16494"},{"id":"47427","last_name":"Peitz","orcid":"https://orcid.org/0000-0002-3389-793X","full_name":"Peitz, Sebastian","first_name":"Sebastian"}],"department":[{"_id":"101"}],"publication":"International Journal of Robust and Nonlinear Control","oa":"1","doi":"10.1002/rnc.5281","_id":"16294","date_updated":"2022-01-24T13:27:50Z","language":[{"iso":"eng"}],"year":"2021","type":"journal_article","citation":{"short":"S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31(2) (2021) 380–403.","ieee":"S. Ober-Blöbaum and S. Peitz, “Explicit multiobjective model predictive control for nonlinear systems with symmetries,” International Journal of Robust and Nonlinear Control, vol. 31(2), pp. 380–403, 2021, doi: 10.1002/rnc.5281.","apa":"Ober-Blöbaum, S., & Peitz, S. (2021). Explicit multiobjective model predictive control for nonlinear systems with symmetries. International Journal of Robust and Nonlinear Control, 31(2), 380–403. https://doi.org/10.1002/rnc.5281","ama":"Ober-Blöbaum S, Peitz S. Explicit multiobjective model predictive control for nonlinear systems with symmetries. International Journal of Robust and Nonlinear Control. 2021;31(2):380-403. doi:10.1002/rnc.5281","chicago":"Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems with Symmetries.” International Journal of Robust and Nonlinear Control 31(2) (2021): 380–403. https://doi.org/10.1002/rnc.5281.","mla":"Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems with Symmetries.” International Journal of Robust and Nonlinear Control, vol. 31(2), 2021, pp. 380–403, doi:10.1002/rnc.5281.","bibtex":"@article{Ober-Blöbaum_Peitz_2021, title={Explicit multiobjective model predictive control for nonlinear systems with symmetries}, volume={31(2)}, DOI={10.1002/rnc.5281}, journal={International Journal of Robust and Nonlinear Control}, author={Ober-Blöbaum, Sina and Peitz, Sebastian}, year={2021}, pages={380–403} }"},"page":"380-403","main_file_link":[{"url":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/rnc.5281","open_access":"1"}]},{"title":"Turnpike features in optimal selection of species represented by quota models","department":[{"_id":"636"}],"publication_identifier":{"issn":["0005-1098"]},"publication_status":"published","date_updated":"2022-01-26T13:15:33Z","doi":"10.1016/j.automatica.2021.109804","language":[{"iso":"eng"}],"user_id":"87909","publication":"Automatica","keyword":["Electrical and Electronic Engineering","Control and Systems Engineering"],"publisher":"Elsevier BV","author":[{"full_name":"Djema, Walid","first_name":"Walid","last_name":"Djema"},{"first_name":"Laetitia","full_name":"Giraldi, Laetitia","last_name":"Giraldi"},{"last_name":"Maslovskaya","id":"87909","first_name":"Sofya","full_name":"Maslovskaya, Sofya"},{"first_name":"Olivier","full_name":"Bernard, Olivier","last_name":"Bernard"}],"volume":132,"date_created":"2022-01-26T13:13:06Z","status":"public","intvolume":" 132","_id":"29543","article_number":"109804","year":"2021","citation":{"ieee":"W. Djema, L. Giraldi, S. Maslovskaya, and O. Bernard, “Turnpike features in optimal selection of species represented by quota models,” Automatica, vol. 132, Art. no. 109804, 2021, doi: 10.1016/j.automatica.2021.109804.","short":"W. Djema, L. Giraldi, S. Maslovskaya, O. Bernard, Automatica 132 (2021).","bibtex":"@article{Djema_Giraldi_Maslovskaya_Bernard_2021, title={Turnpike features in optimal selection of species represented by quota models}, volume={132}, DOI={10.1016/j.automatica.2021.109804}, number={109804}, journal={Automatica}, publisher={Elsevier BV}, author={Djema, Walid and Giraldi, Laetitia and Maslovskaya, Sofya and Bernard, Olivier}, year={2021} }","mla":"Djema, Walid, et al. “Turnpike Features in Optimal Selection of Species Represented by Quota Models.” Automatica, vol. 132, 109804, Elsevier BV, 2021, doi:10.1016/j.automatica.2021.109804.","apa":"Djema, W., Giraldi, L., Maslovskaya, S., & Bernard, O. (2021). Turnpike features in optimal selection of species represented by quota models. Automatica, 132, Article 109804. https://doi.org/10.1016/j.automatica.2021.109804","ama":"Djema W, Giraldi L, Maslovskaya S, Bernard O. Turnpike features in optimal selection of species represented by quota models. Automatica. 2021;132. doi:10.1016/j.automatica.2021.109804","chicago":"Djema, Walid, Laetitia Giraldi, Sofya Maslovskaya, and Olivier Bernard. “Turnpike Features in Optimal Selection of Species Represented by Quota Models.” Automatica 132 (2021). https://doi.org/10.1016/j.automatica.2021.109804."},"type":"journal_article"},{"title":"Resonances and weighted zeta functions for obstacle scattering via smooth models","user_id":"50168","external_id":{"arxiv":["2109.05907"]},"abstract":[{"lang":"eng","text":"We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane."}],"status":"public","date_created":"2022-05-04T12:25:58Z","author":[{"id":"50168","last_name":"Schütte","full_name":"Schütte, Philipp","first_name":"Philipp"},{"orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","first_name":"Tobias","id":"49178","last_name":"Weich"},{"last_name":"Delarue","first_name":"Benjamin","full_name":"Delarue, Benjamin"}],"department":[{"_id":"10"},{"_id":"548"}],"date_updated":"2022-05-17T12:05:52Z","_id":"31058","type":"preprint","citation":{"ama":"Schütte P, Weich T, Delarue B. Resonances and weighted zeta functions for obstacle scattering via smooth models. Published online 2021.","apa":"Schütte, P., Weich, T., & Delarue, B. (2021). Resonances and weighted zeta functions for obstacle scattering via smooth models.","chicago":"Schütte, Philipp, Tobias Weich, and Benjamin Delarue. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” 2021.","bibtex":"@article{Schütte_Weich_Delarue_2021, title={Resonances and weighted zeta functions for obstacle scattering via smooth models}, author={Schütte, Philipp and Weich, Tobias and Delarue, Benjamin}, year={2021} }","mla":"Schütte, Philipp, et al. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. 2021.","short":"P. Schütte, T. Weich, B. Delarue, (2021).","ieee":"P. Schütte, T. Weich, and B. Delarue, “Resonances and weighted zeta functions for obstacle scattering via smooth models.” 2021."},"year":"2021","language":[{"iso":"eng"}]}]