[{"publication_status":"published","date_updated":"2024-04-03T09:15:27Z","year":"2023","title":"Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints","status":"public","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"first_name":"Sören","last_name":"Bartels","full_name":"Bartels, Sören"},{"id":"100441","full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs"},{"full_name":"Wang, Zhangxian","first_name":"Zhangxian","last_name":"Wang"}],"user_id":"100441","doi":"10.1093/imanum/drad037","publisher":"Oxford University Press (OUP)","_id":"45971","language":[{"iso":"eng"}],"abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>An error estimate for a canonical discretization of the harmonic map heat flow into spheres is derived. The numerical scheme uses standard finite elements with a nodal treatment of linearized unit-length constraints. The analysis is based on elementary approximation results and only uses the discrete weak formulation.</jats:p>","lang":"eng"}],"publication":"IMA Journal of Numerical Analysis","citation":{"apa":"Bartels, S., Kovács, B., &#38; Wang, Z. (2023). Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. <i>IMA Journal of Numerical Analysis</i>. <a href=\"https://doi.org/10.1093/imanum/drad037\">https://doi.org/10.1093/imanum/drad037</a>","ieee":"S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints,” <i>IMA Journal of Numerical Analysis</i>, 2023, doi: <a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>.","chicago":"Bartels, Sören, Balázs Kovács, and Zhangxian Wang. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” <i>IMA Journal of Numerical Analysis</i>, 2023. <a href=\"https://doi.org/10.1093/imanum/drad037\">https://doi.org/10.1093/imanum/drad037</a>.","short":"S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).","mla":"Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” <i>IMA Journal of Numerical Analysis</i>, Oxford University Press (OUP), 2023, doi:<a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>.","ama":"Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. <i>IMA Journal of Numerical Analysis</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>","bibtex":"@article{Bartels_Kovács_Wang_2023, title={Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints}, DOI={<a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Bartels, Sören and Kovács, Balázs and Wang, Zhangxian}, year={2023} }"},"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"department":[{"_id":"841"}],"date_created":"2023-07-10T12:32:10Z"},{"citation":{"ama":"Contri A, Kovács B, Massing A. Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. <i>arXiv</i>. Published online 2023. doi:<a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">10.48550/ARXIV.2312.05511</a>","bibtex":"@article{Contri_Kovács_Massing_2023, title={Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">10.48550/ARXIV.2312.05511</a>}, journal={arXiv}, author={Contri, Alessandro and Kovács, Balázs and Massing, André}, year={2023} }","mla":"Contri, Alessandro, et al. “Error Analysis of BDF 1-6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and Pressure Estimates.” <i>ArXiv</i>, 2023, doi:<a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">10.48550/ARXIV.2312.05511</a>.","chicago":"Contri, Alessandro, Balázs Kovács, and André Massing. “Error Analysis of BDF 1-6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and Pressure Estimates.” <i>ArXiv</i>, 2023. <a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">https://doi.org/10.48550/ARXIV.2312.05511</a>.","short":"A. Contri, B. Kovács, A. Massing, ArXiv (2023).","apa":"Contri, A., Kovács, B., &#38; Massing, A. (2023). Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. <i>ArXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">https://doi.org/10.48550/ARXIV.2312.05511</a>","ieee":"A. Contri, B. Kovács, and A. Massing, “Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates,” <i>arXiv</i>, 2023, doi: <a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">10.48550/ARXIV.2312.05511</a>."},"publication":"arXiv","abstract":[{"text":"We present a new stability and error analysis of fully discrete approximation schemes for the transient Stokes equation. For the spatial discretization, we consider a wide class of Galerkin finite element methods which includes both inf-sup stable spaces and symmetric pressure stabilized formulations. We extend the results from Burman and Fernández [\\textit{SIAM J. Numer. Anal.}, 47 (2009), pp. 409-439] and provide a unified theoretical analysis of backward difference formulae (BDF methods) of order 1 to 6. The main novelty of our approach lies in the use of Dahlquist's G-stability concept together with multiplier techniques introduced by Nevannlina-Odeh and recently by Akrivis et al. [\\textit{SIAM J. Numer. Anal.}, 59 (2021), pp. 2449-2472] to derive optimal stability and error estimates for both the velocity and the pressure. When combined with a method dependent Ritz projection for the initial data, unconditional stability can be shown while for arbitrary interpolation, pressure stability is subordinate to the fulfillment of a mild inverse CFL-type condition between space and time discretizations.","lang":"eng"}],"date_created":"2024-04-03T09:08:38Z","department":[{"_id":"841"}],"type":"journal_article","author":[{"first_name":"Alessandro","last_name":"Contri","full_name":"Contri, Alessandro"},{"id":"100441","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs"},{"full_name":"Massing, André","first_name":"André","last_name":"Massing"}],"title":"Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates","year":"2023","status":"public","date_updated":"2024-04-03T09:12:47Z","_id":"53140","language":[{"iso":"eng"}],"user_id":"100441","doi":"10.48550/ARXIV.2312.05511"},{"date_updated":"2024-04-05T05:50:29Z","intvolume":"        40","status":"public","year":"2023","title":"Funnel control of linear systems with arbitrary relative degree under output measurement losses","author":[{"id":"77457","first_name":"Thomas","last_name":"Berger","full_name":"Berger, Thomas"},{"full_name":"Lanza, Lukas","last_name":"Lanza","first_name":"Lukas"}],"doi":"doi: 10.1093/imamci/dnad029","user_id":"77457","volume":40,"page":"691-713","language":[{"iso":"eng"}],"_id":"53142","issue":"4","publication":"IMA Journal of Mathematical Control and Information,","citation":{"mla":"Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary Relative Degree under Output Measurement Losses.” <i>IMA Journal of Mathematical Control and Information,</i> vol. 40, no. 4, 2023, pp. 691–713, doi:<a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">doi: 10.1093/imamci/dnad029</a>.","ama":"Berger T, Lanza L. Funnel control of linear systems with arbitrary relative degree under output measurement losses. <i>IMA Journal of Mathematical Control and Information,</i>. 2023;40(4):691-713. doi:<a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">doi: 10.1093/imamci/dnad029</a>","bibtex":"@article{Berger_Lanza_2023, title={Funnel control of linear systems with arbitrary relative degree under output measurement losses}, volume={40}, DOI={<a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">doi: 10.1093/imamci/dnad029</a>}, number={4}, journal={IMA Journal of Mathematical Control and Information,}, author={Berger, Thomas and Lanza, Lukas}, year={2023}, pages={691–713} }","apa":"Berger, T., &#38; Lanza, L. (2023). Funnel control of linear systems with arbitrary relative degree under output measurement losses. <i>IMA Journal of Mathematical Control and Information,</i> <i>40</i>(4), 691–713. <a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">https://doi.org/doi: 10.1093/imamci/dnad029</a>","ieee":"T. Berger and L. Lanza, “Funnel control of linear systems with arbitrary relative degree under output measurement losses,” <i>IMA Journal of Mathematical Control and Information,</i> vol. 40, no. 4, pp. 691–713, 2023, doi: <a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">doi: 10.1093/imamci/dnad029</a>.","short":"T. Berger, L. Lanza, IMA Journal of Mathematical Control and Information, 40 (2023) 691–713.","chicago":"Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary Relative Degree under Output Measurement Losses.” <i>IMA Journal of Mathematical Control and Information,</i> 40, no. 4 (2023): 691–713. <a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">https://doi.org/doi: 10.1093/imamci/dnad029</a>."},"type":"journal_article","department":[{"_id":"618"}],"date_created":"2024-04-03T09:37:59Z"},{"date_created":"2024-04-03T09:56:35Z","department":[{"_id":"618"}],"type":"journal_article","citation":{"mla":"Lee, J. G., et al. “Edge-Wise Funnel Output Synchronization of Heterogeneous Agents with Relative Degree One.” <i>Automatica</i>, vol. 156, 2023, p. Article 111204, doi:<a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">doi: 10.1016/j.automatica.2023.111204 (open access)</a>.","bibtex":"@article{Lee_Berger_Trenn_Shim_2023, title={Edge-wise funnel output synchronization of heterogeneous agents with relative degree one}, volume={156}, DOI={<a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">doi: 10.1016/j.automatica.2023.111204 (open access)</a>}, journal={Automatica}, author={Lee, J. G. and Berger, Thomas and Trenn, S. and Shim, H.}, year={2023}, pages={Article 111204} }","ama":"Lee JG, Berger T, Trenn S, Shim H. Edge-wise funnel output synchronization of heterogeneous agents with relative degree one. <i>Automatica</i>. 2023;156:Article 111204. doi:<a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">doi: 10.1016/j.automatica.2023.111204 (open access)</a>","ieee":"J. G. Lee, T. Berger, S. Trenn, and H. Shim, “Edge-wise funnel output synchronization of heterogeneous agents with relative degree one,” <i>Automatica</i>, vol. 156, p. Article 111204, 2023, doi: <a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">doi: 10.1016/j.automatica.2023.111204 (open access)</a>.","apa":"Lee, J. G., Berger, T., Trenn, S., &#38; Shim, H. (2023). Edge-wise funnel output synchronization of heterogeneous agents with relative degree one. <i>Automatica</i>, <i>156</i>, Article 111204. <a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)</a>","short":"J.G. Lee, T. Berger, S. Trenn, H. Shim, Automatica 156 (2023) Article 111204.","chicago":"Lee, J. G., Thomas Berger, S. Trenn, and H. Shim. “Edge-Wise Funnel Output Synchronization of Heterogeneous Agents with Relative Degree One.” <i>Automatica</i> 156 (2023): Article 111204. <a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)</a>."},"publication":"Automatica","language":[{"iso":"eng"}],"_id":"53143","page":"Article 111204","volume":156,"doi":"doi: 10.1016/j.automatica.2023.111204 (open access)","user_id":"77457","author":[{"full_name":"Lee, J. G.","last_name":"Lee","first_name":"J. G."},{"full_name":"Berger, Thomas","first_name":"Thomas","last_name":"Berger","id":"77457"},{"last_name":"Trenn","first_name":"S.","full_name":"Trenn, S."},{"full_name":"Shim, H.","first_name":"H.","last_name":"Shim"}],"title":"Edge-wise funnel output synchronization of heterogeneous agents with relative degree one","year":"2023","status":"public","intvolume":"       156","date_updated":"2024-04-05T05:52:28Z"},{"publication_status":"published","date_updated":"2024-04-09T11:07:16Z","title":"Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings","year":"2023","status":"public","author":[{"first_name":"Gerda","last_name":"Werth","full_name":"Werth, Gerda","id":"578"}],"publication_identifier":{"isbn":["9783658424442","9783658424459"],"issn":["2661-8591","2661-8605"]},"user_id":"578","doi":"10.1007/978-3-658-42445-9","_id":"51101","publisher":"Springer Fachmedien Wiesbaden","language":[{"iso":"eng"}],"citation":{"mla":"Werth, Gerda. <i>Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings</i>. Springer Fachmedien Wiesbaden, 2023, doi:<a href=\"https://doi.org/10.1007/978-3-658-42445-9\">10.1007/978-3-658-42445-9</a>.","bibtex":"@book{Werth_2023, place={Wiesbaden}, title={Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-42445-9\">10.1007/978-3-658-42445-9</a>}, publisher={Springer Fachmedien Wiesbaden}, author={Werth, Gerda}, year={2023} }","ama":"Werth G. <i>Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings</i>. Springer Fachmedien Wiesbaden; 2023. doi:<a href=\"https://doi.org/10.1007/978-3-658-42445-9\">10.1007/978-3-658-42445-9</a>","ieee":"G. Werth, <i>Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings</i>. Wiesbaden: Springer Fachmedien Wiesbaden, 2023.","apa":"Werth, G. (2023). <i>Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings</i>. Springer Fachmedien Wiesbaden. <a href=\"https://doi.org/10.1007/978-3-658-42445-9\">https://doi.org/10.1007/978-3-658-42445-9</a>","chicago":"Werth, Gerda. <i>Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings</i>. Wiesbaden: Springer Fachmedien Wiesbaden, 2023. <a href=\"https://doi.org/10.1007/978-3-658-42445-9\">https://doi.org/10.1007/978-3-658-42445-9</a>.","short":"G. Werth, Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings, Springer Fachmedien Wiesbaden, Wiesbaden, 2023."},"type":"book","department":[{"_id":"34"},{"_id":"10"},{"_id":"98"},{"_id":"360"}],"date_created":"2024-01-31T13:08:37Z","place":"Wiesbaden"},{"type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"360"}],"date_created":"2024-01-31T13:15:50Z","publication":"mathematik lehren","citation":{"ieee":"G. Werth, “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe,” <i>mathematik lehren</i>, vol. 241, pp. 15–19, 2023.","apa":"Werth, G. (2023). Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe. <i>mathematik lehren</i>, <i>241</i>, 15–19.","short":"G. Werth, mathematik lehren 241 (2023) 15–19.","chicago":"Werth, Gerda. “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe.” <i>mathematik lehren</i> 241 (2023): 15–19.","mla":"Werth, Gerda. “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe.” <i>mathematik lehren</i>, vol. 241, Friedrich, 2023, pp. 15–19.","bibtex":"@article{Werth_2023, title={Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe}, volume={241}, journal={mathematik lehren}, publisher={Friedrich}, author={Werth, Gerda}, year={2023}, pages={15–19} }","ama":"Werth G. Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe. <i>mathematik lehren</i>. 2023;241:15-19."},"user_id":"578","volume":241,"page":"15-19","language":[{"iso":"ger"}],"_id":"51103","publisher":"Friedrich","date_updated":"2024-04-09T09:19:05Z","publication_status":"published","intvolume":"       241","status":"public","year":"2023","title":"Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe","author":[{"id":"578","full_name":"Werth, Gerda","first_name":"Gerda","last_name":"Werth"}]},{"user_id":"45027","language":[{"iso":"eng"}],"_id":"53404","date_updated":"2024-04-10T13:48:17Z","status":"public","title":"$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces","year":"2023","author":[{"last_name":"Wolf","first_name":"Lasse L.","full_name":"Wolf, Lasse L."},{"first_name":"Hong-Wei","last_name":"Zhang","full_name":"Zhang, Hong-Wei"}],"type":"preprint","department":[{"_id":"10"},{"_id":"548"}],"external_id":{"arxiv":["2311.11770"]},"date_created":"2024-04-10T13:45:59Z","abstract":[{"text":"In this short note we observe, on locally symmetric spaces of higher rank, a\r\nconnection between the growth indicator function introduced by Quint and the\r\nmodified critical exponent of the Poincar\\'e series equipped with the\r\npolyhedral distance. As a consequence, we provide a different characterization\r\nof the bottom of the $L^2$-spectrum of the Laplace-Beltrami operator in terms\r\nof the growth indicator function. Moreover, we explore the relationship between\r\nthese three objects and the temperedness.","lang":"eng"}],"publication":"arXiv:2311.11770","citation":{"ieee":"L. L. Wolf and H.-W. Zhang, “$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces,” <i>arXiv:2311.11770</i>. 2023.","apa":"Wolf, L. L., &#38; Zhang, H.-W. (2023). $L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces. In <i>arXiv:2311.11770</i>.","mla":"Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” <i>ArXiv:2311.11770</i>, 2023.","bibtex":"@article{Wolf_Zhang_2023, title={$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces}, journal={arXiv:2311.11770}, author={Wolf, Lasse L. and Zhang, Hong-Wei}, year={2023} }","short":"L.L. Wolf, H.-W. Zhang, ArXiv:2311.11770 (2023).","ama":"Wolf LL, Zhang H-W. $L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces. <i>arXiv:231111770</i>. Published online 2023.","chicago":"Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” <i>ArXiv:2311.11770</i>, 2023."}},{"citation":{"apa":"Delarue, B., Schütte, P., &#38; Weich, T. (2023). Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>, <i>25</i>(2), 1607–1656. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>","ieee":"B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, pp. 1607–1656, 2023, doi: <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","chicago":"Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i> 25, no. 2 (2023): 1607–56. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>.","short":"B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.","mla":"Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","ama":"Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>. 2023;25(2):1607-1656. doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>","bibtex":"@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>}, number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich, Tobias}, year={2023}, pages={1607–1656} }"},"status":"public","volume":25,"user_id":"70575","_id":"53410","publisher":"Springer Science and Business Media LLC","page":"1607-1656","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>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 (Ann Henri Poincaré 17(11):3089–3146, 2016) 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.</jats:p>","lang":"eng"}],"publication":"Annales Henri Poincaré","issue":"2","department":[{"_id":"548"}],"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"type":"journal_article","date_created":"2024-04-11T12:30:14Z","intvolume":"        25","publication_status":"published","date_updated":"2024-04-11T12:37:34Z","publication_identifier":{"issn":["1424-0637","1424-0661"]},"author":[{"id":"70575","full_name":"Delarue, Benjamin","last_name":"Delarue","first_name":"Benjamin"},{"last_name":"Schütte","first_name":"Philipp","full_name":"Schütte, Philipp","id":"50168"},{"orcid":"0000-0002-9648-6919","first_name":"Tobias","last_name":"Weich","full_name":"Weich, Tobias","id":"49178"}],"year":"2023","title":"Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models","doi":"10.1007/s00023-023-01379-x","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"_id":"53411","user_id":"70575","title":"A Riemann-Roch formula for singular reductions by circle actions","status":"public","year":"2023","author":[{"id":"70575","last_name":"Delarue","first_name":"Benjamin","full_name":"Delarue, Benjamin"},{"first_name":"Louis","last_name":"Ioos","full_name":"Ioos, Louis"},{"full_name":"Ramacher, Pablo","first_name":"Pablo","last_name":"Ramacher"}],"date_updated":"2024-04-11T12:37:09Z","external_id":{"arxiv":["2302.09894"]},"date_created":"2024-04-11T12:30:42Z","type":"preprint","department":[{"_id":"548"}],"publication":"arXiv:2302.09894","citation":{"short":"B. Delarue, L. Ioos, P. Ramacher, ArXiv:2302.09894 (2023).","chicago":"Delarue, Benjamin, Louis Ioos, and Pablo Ramacher. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” <i>ArXiv:2302.09894</i>, 2023.","apa":"Delarue, B., Ioos, L., &#38; Ramacher, P. (2023). A Riemann-Roch formula for singular reductions by circle actions. In <i>arXiv:2302.09894</i>.","ieee":"B. Delarue, L. Ioos, and P. Ramacher, “A Riemann-Roch formula for singular reductions by circle actions,” <i>arXiv:2302.09894</i>. 2023.","ama":"Delarue B, Ioos L, Ramacher P. A Riemann-Roch formula for singular reductions by circle actions. <i>arXiv:230209894</i>. Published online 2023.","bibtex":"@article{Delarue_Ioos_Ramacher_2023, title={A Riemann-Roch formula for singular reductions by circle actions}, journal={arXiv:2302.09894}, author={Delarue, Benjamin and Ioos, Louis and Ramacher, Pablo}, year={2023} }","mla":"Delarue, Benjamin, et al. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” <i>ArXiv:2302.09894</i>, 2023."},"abstract":[{"lang":"eng","text":"We compute a Riemann-Roch formula for the invariant Riemann-Roch number of a\r\nquantizable Hamiltonian $S^1$-manifold $(M,\\omega,\\mathcal{J})$ in terms of the\r\ngeometry of its symplectic quotient, allowing $0$ to be a singular value of the\r\nmoment map $\\mathcal{J}:M\\to\\mathbb{R}$. The formula involves a new explicit\r\nlocal invariant of the singularities. Our approach relies on a complete\r\nsingular stationary phase expansion of the associated Witten integral."}]},{"publication_status":"published","date_updated":"2024-04-17T13:15:51Z","status":"public","year":"2023","title":"New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation","author":[{"last_name":"Polychrou","first_name":"G.","full_name":"Polychrou, G."},{"id":"100325","last_name":"Papageorgiou","first_name":"Efthymia","full_name":"Papageorgiou, Efthymia"},{"first_name":"A.","last_name":"Fotiadis","full_name":"Fotiadis, A."},{"last_name":"Daskaloyannis","first_name":"C.","full_name":"Daskaloyannis, C."}],"publication_identifier":{"issn":["1139-1138","1988-2807"]},"user_id":"100325","doi":"10.1007/s13163-023-00476-z","publisher":"Springer Science and Business Media LLC","_id":"53538","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In Fotiadis and Daskaloyannis (Nonlinear Anal 214, 112546, 2022), harmonic maps are related to the sinh-Gordon equation and a Bäcklund transformation is introduced, which connects solutions of the sinh-Gordon and sine-Gordon equation. We develop this machinery in order to construct new harmonic maps to the hyperbolic plane.</jats:p>"}],"publication":"Revista Matemática Complutense","citation":{"bibtex":"@article{Polychrou_Papageorgiou_Fotiadis_Daskaloyannis_2023, title={New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation}, DOI={<a href=\"https://doi.org/10.1007/s13163-023-00476-z\">10.1007/s13163-023-00476-z</a>}, journal={Revista Matemática Complutense}, publisher={Springer Science and Business Media LLC}, author={Polychrou, G. and Papageorgiou, Efthymia and Fotiadis, A. and Daskaloyannis, C.}, year={2023} }","ama":"Polychrou G, Papageorgiou E, Fotiadis A, Daskaloyannis C. New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. <i>Revista Matemática Complutense</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s13163-023-00476-z\">10.1007/s13163-023-00476-z</a>","mla":"Polychrou, G., et al. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” <i>Revista Matemática Complutense</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s13163-023-00476-z\">10.1007/s13163-023-00476-z</a>.","chicago":"Polychrou, G., Efthymia Papageorgiou, A. Fotiadis, and C. Daskaloyannis. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” <i>Revista Matemática Complutense</i>, 2023. <a href=\"https://doi.org/10.1007/s13163-023-00476-z\">https://doi.org/10.1007/s13163-023-00476-z</a>.","short":"G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática Complutense (2023).","ieee":"G. Polychrou, E. Papageorgiou, A. Fotiadis, and C. Daskaloyannis, “New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation,” <i>Revista Matemática Complutense</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s13163-023-00476-z\">10.1007/s13163-023-00476-z</a>.","apa":"Polychrou, G., Papageorgiou, E., Fotiadis, A., &#38; Daskaloyannis, C. (2023). New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. <i>Revista Matemática Complutense</i>. <a href=\"https://doi.org/10.1007/s13163-023-00476-z\">https://doi.org/10.1007/s13163-023-00476-z</a>"},"keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2024-04-17T13:15:07Z"},{"user_id":"44184","language":[{"iso":"ger"}],"_id":"53565","publisher":"University of Bamberg Press","date_updated":"2024-04-17T20:34:14Z","publication_status":"published","title":"Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse einer Interviewstudie in Klasse 2","year":"2023","status":"public","conference":{"location":"Bremen","name":"Herbsttagung des Arbeitskreises Grundschule der Gesellschaft für Didaktik der Mathematik (GDM)"},"author":[{"id":"48912","first_name":"Imke","last_name":"Schwerin","full_name":"Schwerin, Imke"}],"type":"book_chapter","department":[{"_id":"543"}],"date_created":"2024-04-17T20:33:45Z","publication":"Mathematikdidaktik Grundschule","citation":{"short":"I. Schwerin, in: Mathematikdidaktik Grundschule, University of Bamberg Press, 2023.","chicago":"Schwerin, Imke. “Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse einer Interviewstudie in Klasse 2.” In <i>Mathematikdidaktik Grundschule</i>. University of Bamberg Press, 2023.","apa":"Schwerin, I. (2023). Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse einer Interviewstudie in Klasse 2. In <i>Mathematikdidaktik Grundschule</i>. Herbsttagung des Arbeitskreises Grundschule der Gesellschaft für Didaktik der Mathematik (GDM), Bremen. University of Bamberg Press.","ieee":"I. Schwerin, “Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse einer Interviewstudie in Klasse 2,” in <i>Mathematikdidaktik Grundschule</i>, University of Bamberg Press, 2023.","ama":"Schwerin I. Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse einer Interviewstudie in Klasse 2. In: <i>Mathematikdidaktik Grundschule</i>. University of Bamberg Press; 2023.","bibtex":"@inbook{Schwerin_2023, title={Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse einer Interviewstudie in Klasse 2}, booktitle={Mathematikdidaktik Grundschule}, publisher={University of Bamberg Press}, author={Schwerin, Imke}, year={2023} }","mla":"Schwerin, Imke. “Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse einer Interviewstudie in Klasse 2.” <i>Mathematikdidaktik Grundschule</i>, University of Bamberg Press, 2023."}},{"doi":"10.17877/DE290R-23392","language":[{"iso":"eng"}],"date_updated":"2024-04-18T08:08:35Z","year":"2023","title":"Mathematik – Lesen – Lernen: Ein Vorlesungskonzept zur Förderung mathematischer Lesekompetenz","author":[{"full_name":"Rezat, Sebastian","first_name":"Sebastian","last_name":"Rezat","id":"31132"},{"id":"38640","full_name":"Malik, Sara Naseem","last_name":"Malik","first_name":"Sara Naseem"},{"full_name":"Leifeld, Markus","last_name":"Leifeld","first_name":"Markus"}],"type":"conference","department":[{"_id":"360"}],"file":[{"file_id":"53440","success":1,"content_type":"application/pdf","relation":"main_file","date_updated":"2024-04-12T07:03:22Z","file_name":"BzMU22_1125.pdf","access_level":"closed","file_size":29247,"date_created":"2024-04-12T07:03:22Z","creator":"srezat"}],"date_created":"2024-04-12T07:01:10Z","publication":"Beiträge zum Mathematikunterricht 2022. 56. 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Münster: WTM-Verlag, 2023. <a href=\"https://doi.org/10.17877/DE290R-23392\">https://doi.org/10.17877/DE290R-23392</a>.","mla":"Rezat, Sebastian, et al. “Mathematik – Lesen – Lernen: Ein Vorlesungskonzept Zur Förderung Mathematischer Lesekompetenz.” <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik  Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main</i>, WTM-Verlag, 2023, pp. 1125–1128, doi:<a href=\"https://doi.org/10.17877/DE290R-23392\">10.17877/DE290R-23392</a>.","ama":"Rezat S, Malik SN, Leifeld M. Mathematik – Lesen – Lernen: Ein Vorlesungskonzept zur Förderung mathematischer Lesekompetenz. In: <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik  Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main</i>. 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Jahrestagung der Gesellschaft für Didaktik der Mathematik  vom 29.08.2022 bis 02.09.2022 in Frankfurt am Main}, publisher={WTM-Verlag}, author={Rezat, Sebastian and Malik, Sara Naseem and Leifeld, Markus}, year={2023}, pages={1125–1128} }"}},{"file":[{"creator":"srezat","date_created":"2024-04-12T07:14:31Z","file_name":"BzMU22_993-2.pdf","access_level":"closed","file_size":29743,"relation":"main_file","date_updated":"2024-04-12T07:14:31Z","file_id":"53442","success":1,"content_type":"application/pdf"}],"date_created":"2024-04-12T07:12:31Z","type":"conference","department":[{"_id":"360"}],"publication":"Beiträge zum Mathematikunterricht 2022. 56. 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Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik  Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main</i>, WTM-Verlag, 2023, pp. 993–996, doi:<a href=\"https://doi.org/10.17877/DE290R-23760\">10.17877/DE290R-23760</a>.","bibtex":"@inproceedings{Leifeld_Rezat_2023, place={Münster}, title={Verstehen schriftlicher Rechenverfahren durch algorithmisches Denken am Beispiel der schriftlichen Subtraktion}, DOI={<a href=\"https://doi.org/10.17877/DE290R-23760\">10.17877/DE290R-23760</a>}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik  vom 29.08.2022 bis 02.09.2022 in Frankfurt am Main}, publisher={WTM-Verlag}, author={Leifeld, Markus and Rezat, Sebastian}, year={2023}, pages={993–996} }","ama":"Leifeld M, Rezat S. Verstehen schriftlicher Rechenverfahren durch algorithmisches Denken am Beispiel der schriftlichen Subtraktion. In: <i>Beiträge Zum Mathematikunterricht 2022. 56. 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The role of digital technologies in transforming student learning landscapes. In: Pepin B, Gueudet G, Choppin J, eds. <i>Handbook of Digital Resources in Mathematics Education</i>. 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Berlin, Heidelberg: Springer, 2023. <a href=\"https://doi.org/10.1007/978-3-662-66604-3_7\">https://doi.org/10.1007/978-3-662-66604-3_7</a>."},"publication":"Handbuch der Mathematikdidaktik","date_created":"2023-09-11T06:30:49Z","place":"Berlin, Heidelberg","department":[{"_id":"360"}],"type":"book_chapter","author":[{"last_name":"Hattermann","first_name":"Mathias","full_name":"Hattermann, Mathias"},{"id":"31132","last_name":"Rezat","first_name":"Sebastian","full_name":"Rezat, Sebastian"},{"first_name":"Rudolf","last_name":"Sträßer","full_name":"Sträßer, Rudolf"}],"publication_identifier":{"isbn":["9783662666036","9783662666043"]},"title":"Geometrie: Leitidee Raum und Form","status":"public","year":"2023","publication_status":"published","date_updated":"2024-04-18T08:19:52Z","_id":"46956","publisher":"Springer","language":[{"iso":"eng"}],"page":"201–242","user_id":"31132","doi":"10.1007/978-3-662-66604-3_7"},{"article_type":"original","publication_status":"published","date_updated":"2024-04-18T09:01:29Z","author":[{"first_name":"Max","last_name":"Hoffmann","orcid":"0000-0002-6964-7123","full_name":"Hoffmann, Max","id":"32202"},{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"}],"publication_identifier":{"issn":["1863-9690","1863-9704"]},"title":"Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course","year":"2023","doi":"10.1007/s11858-023-01505-3","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://link.springer.com/article/10.1007/s11858-023-01505-3"}],"abstract":[{"text":"Intending to counteract Klein’s second discontinuity in teacher education, we explored and applied the innovation of “interface ePortfolio” in the context of a geometry course for preservice teachers (PSTs). The tool offers the possibility of implementing the design principle of profession orientation. In the article, we theoretically clarify what we understand by this principle and locate our innovative concept against this theoretical background. We empirically investigate the extent to which counteraction against the second discontinuity is successful by analyzing reflection texts created in the interface ePortfolio, focusing on PSTs’ perspectives. Our qualitative content analysis shows that most of them perceive the innovation as helpful in the intended sense and indicates that the course concept, in general, and the interface ePortfolio, in particular, have helped establish relevant links between the course content and their later work as teachers.","lang":"eng"}],"publication":"ZDM – Mathematics Education","department":[{"_id":"643"}],"type":"journal_article","keyword":["General Mathematics","Education"],"date_created":"2023-06-27T11:45:25Z","file":[{"date_created":"2023-07-13T09:40:02Z","creator":"maxh","content_type":"application/pdf","success":1,"file_id":"46041","date_updated":"2023-07-13T09:40:02Z","relation":"main_file","file_size":1460246,"access_level":"closed","file_name":"s11858-023-01505-3.pdf"}],"has_accepted_license":"1","status":"public","user_id":"37888","ddc":["510","370"],"_id":"45786","publisher":"Springer","quality_controlled":"1","citation":{"mla":"Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s Perspectives on Interface Activities in the Context of a Geometry Course.” <i>ZDM – Mathematics Education</i>, Springer, 2023, doi:<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>.","bibtex":"@article{Hoffmann_Biehler_2023, title={Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course}, DOI={<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>}, journal={ZDM – Mathematics Education}, publisher={Springer}, author={Hoffmann, Max and Biehler, Rolf}, year={2023} }","ama":"Hoffmann M, Biehler R. Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course. <i>ZDM – Mathematics Education</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>","ieee":"M. Hoffmann and R. Biehler, “Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course,” <i>ZDM – Mathematics Education</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>.","apa":"Hoffmann, M., &#38; Biehler, R. (2023). Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-023-01505-3\">https://doi.org/10.1007/s11858-023-01505-3</a>","chicago":"Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s Perspectives on Interface Activities in the Context of a Geometry Course.” <i>ZDM – Mathematics Education</i>, 2023. <a href=\"https://doi.org/10.1007/s11858-023-01505-3\">https://doi.org/10.1007/s11858-023-01505-3</a>.","short":"M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2023)."},"file_date_updated":"2023-07-13T09:40:02Z","oa":"1"},{"publication_status":"published","date_updated":"2024-04-18T09:04:54Z","year":"2023","status":"public","title":"Sprache und Mathematiklernen","publication_identifier":{"isbn":["9783662666036","9783662666043"]},"author":[{"full_name":"Leiss, Dominik","first_name":"Dominik","last_name":"Leiss"},{"last_name":"Gerlach","first_name":"Kerstin","full_name":"Gerlach, Kerstin"},{"last_name":"Wessel","first_name":"Lena","full_name":"Wessel, Lena","id":"85190"},{"last_name":"Schmidt-Thieme","first_name":"Barbara","full_name":"Schmidt-Thieme, Barbara"}],"user_id":"37888","doi":"10.1007/978-3-662-66604-3_18","page":"561-595","_id":"48319","publisher":"Springer Berlin Heidelberg","language":[{"iso":"ger"}],"publication":"Handbuch der Mathematikdidaktik","citation":{"mla":"Leiss, Dominik, et al. “Sprache und Mathematiklernen.” <i>Handbuch der Mathematikdidaktik</i>, Springer Berlin Heidelberg, 2023, pp. 561–95, doi:<a href=\"https://doi.org/10.1007/978-3-662-66604-3_18\">10.1007/978-3-662-66604-3_18</a>.","ama":"Leiss D, Gerlach K, Wessel L, Schmidt-Thieme B. Sprache und Mathematiklernen. In: <i>Handbuch der Mathematikdidaktik</i>. Springer Berlin Heidelberg; 2023:561-595. doi:<a href=\"https://doi.org/10.1007/978-3-662-66604-3_18\">10.1007/978-3-662-66604-3_18</a>","bibtex":"@inbook{Leiss_Gerlach_Wessel_Schmidt-Thieme_2023, place={Berlin, Heidelberg}, title={Sprache und Mathematiklernen}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-66604-3_18\">10.1007/978-3-662-66604-3_18</a>}, booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer Berlin Heidelberg}, author={Leiss, Dominik and Gerlach, Kerstin and Wessel, Lena and Schmidt-Thieme, Barbara}, year={2023}, pages={561–595} }","apa":"Leiss, D., Gerlach, K., Wessel, L., &#38; Schmidt-Thieme, B. (2023). Sprache und Mathematiklernen. In <i>Handbuch der Mathematikdidaktik</i> (pp. 561–595). Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/978-3-662-66604-3_18\">https://doi.org/10.1007/978-3-662-66604-3_18</a>","ieee":"D. Leiss, K. Gerlach, L. Wessel, and B. Schmidt-Thieme, “Sprache und Mathematiklernen,” in <i>Handbuch der Mathematikdidaktik</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2023, pp. 561–595.","chicago":"Leiss, Dominik, Kerstin Gerlach, Lena Wessel, and Barbara Schmidt-Thieme. “Sprache und Mathematiklernen.” In <i>Handbuch der Mathematikdidaktik</i>, 561–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2023. <a href=\"https://doi.org/10.1007/978-3-662-66604-3_18\">https://doi.org/10.1007/978-3-662-66604-3_18</a>.","short":"D. Leiss, K. Gerlach, L. Wessel, B. Schmidt-Thieme, in: Handbuch der Mathematikdidaktik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2023, pp. 561–595."},"type":"book_chapter","department":[{"_id":"643"}],"date_created":"2023-10-19T09:12:45Z","place":"Berlin, Heidelberg"}]
