[{"editor":[{"full_name":"Kadunz, Gert","first_name":"Gert","last_name":"Kadunz"}],"doi":"10.1007/978-3-662-61194-4_5","user_id":"26809","_id":"13108","publisher":"Springer","language":[{"iso":"ger"}],"date_updated":"2022-01-06T06:51:28Z","publication_status":"published","author":[{"id":"26809","full_name":"Schumacher, Jan","orcid":"0000-0002-6676-9774","last_name":"Schumacher","first_name":"Jan"},{"last_name":"Rezat","first_name":"Sebastian","full_name":"Rezat, Sebastian"}],"status":"public","year":"2020","title":"Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge","department":[{"_id":"360"},{"_id":"98"}],"type":"book_chapter","date_created":"2019-08-30T12:00:51Z","abstract":[{"text":"Diagrammatisches Schlie{\\ss}en wird im Zusammenhang mit dem Lernen von Mathmematik und ihrer Symbolsprache als wesentliche Theorie der Wissenskonstruktion diskutiert. Dabei wird h{\\\"{a}}ufig davon ausgegangen, dass die Wissenskonstruktion im Sinne diagrammatischen Schlie{\\ss}ens erfolgt. Deskriptive Rekonstruktionen diagrammatischen Schlie{\\ss}ens bei Lernenden stellen jedoch ein Desiderat der mathematikdidaktischen Forschung dar. Der vorliegende Beitrag befasst sich mit der Fragestellung, wie sich diagrammatisches Schlie{\\ss}en bei Lernenden rekonstruieren l{\\\"{a}}sst. Als m{\\\"{o}}gliche Werkzeuge f{\\\"{u}}r eine solche Rekonstruktion werden Toulmins Argumentationsschema und Vergnauds Schema-Begriff exemplarisch angewandt, um das diagrammatische Schlie{\\ss}en eines Sch{\\\"{u}}lerpaars beim Einstieg in die Subtraktion negativer Zahlen zu rekonstruieren. Abschlie{\\ss}end wird die tats{\\\"{a}}chliche Eignung der beiden Ans{\\\"{a}}tze zur Rekonstruktion diagrammatischen Schlie{\\ss}ens diskutiert.","lang":"ger"}],"quality_controlled":"1","citation":{"mla":"Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge.” <i>Zeichen und Sprache im Mathematikunterricht</i>, edited by Gert Kadunz, Springer, 2020, doi:<a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">10.1007/978-3-662-61194-4_5</a>.","ama":"Schumacher J, Rezat S. Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge. In: Kadunz G, ed. <i>Zeichen und Sprache im Mathematikunterricht</i>. Springer; 2020. doi:<a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">10.1007/978-3-662-61194-4_5</a>","bibtex":"@inbook{Schumacher_Rezat_2020, title={Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">10.1007/978-3-662-61194-4_5</a>}, booktitle={Zeichen und Sprache im Mathematikunterricht}, publisher={Springer}, author={Schumacher, Jan and Rezat, Sebastian}, editor={Kadunz, GertEditor}, year={2020} }","apa":"Schumacher, J., &#38; Rezat, S. (2020). Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge. In G. Kadunz (Ed.), <i>Zeichen und Sprache im Mathematikunterricht</i>. Springer. <a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">https://doi.org/10.1007/978-3-662-61194-4_5</a>","ieee":"J. Schumacher and S. Rezat, “Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge,” in <i>Zeichen und Sprache im Mathematikunterricht</i>, G. Kadunz, Ed. Springer, 2020.","short":"J. Schumacher, S. Rezat, in: G. Kadunz (Ed.), Zeichen und Sprache im Mathematikunterricht, Springer, 2020.","chicago":"Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge.” In <i>Zeichen und Sprache im Mathematikunterricht</i>, edited by Gert Kadunz. Springer, 2020. <a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">https://doi.org/10.1007/978-3-662-61194-4_5</a>."},"publication":"Zeichen und Sprache im Mathematikunterricht"},{"doi":"10.17877/DE290R-21555","user_id":"26809","_id":"31873","language":[{"iso":"eng"}],"publisher":"LibreCat University","date_updated":"2022-06-14T07:15:34Z","publication_status":"published","status":"public","year":"2020","title":"Deduktion und Abduktion beim diagrammatischen Schließen – das didaktische Potential der Peirceschen Semiotik","author":[{"id":"26809","full_name":"Schumacher, Jan","last_name":"Schumacher","orcid":"0000-0002-6676-9774","first_name":"Jan"}],"type":"conference","department":[{"_id":"360"},{"_id":"98"}],"date_created":"2022-06-14T07:10:29Z","citation":{"mla":"Schumacher, Jan. <i>Deduktion Und Abduktion Beim Diagrammatischen Schließen – Das Didaktische Potential Der Peirceschen Semiotik</i>. LibreCat University, 2020, doi:<a href=\"https://doi.org/10.17877/DE290R-21555\">10.17877/DE290R-21555</a>.","ama":"Schumacher J. Deduktion und Abduktion beim diagrammatischen Schließen – das didaktische Potential der Peirceschen Semiotik. In: LibreCat University; 2020. doi:<a href=\"https://doi.org/10.17877/DE290R-21555\">10.17877/DE290R-21555</a>","bibtex":"@inproceedings{Schumacher_2020, title={Deduktion und Abduktion beim diagrammatischen Schließen – das didaktische Potential der Peirceschen Semiotik}, DOI={<a href=\"https://doi.org/10.17877/DE290R-21555\">10.17877/DE290R-21555</a>}, publisher={LibreCat University}, author={Schumacher, Jan}, year={2020} }","apa":"Schumacher, J. (2020). <i>Deduktion und Abduktion beim diagrammatischen Schließen – das didaktische Potential der Peirceschen Semiotik</i>. <a href=\"https://doi.org/10.17877/DE290R-21555\">https://doi.org/10.17877/DE290R-21555</a>","ieee":"J. Schumacher, “Deduktion und Abduktion beim diagrammatischen Schließen – das didaktische Potential der Peirceschen Semiotik,” 2020, doi: <a href=\"https://doi.org/10.17877/DE290R-21555\">10.17877/DE290R-21555</a>.","short":"J. Schumacher, in: LibreCat University, 2020.","chicago":"Schumacher, Jan. “Deduktion Und Abduktion Beim Diagrammatischen Schließen – Das Didaktische Potential Der Peirceschen Semiotik.” LibreCat University, 2020. <a href=\"https://doi.org/10.17877/DE290R-21555\">https://doi.org/10.17877/DE290R-21555</a>."}},{"language":[{"iso":"eng"}],"doi":"10.5817/AM2020-5-307","title":"Lie groupoids of mappings taking values in a Lie groupoid","year":"2020","publication_identifier":{"issn":["0044-8753"]},"author":[{"last_name":"Amiri","first_name":"Habib","full_name":"Amiri, Habib"},{"full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner","id":"178"},{"full_name":"Schmeding, Alexander","first_name":"Alexander","last_name":"Schmeding"}],"date_updated":"2022-12-21T19:15:59Z","intvolume":"        56","article_type":"original","date_created":"2022-12-21T19:13:24Z","keyword":["22A22","22E65","22E67","46T10","47H30","58D15","58H05"],"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"publication":"Archivum Mathematicum","issue":"5","page":"307–356","_id":"34789","user_id":"178","volume":56,"status":"public","citation":{"ama":"Amiri H, Glöckner H, Schmeding A. Lie groupoids of mappings taking values in a Lie groupoid. <i>Archivum Mathematicum</i>. 2020;56(5):307–356. doi:<a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>","bibtex":"@article{Amiri_Glöckner_Schmeding_2020, title={Lie groupoids of mappings taking values in a Lie groupoid}, volume={56}, DOI={<a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>}, number={5}, journal={Archivum Mathematicum}, author={Amiri, Habib and Glöckner, Helge and Schmeding, Alexander}, year={2020}, pages={307–356} }","mla":"Amiri, Habib, et al. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” <i>Archivum Mathematicum</i>, vol. 56, no. 5, 2020, pp. 307–356, doi:<a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>.","short":"H. Amiri, H. Glöckner, A. Schmeding, Archivum Mathematicum 56 (2020) 307–356.","chicago":"Amiri, Habib, Helge Glöckner, and Alexander Schmeding. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” <i>Archivum Mathematicum</i> 56, no. 5 (2020): 307–356. <a href=\"https://doi.org/10.5817/AM2020-5-307\">https://doi.org/10.5817/AM2020-5-307</a>.","apa":"Amiri, H., Glöckner, H., &#38; Schmeding, A. (2020). Lie groupoids of mappings taking values in a Lie groupoid. <i>Archivum Mathematicum</i>, <i>56</i>(5), 307–356. <a href=\"https://doi.org/10.5817/AM2020-5-307\">https://doi.org/10.5817/AM2020-5-307</a>","ieee":"H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” <i>Archivum Mathematicum</i>, vol. 56, no. 5, pp. 307–356, 2020, doi: <a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>."},"quality_controlled":"1"},{"language":[{"iso":"eng"}],"_id":"34787","page":"35–38","volume":55,"user_id":"178","author":[{"id":"178","last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge"},{"full_name":"Masbough, Niku","first_name":"Niku","last_name":"Masbough"}],"publication_identifier":{"issn":["0146-4124"]},"title":"Products of regular locally compact spaces are k_R-spaces","status":"public","year":"2020","intvolume":"        55","article_type":"original","date_updated":"2022-12-21T20:06:44Z","date_created":"2022-12-21T19:06:45Z","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"keyword":["54B10","54D45","54D50"],"type":"journal_article","citation":{"ama":"Glöckner H, Masbough N. Products of regular locally compact spaces are k_R-spaces. <i>Topology Proceedings</i>. 2020;55:35–38.","bibtex":"@article{Glöckner_Masbough_2020, title={Products of regular locally compact spaces are k_R-spaces}, volume={55}, journal={Topology Proceedings}, author={Glöckner, Helge and Masbough, Niku}, year={2020}, pages={35–38} }","mla":"Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact Spaces Are K_R-Spaces.” <i>Topology Proceedings</i>, vol. 55, 2020, pp. 35–38.","chicago":"Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact Spaces Are K_R-Spaces.” <i>Topology Proceedings</i> 55 (2020): 35–38.","short":"H. Glöckner, N. Masbough, Topology Proceedings 55 (2020) 35–38.","apa":"Glöckner, H., &#38; Masbough, N. (2020). Products of regular locally compact spaces are k_R-spaces. <i>Topology Proceedings</i>, <i>55</i>, 35–38.","ieee":"H. Glöckner and N. Masbough, “Products of regular locally compact spaces are k_R-spaces,” <i>Topology Proceedings</i>, vol. 55, pp. 35–38, 2020."},"publication":"Topology Proceedings","quality_controlled":"1"},{"type":"preprint","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"external_id":{"arxiv":["2006.00254"]},"date_created":"2022-12-22T07:51:53Z","abstract":[{"lang":"eng","text":"For suitable finite-dimensional smooth manifolds M (possibly with various\r\nkinds of boundary or corners), locally convex topological vector spaces F and\r\nnon-negative integers k, we construct continuous linear operators S_n from the\r\nspace of F-valued k times continuously differentiable functions on M to the\r\ncorresponding space of smooth functions such that S_n(f) converges to f in\r\nC^k(M,F) as n tends to infinity, uniformly for f in compact subsets of\r\nC^k(M,F). We also study the existence of continuous linear right inverses for\r\nrestriction maps from C^k(M,F) to C^k(L,F) if L is a closed subset of M,\r\nendowed with a C^k-manifold structure turning the inclusion map from L to M\r\ninto a C^k-map. Moreover, we construct continuous linear right inverses for\r\nrestriction operators between spaces of sections in vector bundles in many\r\nsituations, and smooth local right inverses for restriction operators between\r\nmanifolds of mappings. We also obtain smoothing results for sections in fibre\r\nbundles."}],"publication":"arXiv:2006.00254","citation":{"mla":"Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension Operators.” <i>ArXiv:2006.00254</i>, 2020.","bibtex":"@article{Glöckner_2020, title={Smoothing operators for vector-valued functions and extension operators}, journal={arXiv:2006.00254}, author={Glöckner, Helge}, year={2020} }","ama":"Glöckner H. Smoothing operators for vector-valued functions and extension operators. <i>arXiv:200600254</i>. Published online 2020.","ieee":"H. Glöckner, “Smoothing operators for vector-valued functions and extension operators,” <i>arXiv:2006.00254</i>. 2020.","apa":"Glöckner, H. (2020). Smoothing operators for vector-valued functions and extension operators. In <i>arXiv:2006.00254</i>.","short":"H. Glöckner, ArXiv:2006.00254 (2020).","chicago":"Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension Operators.” <i>ArXiv:2006.00254</i>, 2020."},"user_id":"178","_id":"34808","language":[{"iso":"eng"}],"date_updated":"2022-12-22T07:52:42Z","status":"public","year":"2020","title":"Smoothing operators for vector-valued functions and extension operators","author":[{"last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge","id":"178"}]},{"citation":{"apa":"Limebeer, D. J. N., Ober-Blöbaum, S., &#38; Farshi, F. H. (2020). Variational integrators for dissipative systems. <i>IEEE Transactions on Automatic Control</i>, <i>65(4)</i>, 1381–1396.","ieee":"D. J. N. Limebeer, S. Ober-Blöbaum, and F. H. Farshi, “Variational integrators for dissipative systems,” <i>IEEE Transactions on Automatic Control</i>, vol. 65(4), pp. 1381–1396, 2020.","chicago":"Limebeer, D. J. N., Sina Ober-Blöbaum, and F. H. Farshi. “Variational Integrators for Dissipative Systems.” <i>IEEE Transactions on Automatic Control</i> 65(4) (2020): 1381–96.","short":"D.J.N. Limebeer, S. Ober-Blöbaum, F.H. Farshi, IEEE Transactions on Automatic Control 65(4) (2020) 1381–1396.","mla":"Limebeer, D. J. N., et al. “Variational Integrators for Dissipative Systems.” <i>IEEE Transactions on Automatic Control</i>, vol. 65(4), 2020, pp. 1381–96.","ama":"Limebeer DJN, Ober-Blöbaum S, Farshi FH. Variational integrators for dissipative systems. <i>IEEE Transactions on Automatic Control</i>. 2020;65(4):1381-1396.","bibtex":"@article{Limebeer_Ober-Blöbaum_Farshi_2020, title={Variational integrators for dissipative systems}, volume={65(4)}, journal={IEEE Transactions on Automatic Control}, author={Limebeer, D. J. N. and Ober-Blöbaum, Sina and Farshi, F. H.}, year={2020}, pages={1381–1396} }"},"publication":"IEEE Transactions on Automatic Control","date_created":"2022-01-18T11:17:25Z","department":[{"_id":"636"}],"type":"journal_article","author":[{"full_name":"Limebeer, D. J. N.","last_name":"Limebeer","first_name":"D. J. N."},{"id":"16494","full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum"},{"first_name":"F. H.","last_name":"Farshi","full_name":"Farshi, F. H."}],"title":"Variational integrators for dissipative systems","year":"2020","status":"public","date_updated":"2022-01-21T08:26:46Z","language":[{"iso":"eng"}],"_id":"29399","page":"1381-1396","volume":"65(4)","user_id":"15694"},{"date_created":"2020-03-13T12:45:56Z","type":"journal_article","department":[{"_id":"101"}],"publication":"International Journal of Robust and Nonlinear Control","citation":{"bibtex":"@article{Hernández Castellanos_Ober-Blöbaum_Peitz_2020, title={Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty}, volume={30(17)}, DOI={<a href=\"https://doi.org/10.1002/rnc.5197\">10.1002/rnc.5197</a>}, journal={International Journal of Robust and Nonlinear Control}, author={Hernández Castellanos, Carlos Ignacio and Ober-Blöbaum, Sina and Peitz, Sebastian}, year={2020}, pages={7593–7618} }","ama":"Hernández Castellanos CI, Ober-Blöbaum S, Peitz S. Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty. <i>International Journal of Robust and Nonlinear Control</i>. 2020;30(17):7593-7618. doi:<a href=\"https://doi.org/10.1002/rnc.5197\">10.1002/rnc.5197</a>","mla":"Hernández Castellanos, Carlos Ignacio, et al. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems  Under Uncertainty.” <i>International Journal of Robust and Nonlinear Control</i>, vol. 30(17), 2020, pp. 7593–618, doi:<a href=\"https://doi.org/10.1002/rnc.5197\">10.1002/rnc.5197</a>.","short":"C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.","chicago":"Hernández Castellanos, Carlos Ignacio, Sina Ober-Blöbaum, and Sebastian Peitz. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems  Under Uncertainty.” <i>International Journal of Robust and Nonlinear Control</i> 30(17) (2020): 7593–7618. <a href=\"https://doi.org/10.1002/rnc.5197\">https://doi.org/10.1002/rnc.5197</a>.","ieee":"C. I. Hernández Castellanos, S. Ober-Blöbaum, and S. Peitz, “Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty,” <i>International Journal of Robust and Nonlinear Control</i>, vol. 30(17), pp. 7593–7618, 2020, doi: <a href=\"https://doi.org/10.1002/rnc.5197\">10.1002/rnc.5197</a>.","apa":"Hernández Castellanos, C. I., Ober-Blöbaum, S., &#38; Peitz, S. (2020). Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty. <i>International Journal of Robust and Nonlinear Control</i>, <i>30(17)</i>, 7593–7618. <a href=\"https://doi.org/10.1002/rnc.5197\">https://doi.org/10.1002/rnc.5197</a>"},"abstract":[{"lang":"eng","text":"In real-world problems, uncertainties (e.g., errors in the measurement,\r\nprecision errors) often lead to poor performance of numerical algorithms when\r\nnot explicitly taken into account. This is also the case for control problems,\r\nwhere optimal solutions can degrade in quality or even become infeasible. Thus,\r\nthere is the need to design methods that can handle uncertainty. In this work,\r\nwe consider nonlinear multi-objective optimal control problems with uncertainty\r\non the initial conditions, and in particular their incorporation into a\r\nfeedback loop via model predictive control (MPC). In multi-objective optimal\r\ncontrol, an optimal compromise between multiple conflicting criteria has to be\r\nfound. For such problems, not much has been reported in terms of uncertainties.\r\nTo address this problem class, we design an offline/online framework to compute\r\nan approximation of efficient control strategies. This approach is closely\r\nrelated to explicit MPC for nonlinear systems, where the potentially expensive\r\noptimization problem is solved in an offline phase in order to enable fast\r\nsolutions in the online phase. In order to reduce the numerical cost of the\r\noffline phase, we exploit symmetries in the control problems. Furthermore, in\r\norder to ensure optimality of the solutions, we include an additional online\r\noptimization step, which is considerably cheaper than the original\r\nmulti-objective optimization problem. We test our framework on a car\r\nmaneuvering problem where safety and speed are the objectives. The\r\nmulti-objective framework allows for online adaptations of the desired\r\nobjective. Alternatively, an automatic scalarizing procedure yields very\r\nefficient feedback controls. Our results show that the method is capable of\r\ndesigning driving strategies that deal better with uncertainties in the initial\r\nconditions, which translates into potentially safer and faster driving\r\nstrategies."}],"page":"7593-7618","_id":"16297","language":[{"iso":"eng"}],"doi":"10.1002/rnc.5197","user_id":"15694","volume":"30(17)","year":"2020","status":"public","title":"Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty","author":[{"full_name":"Hernández Castellanos, Carlos Ignacio","last_name":"Hernández Castellanos","first_name":"Carlos Ignacio"},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum","id":"16494"},{"id":"47427","orcid":"https://orcid.org/0000-0002-3389-793X","first_name":"Sebastian","last_name":"Peitz","full_name":"Peitz, Sebastian"}],"date_updated":"2022-01-21T09:55:39Z"},{"citation":{"ama":"Hernández Castellanos CIO, Schütze G, Sun J-Q, Ober-Blöbaum S, Morales-Luna G. Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping. <i>Mathematics</i>. 2020;8(11):1959.","bibtex":"@article{Hernández Castellanos_Schütze_Sun_Ober-Blöbaum_Morales-Luna_2020, title={Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping}, volume={8(11):1959}, journal={Mathematics}, author={Hernández Castellanos, C. I. O. and Schütze, G. and Sun, J.-Q. and Ober-Blöbaum, Sina and Morales-Luna, G.}, year={2020} }","mla":"Hernández Castellanos, C. I. O., et al. “Numerical Computation of Lightly Multi-Objective Robust Optimal Solutions by Means of Generalized Cell Mapping.” <i>Mathematics</i>, vol. 8(11):1959, 2020.","short":"C.I.O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, G. Morales-Luna, Mathematics 8(11):1959 (2020).","chicago":"Hernández Castellanos, C. I. O., G. Schütze, J.-Q. Sun, Sina Ober-Blöbaum, and G. Morales-Luna. “Numerical Computation of Lightly Multi-Objective Robust Optimal Solutions by Means of Generalized Cell Mapping.” <i>Mathematics</i> 8(11):1959 (2020).","apa":"Hernández Castellanos, C. I. O., Schütze, G., Sun, J.-Q., Ober-Blöbaum, S., &#38; Morales-Luna, G. (2020). Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping. <i>Mathematics</i>, <i>8(11):1959</i>.","ieee":"C. I. O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, and G. Morales-Luna, “Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping,” <i>Mathematics</i>, vol. 8(11):1959, 2020."},"publication":"Mathematics","date_created":"2022-01-18T11:08:28Z","department":[{"_id":"636"}],"type":"journal_article","author":[{"full_name":"Hernández Castellanos, C. I. O.","first_name":"C. I. O.","last_name":"Hernández Castellanos"},{"first_name":"G.","last_name":"Schütze","full_name":"Schütze, G."},{"last_name":"Sun","first_name":"J.-Q.","full_name":"Sun, J.-Q."},{"id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"},{"full_name":"Morales-Luna, G.","last_name":"Morales-Luna","first_name":"G."}],"year":"2020","status":"public","title":"Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping","date_updated":"2022-01-21T09:57:35Z","_id":"29398","language":[{"iso":"eng"}],"volume":"8(11):1959","user_id":"15694"},{"user_id":"15694","language":[{"iso":"eng"}],"_id":"29422","date_updated":"2022-01-21T13:45:40Z","year":"2020","status":"public","title":"A multirate variational approach to simulation and optimal control for flexible spacecraft","author":[{"full_name":"Lishkova, Y.","last_name":"Lishkova","first_name":"Y."},{"last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"first_name":"M.","last_name":"Cannon","full_name":"Cannon, M."},{"first_name":"S.","last_name":"Leyendecker","full_name":"Leyendecker, S."}],"type":"conference","department":[{"_id":"636"}],"date_created":"2022-01-18T14:37:53Z","publication":"Accepted for publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe","citation":{"apa":"Lishkova, Y., Ober-Blöbaum, S., Cannon, M., &#38; Leyendecker, S. (2020). A multirate variational approach to simulation and optimal control for flexible spacecraft. <i>Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe</i>.","ieee":"Y. Lishkova, S. Ober-Blöbaum, M. Cannon, and S. Leyendecker, “A multirate variational approach to simulation and optimal control for flexible spacecraft,” 2020.","short":"Y. Lishkova, S. Ober-Blöbaum, M. Cannon, S. Leyendecker, in: Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe, 2020.","chicago":"Lishkova, Y., Sina Ober-Blöbaum, M. Cannon, and S. 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On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. <i>Geometriae Dedicata</i>. 2020;213(1):295-314. doi:<a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>","mla":"Jean, Frédéric, et al. “On Weyl’s Type Theorems and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” <i>Geometriae Dedicata</i>, vol. 213, no. 1, Springer Science and Business Media LLC, 2020, pp. 295–314, doi:<a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>.","short":"F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.","chicago":"Jean, Frédéric, Sofya Maslovskaya, and Igor Zelenko. “On Weyl’s Type Theorems and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” <i>Geometriae Dedicata</i> 213, no. 1 (2020): 295–314. <a href=\"https://doi.org/10.1007/s10711-020-00581-z\">https://doi.org/10.1007/s10711-020-00581-z</a>.","ieee":"F. Jean, S. Maslovskaya, and I. Zelenko, “On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry,” <i>Geometriae Dedicata</i>, vol. 213, no. 1, pp. 295–314, 2020, doi: <a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>.","apa":"Jean, F., Maslovskaya, S., &#38; Zelenko, I. (2020). On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. <i>Geometriae Dedicata</i>, <i>213</i>(1), 295–314. <a href=\"https://doi.org/10.1007/s10711-020-00581-z\">https://doi.org/10.1007/s10711-020-00581-z</a>"},"status":"public","page":"295-314","_id":"29545","publisher":"Springer Science and Business Media LLC","user_id":"87909","volume":213},{"date_updated":"2022-01-26T13:39:01Z","title":"The turnpike property in maximization of microbial metabolite production","status":"public","year":"2020","conference":{"name":"IFAC 2020 - 21rst IFAC World Congress"},"author":[{"id":"87909","full_name":"Maslovskaya, Sofya","last_name":"Maslovskaya","first_name":"Sofya"},{"first_name":"Jean-Baptiste","last_name":"Caillau","full_name":"Caillau, Jean-Baptiste"},{"full_name":"Djema, Walid","last_name":"Djema","first_name":"Walid"},{"first_name":"Laetitia","last_name":"Giraldi","full_name":"Giraldi, Laetitia"},{"full_name":"Jean-Luc, Jean-Luc","last_name":"Jean-Luc","first_name":"Jean-Luc"},{"full_name":"Pomet, Jean-Baptiste","last_name":"Pomet","first_name":"Jean-Baptiste"}],"user_id":"87909","main_file_link":[{"url":"https://hal.archives-ouvertes.fr/hal-02916081/document","open_access":"1"}],"_id":"29546","language":[{"iso":"eng"}],"quality_controlled":"1","extern":"1","citation":{"apa":"Maslovskaya, S., Caillau, J.-B., Djema, W., Giraldi, L., Jean-Luc, J.-L., &#38; Pomet, J.-B. (2020). <i>The turnpike property in maximization of microbial metabolite production</i>. IFAC 2020 - 21rst IFAC World Congress.","mla":"Maslovskaya, Sofya, et al. <i>The Turnpike Property in Maximization of Microbial Metabolite Production</i>. 2020.","ieee":"S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, and J.-B. Pomet, “The turnpike property in maximization of microbial metabolite production,” presented at the IFAC 2020 - 21rst IFAC World Congress, 2020.","ama":"Maslovskaya S, Caillau J-B, Djema W, Giraldi L, Jean-Luc J-L, Pomet J-B. The turnpike property in maximization of microbial metabolite production. In: ; 2020.","short":"S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B. Pomet, in: 2020.","chicago":"Maslovskaya, Sofya, Jean-Baptiste Caillau, Walid Djema, Laetitia Giraldi, Jean-Luc Jean-Luc, and Jean-Baptiste Pomet. “The Turnpike Property in Maximization of Microbial Metabolite Production,” 2020.","bibtex":"@inproceedings{Maslovskaya_Caillau_Djema_Giraldi_Jean-Luc_Pomet_2020, title={The turnpike property in maximization of microbial metabolite production}, author={Maslovskaya, Sofya and Caillau, Jean-Baptiste and Djema, Walid and Giraldi, Laetitia and Jean-Luc, Jean-Luc and Pomet, Jean-Baptiste}, year={2020} }"},"type":"conference_abstract","oa":"1","department":[{"_id":"636"}],"date_created":"2022-01-26T13:26:36Z"},{"abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\ne 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>≠</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.\r\n</jats:p>","lang":"eng"}],"issue":"2","publication":"Communications in Mathematical Physics","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"type":"journal_article","date_created":"2022-05-17T12:06:06Z","intvolume":"       378","date_updated":"2022-05-19T10:13:48Z","publication_status":"published","publication_identifier":{"issn":["0010-3616","1432-0916"]},"author":[{"last_name":"Küster","first_name":"Benjamin","full_name":"Küster, Benjamin"},{"last_name":"Weich","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"}],"title":"Pollicott-Ruelle Resonant States and Betti Numbers","year":"2020","doi":"10.1007/s00220-020-03793-2","language":[{"iso":"eng"}],"citation":{"mla":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, Springer Science and Business Media LLC, 2020, pp. 917–41, doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","ama":"Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>. 2020;378(2):917-941. doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>","bibtex":"@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and Betti Numbers}, volume={378}, DOI={<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias}, year={2020}, pages={917–941} }","apa":"Küster, B., &#38; Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>, <i>378</i>(2), 917–941. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>","ieee":"B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, pp. 917–941, 2020, doi: <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","chicago":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i> 378, no. 2 (2020): 917–41. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>.","short":"B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941."},"status":"public","volume":378,"user_id":"49178","_id":"31264","publisher":"Springer Science and Business Media LLC","page":"917-941"},{"publication":"Beiträge zum Mathematikunterricht 2020","date_created":"2022-05-22T14:41:16Z","department":[{"_id":"97"}],"type":"conference","author":[{"full_name":"Hoffmann, Max","first_name":"Max","last_name":"Hoffmann","id":"32202"}],"year":"2020","title":"Schnittstellenaktivitäten zum Kongruenzsatz WSW","publication_status":"published","date_updated":"2022-05-22T14:44:17Z","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://eldorado.tu-dortmund.de/handle/2003/39476","open_access":"1"}],"doi":"10.17877/DE290R-21368","citation":{"short":"M. Hoffmann, in: H.-S. Siller, W. Weigel, J.F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020, WTM-Verlag, Münster, 2020, pp. 1353–1356.","chicago":"Hoffmann, Max. “Schnittstellenaktivitäten zum Kongruenzsatz WSW.” In <i>Beiträge zum Mathematikunterricht 2020</i>, edited by Hans-Stefan Siller, Wolfgang Weigel, and Jan Franz Wörler, 1353–56. Münster: WTM-Verlag, 2020. <a href=\"https://doi.org/10.17877/DE290R-21368\">https://doi.org/10.17877/DE290R-21368</a>.","apa":"Hoffmann, M. (2020). Schnittstellenaktivitäten zum Kongruenzsatz WSW. In H.-S. Siller, W. Weigel, &#38; J. F. Wörler (Eds.), <i>Beiträge zum Mathematikunterricht 2020</i> (pp. 1353–1356). WTM-Verlag. <a href=\"https://doi.org/10.17877/DE290R-21368\">https://doi.org/10.17877/DE290R-21368</a>","ieee":"M. Hoffmann, “Schnittstellenaktivitäten zum Kongruenzsatz WSW,” in <i>Beiträge zum Mathematikunterricht 2020</i>, 2020, pp. 1353–1356, doi: <a href=\"https://doi.org/10.17877/DE290R-21368\">10.17877/DE290R-21368</a>.","ama":"Hoffmann M. Schnittstellenaktivitäten zum Kongruenzsatz WSW. In: Siller H-S, Weigel W, Wörler JF, eds. <i>Beiträge zum Mathematikunterricht 2020</i>. WTM-Verlag; 2020:1353-1356. doi:<a href=\"https://doi.org/10.17877/DE290R-21368\">10.17877/DE290R-21368</a>","bibtex":"@inproceedings{Hoffmann_2020, place={Münster}, title={Schnittstellenaktivitäten zum Kongruenzsatz WSW}, DOI={<a href=\"https://doi.org/10.17877/DE290R-21368\">10.17877/DE290R-21368</a>}, booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Hoffmann, Max}, editor={Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan Franz}, year={2020}, pages={1353–1356} }","mla":"Hoffmann, Max. “Schnittstellenaktivitäten zum Kongruenzsatz WSW.” <i>Beiträge zum Mathematikunterricht 2020</i>, edited by Hans-Stefan Siller et al., WTM-Verlag, 2020, pp. 1353–56, doi:<a href=\"https://doi.org/10.17877/DE290R-21368\">10.17877/DE290R-21368</a>."},"place":"Münster","oa":"1","status":"public","publisher":"WTM-Verlag","_id":"31372","page":"1353-1356","editor":[{"first_name":"Hans-Stefan","last_name":"Siller","full_name":"Siller, Hans-Stefan"},{"full_name":"Weigel, Wolfgang","first_name":"Wolfgang","last_name":"Weigel"},{"first_name":"Jan Franz","last_name":"Wörler","full_name":"Wörler, Jan Franz"}],"user_id":"32202"},{"citation":{"ieee":"M. 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