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Published online 2019.","bibtex":"@article{Gerlach_Koltai_Dellnitz_2019, title={Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems}, journal={arXiv:1902.08824}, author={Gerlach, Raphael and Koltai, Péter and Dellnitz, Michael}, year={2019} }","mla":"Gerlach, Raphael, et al. “Revealing the Intrinsic Geometry of Finite Dimensional Invariant Sets of Infinite Dimensional Dynamical Systems.” ArXiv:1902.08824, 2019.","ieee":"R. Gerlach, P. Koltai, and M. Dellnitz, “Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems,” arXiv:1902.08824. 2019."},"year":"2019","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1902.08824","open_access":"1"}],"oa":"1","date_updated":"2022-06-20T13:17:53Z","_id":"16711","date_created":"2020-04-16T14:06:21Z","has_accepted_license":"1","status":"public","department":[{"_id":"101"}],"publication":"arXiv:1902.08824","author":[{"full_name":"Gerlach, Raphael","first_name":"Raphael","id":"32655","last_name":"Gerlach"},{"last_name":"Koltai","full_name":"Koltai, Péter","first_name":"Péter"},{"full_name":"Dellnitz, Michael","first_name":"Michael","last_name":"Dellnitz"}],"ddc":["510"],"title":"Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems","user_id":"32655","abstract":[{"lang":"eng","text":"Embedding techniques allow the approximations of finite dimensional\r\nattractors and manifolds of infinite dimensional dynamical systems via\r\nsubdivision and continuation methods. These approximations give a topological\r\none-to-one image of the original set. In order to additionally reveal their\r\ngeometry we use diffusion mapst o find intrinsic coordinates. We illustrate our\r\nresults on the unstable manifold of the one-dimensional Kuramoto--Sivashinsky\r\nequation, as well as for the attractor of the Mackey-Glass delay differential\r\nequation."}]},{"title":"Materials für inclusive mathematics education - Design principles an practices.","user_id":"85821","place":"Paderborn","editor":[{"last_name":"Rezat","first_name":"Sebastian","full_name":"Rezat, Sebastian"},{"first_name":"L.","full_name":"Fan, L.","last_name":"Fan"},{"last_name":"Hattermann","full_name":"Hattermann, M.","first_name":"M."},{"full_name":"Schumacher, J.","first_name":"J.","last_name":"Schumacher"},{"full_name":"Wuschke, H.","first_name":"H.","last_name":"Wuschke"}],"status":"public","date_created":"2022-06-21T05:59:51Z","author":[{"first_name":"Uta","full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","id":"60267"},{"first_name":"M.","full_name":"Nührenbörger, M.","last_name":"Nührenbörger"}],"department":[{"_id":"98"},{"_id":"543"}],"publication":"Proceedings of the Third International Conference on Mathematics Textbook Research an Development","corporate_editor":["Universitätsbibliothek Paderborn"],"date_updated":"2022-06-21T05:59:59Z","_id":"32089","year":"2019","citation":{"short":"U. 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Nührenbörger. “Materials Für Inclusive Mathematics Education - Design Principles an Practices.” Proceedings of the Third International Conference on Mathematics Textbook Research an Development, edited by Sebastian Rezat et al., 2019, pp. 185–90.","bibtex":"@inproceedings{Häsel-Weide_Nührenbörger_2019, place={Paderborn}, title={Materials für inclusive mathematics education - Design principles an practices.}, booktitle={Proceedings of the Third International Conference on Mathematics Textbook Research an Development}, author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Rezat, Sebastian and Fan, L. and Hattermann, M. and Schumacher, J. and Wuschke, H. and Universitätsbibliothek Paderborn}, year={2019}, pages={185–190} }"},"type":"conference","page":"185-190","language":[{"iso":"eng"}]},{"language":[{"iso":"ger"}],"type":"journal_article","year":"2019","citation":{"short":"T. Breucker, O. Freesemann, U. Häsel-Weide, E.M. Opitz, M. Nührenbörger, C. 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Mizukami, Applicable Analysis 99 (2019) 2877–2891."},"type":"journal_article","page":"2877-2891","user_id":"23686","status":"public","date_created":"2022-12-21T09:48:19Z","volume":99,"publisher":"Informa UK Limited","author":[{"first_name":"Tobias","orcid":"0000-0001-9963-0800","full_name":"Black, Tobias","last_name":"Black","id":"23686"},{"last_name":"Lankeit","full_name":"Lankeit, Johannes","first_name":"Johannes"},{"full_name":"Mizukami, Masaaki","first_name":"Masaaki","last_name":"Mizukami"}],"keyword":["Applied Mathematics","Analysis"],"publication":"Applicable Analysis"},{"doi":"10.4171/jems/867","date_updated":"2022-05-19T10:12:59Z","language":[{"iso":"eng"}],"title":"Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich","external_id":{"arxiv":["1512.00836"]},"publication_identifier":{"issn":["1435-9855"]},"publication_status":"published","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"issue":"6","intvolume":" 21","_id":"31265","page":"1595-1639","citation":{"ieee":"S. Dyatlov, D. Borthwick, and T. Weich, “Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich,” Journal of the European Mathematical Society, vol. 21, no. 6, pp. 1595–1639, 2019, doi: 10.4171/jems/867.","short":"S. Dyatlov, D. Borthwick, T. Weich, Journal of the European Mathematical Society 21 (2019) 1595–1639.","bibtex":"@article{Dyatlov_Borthwick_Weich_2019, title={Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich}, volume={21}, DOI={10.4171/jems/867}, number={6}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Dyatlov, Semyon and Borthwick, David and Weich, Tobias}, year={2019}, pages={1595–1639} }","mla":"Dyatlov, Semyon, et al. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.” Journal of the European Mathematical Society, vol. 21, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2019, pp. 1595–639, doi:10.4171/jems/867.","apa":"Dyatlov, S., Borthwick, D., & Weich, T. (2019). Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. Journal of the European Mathematical Society, 21(6), 1595–1639. https://doi.org/10.4171/jems/867","ama":"Dyatlov S, Borthwick D, Weich T. Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. Journal of the European Mathematical Society. 2019;21(6):1595-1639. doi:10.4171/jems/867","chicago":"Dyatlov, Semyon, David Borthwick, and Tobias Weich. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.” Journal of the European Mathematical Society 21, no. 6 (2019): 1595–1639. https://doi.org/10.4171/jems/867."},"year":"2019","type":"journal_article","user_id":"49178","volume":21,"date_created":"2022-05-17T12:06:41Z","status":"public","keyword":["Applied Mathematics","General Mathematics"],"publication":"Journal of the European Mathematical Society","author":[{"full_name":"Dyatlov, Semyon","first_name":"Semyon","last_name":"Dyatlov"},{"last_name":"Borthwick","first_name":"David","full_name":"Borthwick, David"},{"first_name":"Tobias","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","id":"49178"}],"publisher":"European Mathematical Society - EMS - Publishing House GmbH"},{"doi":"10.1007/s00591-018-00244-x","date_updated":"2022-05-22T15:58:43Z","_id":"31383","intvolume":" 66","page":"117–118","type":"review","citation":{"short":"M. Hoffmann, Mathematische Semesterberichte 66 (2019) 117–118.","ieee":"M. Hoffmann, “Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die vierte Dimension,” Mathematische Semesterberichte, vol. 66. pp. 117–118, 2019, doi: 10.1007/s00591-018-00244-x.","ama":"Hoffmann M. Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die vierte Dimension. Mathematische Semesterberichte. 2019;66:117–118. doi:10.1007/s00591-018-00244-x","apa":"Hoffmann, M. (2019). Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die vierte Dimension. In Mathematische Semesterberichte (Vol. 66, pp. 117–118). https://doi.org/10.1007/s00591-018-00244-x","chicago":"Hoffmann, Max. “Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die vierte Dimension.” Mathematische Semesterberichte, 2019. https://doi.org/10.1007/s00591-018-00244-x.","bibtex":"@article{Hoffmann_2019, title={Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die vierte Dimension}, volume={66}, DOI={10.1007/s00591-018-00244-x}, journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2019}, pages={117–118} }","mla":"Hoffmann, Max. “Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die vierte Dimension.” Mathematische Semesterberichte, vol. 66, 2019, pp. 117–118, doi:10.1007/s00591-018-00244-x."},"year":"2019","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://link.springer.com/article/10.1007/s00591-018-00244-x"}],"title":"Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die vierte Dimension","user_id":"32202","publication_status":"published","volume":66,"date_created":"2022-05-22T15:17:07Z","status":"public","department":[{"_id":"97"}],"publication":"Mathematische Semesterberichte","author":[{"id":"32202","last_name":"Hoffmann","full_name":"Hoffmann, Max","first_name":"Max"}]},{"status":"public","date_created":"2022-05-11T10:42:11Z","author":[{"full_name":"Kolb, Martin","first_name":"Martin","last_name":"Kolb"},{"id":"49178","last_name":"Weich","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias"},{"full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart","id":"45027","last_name":"Wolf"}],"department":[{"_id":"548"}],"publication":"arXiv:1909.06183","user_id":"45027","title":"Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces","external_id":{"arxiv":["1909.06183"]},"abstract":[{"lang":"eng","text":"The kinetic Brownian motion on the sphere bundle of a Riemannian manifold $M$\r\nis a stochastic process that models a random perturbation of the geodesic flow.\r\nIf $M$ is a orientable compact constant negatively curved surface, we show that\r\nin the limit of infinitely large perturbation the $L^2$-spectrum of the\r\ninfinitesimal generator of a time rescaled version of the process converges to\r\nthe Laplace spectrum of the base manifold. In addition, we give explicit error\r\nestimates for the convergence to equilibrium. The proofs are based on\r\nnoncommutative harmonic analysis of $SL_2(\\mathbb{R})$."}],"language":[{"iso":"eng"}],"citation":{"ieee":"M. Kolb, T. Weich, and L. L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces,” arXiv:1909.06183. 2019.","short":"M. Kolb, T. Weich, L.L. Wolf, ArXiv:1909.06183 (2019).","bibtex":"@article{Kolb_Weich_Wolf_2019, title={Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces}, journal={arXiv:1909.06183}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}, year={2019} }","mla":"Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces.” ArXiv:1909.06183, 2019.","chicago":"Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces.” ArXiv:1909.06183, 2019.","ama":"Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces. arXiv:190906183. Published online 2019.","apa":"Kolb, M., Weich, T., & Wolf, L. L. (2019). Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces. In arXiv:1909.06183."},"year":"2019","type":"preprint","date_updated":"2022-05-24T13:06:58Z","_id":"31191"},{"_id":"8482","date_updated":"2022-09-06T07:12:41Z","citation":{"short":"B. Jurgelucks, V. Schulze, N. Feldmann, L. Claes, Arbitrary Sensitivity for Inverse Problems in Piezoelectricity, GAMM Annual Meeting, Wien, 2019.","ieee":"B. Jurgelucks, V. Schulze, N. Feldmann, and L. Claes, Arbitrary sensitivity for inverse problems in piezoelectricity. GAMM Annual Meeting, Wien, 2019.","apa":"Jurgelucks, B., Schulze, V., Feldmann, N., & Claes, L. (2019). Arbitrary sensitivity for inverse problems in piezoelectricity.","ama":"Jurgelucks B, Schulze V, Feldmann N, Claes L. Arbitrary Sensitivity for Inverse Problems in Piezoelectricity.; 2019.","chicago":"Jurgelucks, Benjamin, Veronika Schulze, Nadine Feldmann, and Leander Claes. Arbitrary Sensitivity for Inverse Problems in Piezoelectricity. GAMM Annual Meeting, Wien, 2019.","mla":"Jurgelucks, Benjamin, et al. Arbitrary Sensitivity for Inverse Problems in Piezoelectricity. 2019.","bibtex":"@book{Jurgelucks_Schulze_Feldmann_Claes_2019, place={GAMM Annual Meeting, Wien}, title={Arbitrary sensitivity for inverse problems in piezoelectricity}, author={Jurgelucks, Benjamin and Schulze, Veronika and Feldmann, Nadine and Claes, Leander}, year={2019} }"},"year":"2019","type":"misc","language":[{"iso":"eng"}],"place":"GAMM Annual Meeting, Wien","title":"Arbitrary sensitivity for inverse problems in piezoelectricity","user_id":"11829","department":[{"_id":"104"},{"_id":"49"}],"author":[{"first_name":"Benjamin","full_name":"Jurgelucks, Benjamin","last_name":"Jurgelucks"},{"last_name":"Schulze","full_name":"Schulze, Veronika","first_name":"Veronika"},{"last_name":"Feldmann","id":"23082","first_name":"Nadine","full_name":"Feldmann, Nadine"},{"full_name":"Claes, Leander","orcid":"0000-0002-4393-268X","first_name":"Leander","id":"11829","last_name":"Claes"}],"date_created":"2019-03-08T13:20:14Z","project":[{"_id":"90","name":"Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums"},{"name":"NEPTUN: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen","grant_number":"FOR 5208","_id":"108"}],"status":"public"},{"doi":"http://dx.doi.org/10.1007/s00023-019-00772-9","date_updated":"2022-09-12T07:19:02Z","language":[{"iso":"eng"}],"title":"Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems","publication_status":"published","department":[{"_id":"96"}],"issue":"6","_id":"33331","intvolume":" 20","page":"1753-1783","year":"2019","citation":{"chicago":"Kolb, Martin, and Matthias Liesenfeld. “Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems.” Annales Henri Poincaré 20, no. 6 (2019): 1753–83. http://dx.doi.org/10.1007/s00023-019-00772-9.","ama":"Kolb M, Liesenfeld M. Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems. Annales Henri Poincaré. 2019;20(6):1753-1783. doi:http://dx.doi.org/10.1007/s00023-019-00772-9","apa":"Kolb, M., & Liesenfeld, M. (2019). Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems. Annales Henri Poincaré, 20(6), 1753–1783. http://dx.doi.org/10.1007/s00023-019-00772-9","mla":"Kolb, Martin, and Matthias Liesenfeld. “Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems.” Annales Henri Poincaré, vol. 20, no. 6, Institute Henri Poincaré, 2019, pp. 1753–83, doi:http://dx.doi.org/10.1007/s00023-019-00772-9.","bibtex":"@article{Kolb_Liesenfeld_2019, title={Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems}, volume={20}, DOI={http://dx.doi.org/10.1007/s00023-019-00772-9}, number={6}, journal={Annales Henri Poincaré}, publisher={Institute Henri Poincaré}, author={Kolb, Martin and Liesenfeld, Matthias}, year={2019}, pages={1753–1783} }","short":"M. Kolb, M. Liesenfeld, Annales Henri Poincaré 20 (2019) 1753–1783.","ieee":"M. Kolb and M. Liesenfeld, “Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems,” Annales Henri Poincaré, vol. 20, no. 6, pp. 1753–1783, 2019, doi: http://dx.doi.org/10.1007/s00023-019-00772-9."},"type":"journal_article","user_id":"85821","abstract":[{"lang":"eng","text":"Motivated by the recent contribution (Bauer and Bernard in Annales Henri Poincaré 19:653–693, 2018), we study the scaling limit behavior of a class of one-dimensional stochastic differential equations which has a unique attracting point subject to a small additional repulsive perturbation. Problems of this type appear in the analysis of continuously monitored quantum systems. We extend the results of Bauer and Bernard (Annales Henri Poincaré 19:653–693, 2018) and prove a general result concerning the convergence to a homogeneous Poisson process using only classical probabilistic tools."}],"volume":20,"date_created":"2022-09-12T07:18:58Z","status":"public","publication":"Annales Henri Poincaré","author":[{"full_name":"Kolb, Martin","first_name":"Martin","id":"48880","last_name":"Kolb"},{"full_name":"Liesenfeld, Matthias","first_name":"Matthias","last_name":"Liesenfeld"}],"publisher":"Institute Henri Poincaré"},{"year":"2019","citation":{"short":"A.Q. Wang, M. Kolb, G.O. Roberts, D. Steinsaltz, The Annals of Applied Probability 29 (2019).","ieee":"A. Q. Wang, M. Kolb, G. O. Roberts, and D. Steinsaltz, “Theoretical properties of quasi-stationary Monte Carlo methods,” The Annals of Applied Probability, vol. 29, no. 1, 2019, doi: http://dx.doi.org/10.1214/18-AAP1422.","chicago":"Wang, Andi Q., Martin Kolb, Gareth O. Roberts, and David Steinsaltz. “Theoretical Properties of Quasi-Stationary Monte Carlo Methods.” The Annals of Applied Probability 29, no. 1 (2019). http://dx.doi.org/10.1214/18-AAP1422.","ama":"Wang AQ, Kolb M, Roberts GO, Steinsaltz D. Theoretical properties of quasi-stationary Monte Carlo methods. The Annals of Applied Probability. 2019;29(1). doi:http://dx.doi.org/10.1214/18-AAP1422","apa":"Wang, A. Q., Kolb, M., Roberts, G. O., & Steinsaltz, D. (2019). Theoretical properties of quasi-stationary Monte Carlo methods. The Annals of Applied Probability, 29(1). http://dx.doi.org/10.1214/18-AAP1422","bibtex":"@article{Wang_Kolb_Roberts_Steinsaltz_2019, title={Theoretical properties of quasi-stationary Monte Carlo methods}, volume={29}, DOI={http://dx.doi.org/10.1214/18-AAP1422}, number={1}, journal={The Annals of Applied Probability}, author={Wang, Andi Q. and Kolb, Martin and Roberts, Gareth O. and Steinsaltz, David}, year={2019} }","mla":"Wang, Andi Q., et al. “Theoretical Properties of Quasi-Stationary Monte Carlo Methods.” The Annals of Applied Probability, vol. 29, no. 1, 2019, doi:http://dx.doi.org/10.1214/18-AAP1422."},"type":"journal_article","language":[{"iso":"eng"}],"doi":"http://dx.doi.org/10.1214/18-AAP1422","issue":"1","_id":"33333","intvolume":" 29","date_updated":"2022-09-12T07:32:35Z","volume":29,"date_created":"2022-09-12T07:24:52Z","status":"public","publication":"The Annals of Applied Probability","department":[{"_id":"96"}],"author":[{"last_name":"Wang","full_name":"Wang, Andi Q.","first_name":"Andi Q."},{"first_name":"Martin","full_name":"Kolb, Martin","last_name":"Kolb","id":"48880"},{"last_name":"Roberts","full_name":"Roberts, Gareth O.","first_name":"Gareth O."},{"last_name":"Steinsaltz","first_name":"David","full_name":"Steinsaltz, David"}],"title":"Theoretical properties of quasi-stationary Monte Carlo methods","user_id":"85821"},{"year":"2019","citation":{"mla":"Hening, Alexandru, and Martin Kolb. “Quasistationary Distributions for One-Dimensional Diffusions with Two Singular Boundary Points.” Stochastic Processes and Their Applications, vol. 129, no. 5, Bernoulli Society for Mathematical Statistics and Probability, 2019, pp. 1659–96, doi:http://dx.doi.org/10.1016/j.spa.2018.05.012.","bibtex":"@article{Hening_Kolb_2019, title={Quasistationary distributions for one-dimensional diffusions with two singular boundary points}, volume={129}, DOI={http://dx.doi.org/10.1016/j.spa.2018.05.012}, number={5}, journal={Stochastic Processes and their Applications}, publisher={Bernoulli Society for Mathematical Statistics and Probability}, author={Hening, Alexandru and Kolb, Martin}, year={2019}, pages={1659–1696} }","apa":"Hening, A., & Kolb, M. (2019). Quasistationary distributions for one-dimensional diffusions with two singular boundary points. Stochastic Processes and Their Applications, 129(5), 1659–1696. http://dx.doi.org/10.1016/j.spa.2018.05.012","ama":"Hening A, Kolb M. Quasistationary distributions for one-dimensional diffusions with two singular boundary points. Stochastic Processes and their Applications. 2019;129(5):1659-1696. doi:http://dx.doi.org/10.1016/j.spa.2018.05.012","chicago":"Hening, Alexandru, and Martin Kolb. “Quasistationary Distributions for One-Dimensional Diffusions with Two Singular Boundary Points.” Stochastic Processes and Their Applications 129, no. 5 (2019): 1659–96. http://dx.doi.org/10.1016/j.spa.2018.05.012.","ieee":"A. Hening and M. Kolb, “Quasistationary distributions for one-dimensional diffusions with two singular boundary points,” Stochastic Processes and their Applications, vol. 129, no. 5, pp. 1659–1696, 2019, doi: http://dx.doi.org/10.1016/j.spa.2018.05.012.","short":"A. Hening, M. Kolb, Stochastic Processes and Their Applications 129 (2019) 1659–1696."},"type":"journal_article","page":"1659-1696","intvolume":" 129","_id":"33334","issue":"5","publisher":"Bernoulli Society for Mathematical Statistics and Probability","author":[{"first_name":"Alexandru","full_name":"Hening, Alexandru","last_name":"Hening"},{"last_name":"Kolb","first_name":"Martin","full_name":"Kolb, Martin"}],"publication":"Stochastic Processes and their Applications","volume":129,"status":"public","date_created":"2022-09-12T07:46:44Z","abstract":[{"lang":"eng","text":"In the present work we characterize the existence of quasistationary distributions for diffusions on (0,∞) allowing singular behavior at 0 and ∞. If absorption at 0 is certain, we show that there exists a quasistationary distribution as soon as the spectrum of the generator is strictly positive. This complements results of Collet et al. and Kolb/Steinsaltz for 0 being a regular boundary point and extends results by Collet et al. on singular diffusions. We also study the existence and uniqueness of quasistationary distributions for a class of one-dimensional diffusions with killing that arise from a biological example and which have two inaccessible boundary points (more specifically 0 is natural and ∞ is entrance)."}],"user_id":"85821","language":[{"iso":"eng"}],"date_updated":"2022-09-12T07:46:47Z","doi":"http://dx.doi.org/10.1016/j.spa.2018.05.012","department":[{"_id":"96"}],"publication_status":"published","title":"Quasistationary distributions for one-dimensional diffusions with two singular boundary points"},{"intvolume":" 31","_id":"34829","issue":"5","page":"1139-1177","citation":{"chicago":"Hanusch, Maximilian. “Differentiability of the Evolution Map and Mackey Continuity.” Forum Mathematicum 31, no. 5 (2019): 1139–77. https://doi.org/10.1515/forum-2018-0310.","apa":"Hanusch, M. (2019). Differentiability of the evolution map and Mackey continuity. Forum Mathematicum, 31(5), 1139–1177. https://doi.org/10.1515/forum-2018-0310","ama":"Hanusch M. Differentiability of the evolution map and Mackey continuity. Forum Mathematicum. 2019;31(5):1139-1177. doi:10.1515/forum-2018-0310","mla":"Hanusch, Maximilian. “Differentiability of the Evolution Map and Mackey Continuity.” Forum Mathematicum, vol. 31, no. 5, Walter de Gruyter GmbH, 2019, pp. 1139–77, doi:10.1515/forum-2018-0310.","bibtex":"@article{Hanusch_2019, title={Differentiability of the evolution map and Mackey continuity}, volume={31}, DOI={10.1515/forum-2018-0310}, number={5}, journal={Forum Mathematicum}, publisher={Walter de Gruyter GmbH}, author={Hanusch, Maximilian}, year={2019}, pages={1139–1177} }","short":"M. Hanusch, Forum Mathematicum 31 (2019) 1139–1177.","ieee":"M. Hanusch, “Differentiability of the evolution map and Mackey continuity,” Forum Mathematicum, vol. 31, no. 5, pp. 1139–1177, 2019, doi: 10.1515/forum-2018-0310."},"year":"2019","type":"journal_article","article_type":"original","user_id":"30905","keyword":["regularity of Lie groups","differentiability of the evolution map"],"publication":"Forum Mathematicum","author":[{"last_name":"Hanusch","id":"30905","first_name":"Maximilian","full_name":"Hanusch, Maximilian"}],"publisher":"Walter de Gruyter GmbH","date_created":"2022-12-22T09:38:08Z","status":"public","volume":31,"date_updated":"2023-01-09T18:07:13Z","doi":"10.1515/forum-2018-0310","language":[{"iso":"eng"}],"title":"Differentiability of the evolution map and Mackey continuity","department":[{"_id":"93"}],"project":[{"name":"RegLie: Regularität von Lie-Gruppen und Lie's Dritter Satz (RegLie)","_id":"161"}],"publication_identifier":{"issn":["1435-5337","0933-7741"]},"publication_status":"published"},{"publication":"Proceedings of {CERME} 11","department":[{"_id":"10"},{"_id":"423"}],"author":[{"last_name":"Kuklinski","first_name":"Christiane","full_name":"Kuklinski, Christiane"},{"first_name":"Michael","orcid":"0000-0001-9887-2074","full_name":"Liebendörfer, Michael","last_name":"Liebendörfer","id":"30933"},{"last_name":"Hochmuth","full_name":"Hochmuth, Reinhard","first_name":"Reinhard"},{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"},{"first_name":"Niclas","full_name":"Schaper, Niclas","last_name":"Schaper"},{"full_name":"Lankeit, Elisa","first_name":"Elisa","last_name":"Lankeit"},{"first_name":"Elena","full_name":"Leis, Elena","last_name":"Leis"},{"first_name":"Mirko","orcid":"0000-0003-2646-085X","full_name":"Schürmann, Mirko","last_name":"Schürmann","id":"59707"}],"date_created":"2020-05-16T07:32:47Z","status":"public","place":"Utrecht","user_id":"14931","title":"Features of innovative lectures that distinguish them from traditional lectures and their evaluation by attending students","language":[{"iso":"eng"}],"citation":{"chicago":"Kuklinski, Christiane, Michael Liebendörfer, Reinhard Hochmuth, Rolf Biehler, Niclas Schaper, Elisa Lankeit, Elena Leis, and Mirko Schürmann. “Features of Innovative Lectures That Distinguish Them from Traditional Lectures and Their Evaluation by Attending Students.” In Proceedings of {CERME} 11. Utrecht, 2019.","apa":"Kuklinski, C., Liebendörfer, M., Hochmuth, R., Biehler, R., Schaper, N., Lankeit, E., Leis, E., & Schürmann, M. (2019). Features of innovative lectures that distinguish them from traditional lectures and their evaluation by attending students. In Proceedings of {CERME} 11.","ama":"Kuklinski C, Liebendörfer M, Hochmuth R, et al. Features of innovative lectures that distinguish them from traditional lectures and their evaluation by attending students. In: Proceedings of {CERME} 11. ; 2019.","mla":"Kuklinski, Christiane, et al. “Features of Innovative Lectures That Distinguish Them from Traditional Lectures and Their Evaluation by Attending Students.” Proceedings of {CERME} 11, 2019.","bibtex":"@inbook{Kuklinski_Liebendörfer_Hochmuth_Biehler_Schaper_Lankeit_Leis_Schürmann_2019, place={Utrecht}, title={Features of innovative lectures that distinguish them from traditional lectures and their evaluation by attending students}, booktitle={Proceedings of {CERME} 11}, author={Kuklinski, Christiane and Liebendörfer, Michael and Hochmuth, Reinhard and Biehler, Rolf and Schaper, Niclas and Lankeit, Elisa and Leis, Elena and Schürmann, Mirko}, year={2019} }","short":"C. Kuklinski, M. Liebendörfer, R. Hochmuth, R. Biehler, N. Schaper, E. Lankeit, E. Leis, M. Schürmann, in: Proceedings of {CERME} 11, Utrecht, 2019.","ieee":"C. Kuklinski et al., “Features of innovative lectures that distinguish them from traditional lectures and their evaluation by attending students,” in Proceedings of {CERME} 11, Utrecht, 2019."},"year":"2019","type":"book_chapter","_id":"16966","date_updated":"2023-01-17T23:42:49Z"},{"date_updated":"2023-03-02T09:10:59Z","_id":"42646","type":"preprint","citation":{"mla":"Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Quadratic Subfields of Number Fields.” ArXiv:1907.13383, 2019.","bibtex":"@article{Elsenhans_Klüners_2019, title={Computing quadratic subfields of number fields}, journal={arXiv:1907.13383}, author={Elsenhans, Andreas-Stephan and Klüners, Jürgen}, year={2019} }","apa":"Elsenhans, A.-S., & Klüners, J. (2019). Computing quadratic subfields of number fields. In arXiv:1907.13383.","ama":"Elsenhans A-S, Klüners J. Computing quadratic subfields of number fields. arXiv:190713383. Published online 2019.","chicago":"Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Quadratic Subfields of Number Fields.” ArXiv:1907.13383, 2019.","ieee":"A.-S. Elsenhans and J. Klüners, “Computing quadratic subfields of number fields,” arXiv:1907.13383. 2019.","short":"A.-S. Elsenhans, J. Klüners, ArXiv:1907.13383 (2019)."},"year":"2019","language":[{"iso":"eng"}],"title":"Computing quadratic subfields of number fields","user_id":"93826","abstract":[{"lang":"eng","text":"Given a number field, it is an important question in algorithmic number\r\ntheory to determine all its subfields. If the search is restricted to abelian\r\nsubfields, one can try to determine them by using class field theory. For this,\r\nit is necessary to know the ramified primes. We show that the ramified primes\r\nof the subfield can be computed efficiently. Using this information we give\r\nalgorithms to determine all the quadratic and the cyclic cubic subfields of the\r\ninitial field. The approach generalises to cyclic subfields of prime degree. In\r\nthe case of quadratic subfields, our approach is much faster than other\r\nmethods."}],"external_id":{"arxiv":["1907.13383"]},"status":"public","date_created":"2023-03-02T09:03:18Z","author":[{"last_name":"Elsenhans","first_name":"Andreas-Stephan","full_name":"Elsenhans, Andreas-Stephan"},{"full_name":"Klüners, Jürgen","first_name":"Jürgen","id":"21202","last_name":"Klüners"}],"publication":"arXiv:1907.13383","department":[{"_id":"102"}]},{"doi":"10.1007/s00013-019-01348-z","date_updated":"2023-04-04T09:05:04Z","language":[{"iso":"eng"}],"title":"Determinant groups of Hermitian lattices over local fields","publication_identifier":{"issn":["0003-889X","1420-8938"]},"publication_status":"published","department":[{"_id":"102"}],"issue":"4","intvolume":" 113","_id":"34915","page":"337-347","citation":{"ieee":"M. Kirschmer, “Determinant groups of Hermitian lattices over local fields,” Archiv der Mathematik, vol. 113, no. 4, pp. 337–347, 2019, doi: 10.1007/s00013-019-01348-z.","short":"M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.","bibtex":"@article{Kirschmer_2019, title={Determinant groups of Hermitian lattices over local fields}, volume={113}, DOI={10.1007/s00013-019-01348-z}, number={4}, journal={Archiv der Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kirschmer, Markus}, year={2019}, pages={337–347} }","mla":"Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” Archiv Der Mathematik, vol. 113, no. 4, Springer Science and Business Media LLC, 2019, pp. 337–47, doi:10.1007/s00013-019-01348-z.","chicago":"Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” Archiv Der Mathematik 113, no. 4 (2019): 337–47. https://doi.org/10.1007/s00013-019-01348-z.","apa":"Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields. Archiv Der Mathematik, 113(4), 337–347. https://doi.org/10.1007/s00013-019-01348-z","ama":"Kirschmer M. Determinant groups of Hermitian lattices over local fields. Archiv der Mathematik. 2019;113(4):337-347. doi:10.1007/s00013-019-01348-z"},"type":"journal_article","year":"2019","user_id":"93826","abstract":[{"lang":"eng","text":"We describe the determinants of the automorphism groups of Hermitian lattices over local fields. Using a result of G. Shimura, this yields an explicit method to compute the special genera in a given genus of Hermitian lattices over a number field."}],"volume":113,"date_created":"2022-12-23T11:03:41Z","status":"public","publication":"Archiv der Mathematik","keyword":["General Mathematics"],"publisher":"Springer Science and Business Media LLC","author":[{"last_name":"Kirschmer","id":"82258","first_name":"Markus","full_name":"Kirschmer, Markus"}]},{"_id":"45387","date_updated":"2023-05-31T07:45:36Z","language":[{"iso":"ger"}],"year":"2019","type":"book","citation":{"mla":"Dröse, Jennifer. Textaufgaben lesen und verstehen lernen – Entwicklungsforschungsstudie zur mathematikspezifischen Leseverständnisförderung. Springer Spektrum, 2019.","bibtex":"@book{Dröse_2019, place={Heidelberg}, title={Textaufgaben lesen und verstehen lernen – Entwicklungsforschungsstudie zur mathematikspezifischen Leseverständnisförderung}, publisher={Springer Spektrum}, author={Dröse, Jennifer}, year={2019} }","chicago":"Dröse, Jennifer. Textaufgaben lesen und verstehen lernen – Entwicklungsforschungsstudie zur mathematikspezifischen Leseverständnisförderung. Heidelberg: Springer Spektrum, 2019.","ama":"Dröse J. Textaufgaben lesen und verstehen lernen – Entwicklungsforschungsstudie zur mathematikspezifischen Leseverständnisförderung. Springer Spektrum; 2019.","apa":"Dröse, J. (2019). Textaufgaben lesen und verstehen lernen – Entwicklungsforschungsstudie zur mathematikspezifischen Leseverständnisförderung. Springer Spektrum.","ieee":"J. Dröse, Textaufgaben lesen und verstehen lernen – Entwicklungsforschungsstudie zur mathematikspezifischen Leseverständnisförderung. Heidelberg: Springer Spektrum, 2019.","short":"J. Dröse, Textaufgaben lesen und verstehen lernen – Entwicklungsforschungsstudie zur mathematikspezifischen Leseverständnisförderung, Springer Spektrum, Heidelberg, 2019."},"place":"Heidelberg","extern":"1","user_id":"21240","title":"Textaufgaben lesen und verstehen lernen – Entwicklungsforschungsstudie zur mathematikspezifischen Leseverständnisförderung","author":[{"id":"85820","last_name":"Dröse","full_name":"Dröse, Jennifer","first_name":"Jennifer"}],"publisher":"Springer Spektrum","department":[{"_id":"98"}],"status":"public","date_created":"2023-05-31T07:45:22Z"},{"_id":"45390","date_updated":"2023-05-31T08:03:38Z","citation":{"bibtex":"@inbook{Dröse_Prediger_2019, place={Berlin}, title={Scaffolding für fachbezogene textsortenspezifische Lesestrategien – Entwicklungsforschungsstudie zur Förderung des Umgangs mit Textaufgaben}, booktitle={Fachunterricht, Sprachbildung und Sprachkompetenzen }, publisher={de Gruyter}, author={Dröse, Jennifer and Prediger, Susanne}, editor={Ahrenholz, B. and Jeuk, S. and Lütke, B. and Paetsch, J. and Roll, H.}, year={2019}, pages={107–134} }","mla":"Dröse, Jennifer, and Susanne Prediger. “Scaffolding für fachbezogene textsortenspezifische Lesestrategien – Entwicklungsforschungsstudie zur Förderung des Umgangs mit Textaufgaben.” Fachunterricht, Sprachbildung und Sprachkompetenzen , edited by B. Ahrenholz et al., de Gruyter, 2019, pp. 107–34.","chicago":"Dröse, Jennifer, and Susanne Prediger. “Scaffolding für fachbezogene textsortenspezifische Lesestrategien – Entwicklungsforschungsstudie zur Förderung des Umgangs mit Textaufgaben.” In Fachunterricht, Sprachbildung und Sprachkompetenzen , edited by B. Ahrenholz, S. Jeuk, B. Lütke, J. Paetsch, and H. Roll, 107–34. Berlin: de Gruyter, 2019.","apa":"Dröse, J., & Prediger, S. (2019). Scaffolding für fachbezogene textsortenspezifische Lesestrategien – Entwicklungsforschungsstudie zur Förderung des Umgangs mit Textaufgaben. In B. Ahrenholz, S. Jeuk, B. Lütke, J. Paetsch, & H. Roll (Eds.), Fachunterricht, Sprachbildung und Sprachkompetenzen (pp. 107–134). de Gruyter.","ama":"Dröse J, Prediger S. Scaffolding für fachbezogene textsortenspezifische Lesestrategien – Entwicklungsforschungsstudie zur Förderung des Umgangs mit Textaufgaben. In: Ahrenholz B, Jeuk S, Lütke B, Paetsch J, Roll H, eds. Fachunterricht, Sprachbildung und Sprachkompetenzen . de Gruyter; 2019:107-134.","ieee":"J. Dröse and S. Prediger, “Scaffolding für fachbezogene textsortenspezifische Lesestrategien – Entwicklungsforschungsstudie zur Förderung des Umgangs mit Textaufgaben,” in Fachunterricht, Sprachbildung und Sprachkompetenzen , B. Ahrenholz, S. Jeuk, B. Lütke, J. Paetsch, and H. Roll, Eds. Berlin: de Gruyter, 2019, pp. 107–134.","short":"J. Dröse, S. Prediger, in: B. Ahrenholz, S. Jeuk, B. Lütke, J. Paetsch, H. 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Eichen. “Frühe mathematische Bildung im elementarpädagogischen Alltag.” KiTa aktuell Österreich, vol. 7, no. 5, 2019, pp. 85–86.","bibtex":"@article{Bruns_Eichen_2019, title={Frühe mathematische Bildung im elementarpädagogischen Alltag}, volume={7}, number={5}, journal={KiTa aktuell Österreich}, author={Bruns, Julia and Eichen, L.}, year={2019}, pages={85–86} }","ama":"Bruns J, Eichen L. Frühe mathematische Bildung im elementarpädagogischen Alltag. KiTa aktuell Österreich. 2019;7(5):85-86.","apa":"Bruns, J., & Eichen, L. (2019). Frühe mathematische Bildung im elementarpädagogischen Alltag. KiTa aktuell Österreich, 7(5), 85–86.","chicago":"Bruns, Julia, and L. Eichen. “Frühe mathematische Bildung im elementarpädagogischen Alltag.” KiTa aktuell Österreich 7, no. 5 (2019): 85–86.","ieee":"J. Bruns and L. Eichen, “Frühe mathematische Bildung im elementarpädagogischen Alltag,” KiTa aktuell Österreich, vol. 7, no. 5, pp. 85–86, 2019.","short":"J. Bruns, L. Eichen, KiTa aktuell Österreich 7 (2019) 85–86."},"type":"journal_article","year":"2019","issue":"5","_id":"45689","intvolume":" 7","date_updated":"2023-06-20T18:51:53Z"},{"publication":"Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education","author":[{"orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia","first_name":"Julia","id":"72183","last_name":"Bruns"},{"last_name":"Gasteiger","first_name":"Hedwig","full_name":"Gasteiger, Hedwig"}],"quality_controlled":"1","date_created":"2023-01-13T08:51:58Z","status":"public","volume":2,"user_id":"49063","main_file_link":[{"url":"https://www.igpme.org/publications/current-proceedings/","open_access":"1"}],"page":"129-136","citation":{"ama":"Bruns J, Gasteiger H. VimaS_num: Measuring situational perception in mathematics of early childhood teachers. In: Graven M, Venkat H, Essien A, Vale P, eds. Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education. Vol 2. ; 2019:129-136.","apa":"Bruns, J., & Gasteiger, H. (2019). VimaS_num: Measuring situational perception in mathematics of early childhood teachers. In M. Graven, H. Venkat, A. Essien, & P. Vale (Eds.), Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 129–136).","chicago":"Bruns, Julia, and Hedwig Gasteiger. “VimaS_num: Measuring Situational Perception in Mathematics of Early Childhood Teachers.” In Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, edited by Mellony Graven, Hamsa Venkat, Anthony Essien, and Pamela Vale, 2:129–36, 2019.","mla":"Bruns, Julia, and Hedwig Gasteiger. “VimaS_num: Measuring Situational Perception in Mathematics of Early Childhood Teachers.” Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, edited by Mellony Graven et al., vol. 2, 2019, pp. 129–36.","bibtex":"@inproceedings{Bruns_Gasteiger_2019, title={VimaS_num: Measuring situational perception in mathematics of early childhood teachers}, volume={2}, booktitle={Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education}, author={Bruns, Julia and Gasteiger, Hedwig}, editor={Graven, Mellony and Venkat, Hamsa and Essien, Anthony and Vale, Pamela}, year={2019}, pages={129–136} }","short":"J. 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Gasteiger, “VimaS_num: Measuring situational perception in mathematics of early childhood teachers,” in Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, Pretoria, South Africa, 2019, vol. 2, pp. 129–136."},"type":"conference","year":"2019","conference":{"location":"Pretoria, South Africa","name":"43rd Conference of the International Group for the Psychology of Mathematics Education"},"intvolume":" 2","_id":"36529","department":[{"_id":"611"},{"_id":"97"}],"publication_status":"published","editor":[{"last_name":"Graven","full_name":"Graven, Mellony","first_name":"Mellony"},{"last_name":"Venkat","full_name":"Venkat, Hamsa","first_name":"Hamsa"},{"last_name":"Essien","full_name":"Essien, Anthony","first_name":"Anthony"},{"last_name":"Vale","full_name":"Vale, Pamela","first_name":"Pamela"}],"title":"VimaS_num: Measuring situational perception in mathematics of early childhood teachers","language":[{"iso":"eng"}],"date_updated":"2023-06-20T19:05:48Z","oa":"1"},{"publication_status":"published","publication_identifier":{"issn":["1863-9690","1863-9704"]},"volume":52,"status":"public","date_created":"2021-03-17T15:19:51Z","quality_controlled":"1","author":[{"first_name":"Hedwig","full_name":"Gasteiger, Hedwig","last_name":"Gasteiger"},{"full_name":"Bruns, Julia","orcid":"https://orcid.org/0000-0002-6604-5864","first_name":"Julia","id":"72183","last_name":"Bruns"},{"first_name":"Christiane","full_name":"Benz, Christiane","last_name":"Benz"},{"first_name":"Esther","full_name":"Brunner, Esther","last_name":"Brunner"},{"first_name":"Priska","full_name":"Sprenger, Priska","last_name":"Sprenger"}],"publication":"ZDM","department":[{"_id":"97"},{"_id":"611"}],"title":"Mathematical pedagogical content knowledge of early childhood teachers: a standardized situation-related measurement approach","user_id":"49063","year":"2019","type":"journal_article","citation":{"chicago":"Gasteiger, Hedwig, Julia Bruns, Christiane Benz, Esther Brunner, and Priska Sprenger. “Mathematical Pedagogical Content Knowledge of Early Childhood Teachers: A Standardized Situation-Related Measurement Approach.” ZDM 52 (2019): 193–205. https://doi.org/10.1007/s11858-019-01103-2.","apa":"Gasteiger, H., Bruns, J., Benz, C., Brunner, E., & Sprenger, P. 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Sprenger, “Mathematical pedagogical content knowledge of early childhood teachers: a standardized situation-related measurement approach,” ZDM, vol. 52, pp. 193–205, 2019, doi: 10.1007/s11858-019-01103-2."},"page":"193-205","language":[{"iso":"eng"}],"doi":"10.1007/s11858-019-01103-2","date_updated":"2023-06-20T19:11:34Z","_id":"21531","intvolume":" 52"},{"date_updated":"2023-06-20T19:14:14Z","oa":"1","doi":"10.17877/DE290R-20771","language":[{"iso":"ger"}],"place":" Münster","title":"Mathematikdidaktischen Wissen von frühpädagogischen Fachkräften aus kognitiv-situationsbezogener Perspektive – Theoretisches Konstrukt und empirische Erfassung","department":[{"_id":"611"},{"_id":"97"}],"editor":[{"last_name":"Frank","first_name":"Andreas","full_name":"Frank, Andreas"},{"full_name":"Krauss, Stefan","first_name":"Stefan","last_name":"Krauss"},{"first_name":"Karin","full_name":"Binder, Karin","last_name":"Binder"}],"publication_status":"published","_id":"36542","conference":{"location":"Regensburg","name":"53. Jahrestagung der Gesellschaft für Didaktik der Mathematik"},"main_file_link":[{"open_access":"1","url":"https://eldorado.tu-dortmund.de/bitstream/2003/38852/1/BzMU19_BRUNS.pdf"}],"year":"2019","citation":{"ieee":"J. Bruns and H. Gasteiger, “Mathematikdidaktischen Wissen von frühpädagogischen Fachkräften aus kognitiv-situationsbezogener Perspektive – Theoretisches Konstrukt und empirische Erfassung,” in Beiträge zum Mathematikunterricht 2019, Regensburg, 2019, pp. 169–172, doi: 10.17877/DE290R-20771.","bibtex":"@inproceedings{Bruns_Gasteiger_2019, place={ Münster}, title={Mathematikdidaktischen Wissen von frühpädagogischen Fachkräften aus kognitiv-situationsbezogener Perspektive – Theoretisches Konstrukt und empirische Erfassung}, DOI={10.17877/DE290R-20771}, booktitle={Beiträge zum Mathematikunterricht 2019}, publisher={WTM-Verlag}, author={Bruns, Julia and Gasteiger, Hedwig}, editor={Frank, Andreas and Krauss, Stefan and Binder, Karin}, year={2019}, pages={169–172} }","mla":"Bruns, Julia, and Hedwig Gasteiger. “Mathematikdidaktischen Wissen von frühpädagogischen Fachkräften aus kognitiv-situationsbezogener Perspektive – Theoretisches Konstrukt und empirische Erfassung.” Beiträge zum Mathematikunterricht 2019, edited by Andreas Frank et al., WTM-Verlag, 2019, pp. 169–72, doi:10.17877/DE290R-20771.","short":"J. Bruns, H. Gasteiger, in: A. Frank, S. Krauss, K. Binder (Eds.), Beiträge zum Mathematikunterricht 2019, WTM-Verlag, Münster, 2019, pp. 169–172.","apa":"Bruns, J., & Gasteiger, H. (2019). Mathematikdidaktischen Wissen von frühpädagogischen Fachkräften aus kognitiv-situationsbezogener Perspektive – Theoretisches Konstrukt und empirische Erfassung. In A. Frank, S. Krauss, & K. Binder (Eds.), Beiträge zum Mathematikunterricht 2019 (pp. 169–172). WTM-Verlag. https://doi.org/10.17877/DE290R-20771","ama":"Bruns J, Gasteiger H. Mathematikdidaktischen Wissen von frühpädagogischen Fachkräften aus kognitiv-situationsbezogener Perspektive – Theoretisches Konstrukt und empirische Erfassung. In: Frank A, Krauss S, Binder K, eds. Beiträge zum Mathematikunterricht 2019. WTM-Verlag; 2019:169-172. doi:10.17877/DE290R-20771","chicago":"Bruns, Julia, and Hedwig Gasteiger. “Mathematikdidaktischen Wissen von frühpädagogischen Fachkräften aus kognitiv-situationsbezogener Perspektive – Theoretisches Konstrukt und empirische Erfassung.” In Beiträge zum Mathematikunterricht 2019, edited by Andreas Frank, Stefan Krauss, and Karin Binder, 169–72. Münster: WTM-Verlag, 2019. https://doi.org/10.17877/DE290R-20771."},"type":"conference","page":"169-172","user_id":"49063","author":[{"id":"72183","last_name":"Bruns","orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia","first_name":"Julia"},{"full_name":"Gasteiger, Hedwig","first_name":"Hedwig","last_name":"Gasteiger"}],"publisher":"WTM-Verlag","publication":"Beiträge zum Mathematikunterricht 2019","status":"public","date_created":"2023-01-13T09:14:30Z"},{"publication_status":"published","alternative_title":["(Studien zur theoretischen und empirischen Forschung in der Mathematikdidaktik)"],"date_created":"2023-05-29T17:17:11Z","status":"public","department":[{"_id":"97"}],"publisher":"Springer Spektrum","author":[{"last_name":"Schönherr","id":"99409","first_name":"Johanna","full_name":"Schönherr, Johanna"}],"title":"Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]","user_id":"49063","extern":"1","place":"Wiesbaden","year":"2019","type":"book","citation":{"ieee":"J. Schönherr, Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]. Wiesbaden: Springer Spektrum, 2019.","short":"J. Schönherr, Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study], Springer Spektrum, Wiesbaden, 2019.","bibtex":"@book{Schönherr_2019, place={Wiesbaden}, title={Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]}, publisher={Springer Spektrum}, author={Schönherr, Johanna}, year={2019} }","mla":"Schönherr, Johanna. Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]. Springer Spektrum, 2019.","apa":"Schönherr, J. (2019). Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]. Springer Spektrum.","ama":"Schönherr J. Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]. Springer Spektrum; 2019.","chicago":"Schönherr, Johanna. Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]. Wiesbaden: Springer Spektrum, 2019."},"language":[{"iso":"ger"}],"_id":"45331","date_updated":"2023-06-20T19:29:45Z"},{"keyword":["Education","General Mathematics"],"publication":"Mathematics Education Research Journal","publisher":"Springer Science and Business Media LLC","author":[{"id":"85190","last_name":"Wessel","full_name":"Wessel, Lena","first_name":"Lena"}],"volume":32,"date_created":"2023-07-26T10:03:33Z","status":"public","abstract":[{"text":"AbstractAlthough the teaching of vocabulary in mathematics lessons is requested in content- and language-integrated lesson designs, the clarification of the specific lexical language demands is still an open question for many mathematical topics. In a content- and language-integrated lesson design towards understanding the concept of equivalent fractions, the vocabulary (words and phrases) used by 17 students has been analyzed with qualitative means of data analysis. The qualitative in-depth analyses underline the importance of meaning-related vocabulary for making structural relations between the fractions in view explicit. Quantitative analyses of inventoried vocabulary for the four categories “self-initiated by students,” “triggered by teaching material,” “triggered by teacher,” or “triggered by peers” show the relations of collective and autonomous vocabularies from which the students retrieve their lexical means in oral and written language production.","lang":"eng"}],"user_id":"37888","page":"653-681","type":"journal_article","citation":{"mla":"Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of Lexical Trace Analyses.” Mathematics Education Research Journal, vol. 32, no. 4, Springer Science and Business Media LLC, 2019, pp. 653–81, doi:10.1007/s13394-019-00284-z.","bibtex":"@article{Wessel_2019, title={Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses}, volume={32}, DOI={10.1007/s13394-019-00284-z}, number={4}, journal={Mathematics Education Research Journal}, publisher={Springer Science and Business Media LLC}, author={Wessel, Lena}, year={2019}, pages={653–681} }","ama":"Wessel L. Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses. Mathematics Education Research Journal. 2019;32(4):653-681. doi:10.1007/s13394-019-00284-z","apa":"Wessel, L. (2019). Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses. Mathematics Education Research Journal, 32(4), 653–681. https://doi.org/10.1007/s13394-019-00284-z","chicago":"Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of Lexical Trace Analyses.” Mathematics Education Research Journal 32, no. 4 (2019): 653–81. https://doi.org/10.1007/s13394-019-00284-z.","ieee":"L. Wessel, “Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses,” Mathematics Education Research Journal, vol. 32, no. 4, pp. 653–681, 2019, doi: 10.1007/s13394-019-00284-z.","short":"L. Wessel, Mathematics Education Research Journal 32 (2019) 653–681."},"year":"2019","_id":"46156","intvolume":" 32","issue":"4","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"publication_status":"published","publication_identifier":{"issn":["1033-2170","2211-050X"]},"title":"Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses","language":[{"iso":"eng"}],"date_updated":"2023-07-26T10:05:34Z","doi":"10.1007/s13394-019-00284-z"},{"date_updated":"2023-09-26T11:45:02Z","doi":"10.4208/cicp.OA-2018-0053","language":[{"iso":"eng"}],"external_id":{"arxiv":["1703.02456"]},"title":"A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices","department":[{"_id":"27"},{"_id":"518"},{"_id":"304"},{"_id":"104"}],"project":[{"name":"Performance and Efficiency in HPC with Custom Computing","grant_number":"PL 595/2-1 / 320898746","_id":"32"},{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"intvolume":" 25","_id":"21","issue":"2","page":"564-585","type":"journal_article","citation":{"short":"D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in Computational Physics 25 (2019) 564–585.","ieee":"D. Richters, M. Lass, A. Walther, C. Plessl, and T. Kühne, “A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices,” Communications in Computational Physics, vol. 25, no. 2, pp. 564–585, 2019, doi: 10.4208/cicp.OA-2018-0053.","apa":"Richters, D., Lass, M., Walther, A., Plessl, C., & Kühne, T. (2019). A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. Communications in Computational Physics, 25(2), 564–585. https://doi.org/10.4208/cicp.OA-2018-0053","ama":"Richters D, Lass M, Walther A, Plessl C, Kühne T. A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. Communications in Computational Physics. 2019;25(2):564-585. doi:10.4208/cicp.OA-2018-0053","chicago":"Richters, Dorothee, Michael Lass, Andrea Walther, Christian Plessl, and Thomas Kühne. “A General Algorithm to Calculate the Inverse Principal P-Th Root of Symmetric Positive Definite Matrices.” Communications in Computational Physics 25, no. 2 (2019): 564–85. https://doi.org/10.4208/cicp.OA-2018-0053.","mla":"Richters, Dorothee, et al. “A General Algorithm to Calculate the Inverse Principal P-Th Root of Symmetric Positive Definite Matrices.” Communications in Computational Physics, vol. 25, no. 2, Global Science Press, 2019, pp. 564–85, doi:10.4208/cicp.OA-2018-0053.","bibtex":"@article{Richters_Lass_Walther_Plessl_Kühne_2019, title={A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices}, volume={25}, DOI={10.4208/cicp.OA-2018-0053}, number={2}, journal={Communications in Computational Physics}, publisher={Global Science Press}, author={Richters, Dorothee and Lass, Michael and Walther, Andrea and Plessl, Christian and Kühne, Thomas}, year={2019}, pages={564–585} }"},"year":"2019","abstract":[{"lang":"eng","text":"We address the general mathematical problem of computing the inverse p-th\r\nroot of a given matrix in an efficient way. A new method to construct iteration\r\nfunctions that allow calculating arbitrary p-th roots and their inverses of\r\nsymmetric positive definite matrices is presented. We show that the order of\r\nconvergence is at least quadratic and that adaptively adjusting a parameter q\r\nalways leads to an even faster convergence. In this way, a better performance\r\nthan with previously known iteration schemes is achieved. The efficiency of the\r\niterative functions is demonstrated for various matrices with different\r\ndensities, condition numbers and spectral radii."}],"user_id":"15278","publication":"Communications in Computational Physics","quality_controlled":"1","publisher":"Global Science Press","author":[{"last_name":"Richters","first_name":"Dorothee","full_name":"Richters, Dorothee"},{"first_name":"Michael","full_name":"Lass, Michael","orcid":"0000-0002-5708-7632","last_name":"Lass","id":"24135"},{"first_name":"Andrea","full_name":"Walther, Andrea","last_name":"Walther"},{"first_name":"Christian","full_name":"Plessl, Christian","orcid":"0000-0001-5728-9982","last_name":"Plessl","id":"16153"},{"full_name":"Kühne, Thomas","first_name":"Thomas","id":"49079","last_name":"Kühne"}],"date_created":"2017-07-25T14:48:26Z","status":"public","volume":25},{"date_updated":"2023-10-19T09:33:49Z","_id":"48320","type":"book_chapter","year":"2019","citation":{"chicago":"Leuders, Timo, and Lena Wessel. “3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell.” In Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell, edited by J. Kreutz, Timo Leuders, and T. Hellmann, 117–34. Wiesbaden: Springer, 2019.","apa":"Leuders, T., & Wessel, L. (2019). 3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell. In J. Kreutz, T. Leuders, & T. Hellmann (Eds.), Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell (pp. 117–134). Springer.","ama":"Leuders T, Wessel L. 3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell. In: Kreutz J, Leuders T, Hellmann T, eds. Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell. Springer; 2019:117-134.","bibtex":"@inbook{Leuders_Wessel_2019, place={Wiesbaden}, title={3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell}, booktitle={Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell}, publisher={Springer}, author={Leuders, Timo and Wessel, Lena}, editor={Kreutz, J. and Leuders, Timo and Hellmann, T.}, year={2019}, pages={117–134} }","mla":"Leuders, Timo, and Lena Wessel. “3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell.” Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell, edited by J. Kreutz et al., Springer, 2019, pp. 117–34.","short":"T. Leuders, L. Wessel, in: J. Kreutz, T. Leuders, T. Hellmann (Eds.), Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell, Springer, Wiesbaden, 2019, pp. 117–134.","ieee":"T. Leuders and L. Wessel, “3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell,” in Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell, J. Kreutz, T. Leuders, and T. Hellmann, Eds. Wiesbaden: Springer, 2019, pp. 117–134."},"page":"117-134","language":[{"iso":"ger"}],"place":"Wiesbaden","title":"3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell","user_id":"37888","author":[{"first_name":"Timo","full_name":"Leuders, Timo","last_name":"Leuders"},{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"}],"publisher":"Springer","publication":"Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"editor":[{"first_name":"J.","full_name":"Kreutz, J.","last_name":"Kreutz"},{"full_name":"Leuders, Timo","first_name":"Timo","last_name":"Leuders"},{"last_name":"Hellmann","full_name":"Hellmann, T.","first_name":"T."}],"status":"public","date_created":"2023-10-19T09:24:24Z"},{"series_title":"Reihe Schriften zur Hochschuldidaktik Mathematik","language":[{"iso":"ger"}],"date_updated":"2023-10-23T07:53:22Z","doi":"10.37626/ga9783959870986.0","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"publication_identifier":{"isbn":["9783959870986"]},"publication_status":"published","editor":[{"first_name":"Marcel","full_name":"Klinger, Marcel","last_name":"Klinger"},{"last_name":"Schüler-Meyer","first_name":"Alexander","full_name":"Schüler-Meyer, Alexander"},{"first_name":"Lena","full_name":"Wessel, Lena","last_name":"Wessel","id":"85190"}],"place":"Münster","title":"Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018","citation":{"chicago":"Klinger, Marcel, Alexander Schüler-Meyer, and Lena Wessel, eds. Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018. Vol. 6. Reihe Schriften zur Hochschuldidaktik Mathematik. Münster: WTM-Verlag, 2019. https://doi.org/10.37626/ga9783959870986.0.","ama":"Klinger M, Schüler-Meyer A, Wessel L, eds. Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018. Vol 6. WTM-Verlag; 2019. doi:10.37626/ga9783959870986.0","apa":"Klinger, M., Schüler-Meyer, A., & Wessel, L. (Eds.). (2019). Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018 (Vol. 6). WTM-Verlag. https://doi.org/10.37626/ga9783959870986.0","mla":"Klinger, Marcel, et al., editors. Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018. WTM-Verlag, 2019, doi:10.37626/ga9783959870986.0.","bibtex":"@book{Klinger_Schüler-Meyer_Wessel_2019, place={Münster}, series={Reihe Schriften zur Hochschuldidaktik Mathematik}, title={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018}, volume={6}, DOI={10.37626/ga9783959870986.0}, publisher={WTM-Verlag}, year={2019}, collection={Reihe Schriften zur Hochschuldidaktik Mathematik} }","short":"M. Klinger, A. Schüler-Meyer, L. Wessel, eds., Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018, WTM-Verlag, Münster, 2019.","ieee":"M. Klinger, A. Schüler-Meyer, and L. Wessel, Eds., Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018, vol. 6. Münster: WTM-Verlag, 2019."},"type":"book_editor","year":"2019","intvolume":" 6","_id":"48376","publisher":"WTM-Verlag","volume":6,"alternative_title":["Beiträge zum gleichnamigen Symposium am 9. und 10. November 2018 an der Universität Duisburg-Essen"],"date_created":"2023-10-23T07:50:59Z","status":"public","abstract":[{"text":"„Vielfalt, die verbindet“ ist ein Leitmotiv, welches das Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018 in Essen gut beschreibt. Zu diesem kamen Akteure von Fachhochschulen und Universitäten mit fachmathematischer wie fachdidaktischer Perspektive vom 9. bis 10. November zusammen, um die Problematik des Übergangs von Schule zu Hochschule im Kontext mathematischer Studiengänge zu diskutieren. Der vorliegende Band bündelt die vielfältigen Projekte und Forschungsaktivitäten rund um den Übergang Schule–Hochschule und zeigt Innovationen innerhalb der mathematischen Hochschullehre gleichermaßen praxisorientiert wie theoretisch fundiert auf. Neben drei Hauptbeiträgen von Bärbel Barzel, Frode Rønning sowie Nimet Sarikaya und Peter Furlan umfasst der Band weitere 13 Sektionsbeiträge, welche u. a. die nebenstehenden Schwerpunkte fokussieren. • Heranführen von Studierenden an hochschulmathematische Denk- und Arbeitsweisen • Anpassung von Strukturen und Aufgaben für einen konstruktiven Übergang von Schule zu Hochschule • Bewährte Unterstützungsmaßnahmen für ein erfolgreiches Selbstlernen, z. B. in Form von Peer Instruction. • Etablierte Flipped-Classroom- und Blended-Learning-Formate • Messung vielfältiger Fähigkeitsprofile von Studierenden beim Eintritt in die Hochschule • Chancen der Digitalisierung nutzen: Lehren und Lernen mit digitalen Medien, z. B. mithilfe von Lernvideo oder durch dynamische Visualisierungen • Umgang mit zunehmender Heterogenität und unterschiedlichem Vorwissen auf Seite der Studierenden • Konzepte problembasierten Lernens in die Hochschullehre integrieren • Steigerung der Motivation von Studierenden • Umgang mit der doppelten Diskontinuität mathematischer Lehramtsstudiengänge","lang":"eng"}],"user_id":"37888"},{"publication":"Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education","department":[{"_id":"98"}],"author":[{"first_name":"Jennifer","full_name":"Dröse, Jennifer","last_name":"Dröse","id":"85820"}],"quality_controlled":"1","publisher":"Freudenthal Group & ERME","date_created":"2023-05-31T07:49:40Z","status":"public","editor":[{"last_name":"Jankvist","first_name":"U. T.","full_name":"Jankvist, U. T."},{"last_name":"van den Heuvel-Panhuizen","first_name":"M.","full_name":"van den Heuvel-Panhuizen, M."},{"full_name":"Veldhuis, M.","first_name":"M.","last_name":"Veldhuis"}],"place":"Utrecht","extern":"1","user_id":"85820","title":"Comprehending mathematical problem texts – Fostering subject-specific reading strategies for creating mental text representation","language":[{"iso":"eng"}],"type":"conference","citation":{"chicago":"Dröse, Jennifer. “Comprehending Mathematical Problem Texts – Fostering Subject-Specific Reading Strategies for Creating Mental Text Representation.” In Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education, edited by U. T. Jankvist, M. van den Heuvel-Panhuizen, and M. Veldhuis. Utrecht: Freudenthal Group & ERME, 2019.","ama":"Dröse J. Comprehending mathematical problem texts – Fostering subject-specific reading strategies for creating mental text representation. In: Jankvist UT, van den Heuvel-Panhuizen M, Veldhuis M, eds. Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education. Freudenthal Group & ERME; 2019.","apa":"Dröse, J. (2019). Comprehending mathematical problem texts – Fostering subject-specific reading strategies for creating mental text representation. In U. T. Jankvist, M. van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education. Freudenthal Group & ERME.","bibtex":"@inproceedings{Dröse_2019, place={Utrecht}, title={Comprehending mathematical problem texts – Fostering subject-specific reading strategies for creating mental text representation}, booktitle={Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education}, publisher={Freudenthal Group & ERME}, author={Dröse, Jennifer}, editor={Jankvist, U. T. and van den Heuvel-Panhuizen, M. and Veldhuis, M.}, year={2019} }","mla":"Dröse, Jennifer. “Comprehending Mathematical Problem Texts – Fostering Subject-Specific Reading Strategies for Creating Mental Text Representation.” Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education, edited by U. T. Jankvist et al., Freudenthal Group & ERME, 2019.","short":"J. Dröse, in: U.T. Jankvist, M. van den Heuvel-Panhuizen, M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education, Freudenthal Group & ERME, Utrecht, 2019.","ieee":"J. Dröse, “Comprehending mathematical problem texts – Fostering subject-specific reading strategies for creating mental text representation,” in Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education, 2019."},"year":"2019","date_updated":"2023-11-02T08:06:31Z","_id":"45388"},{"language":[{"iso":"eng"}],"page":"161-166","citation":{"mla":"Dröse, Jennifer. “Mathematical and Linguistic Features of Word Problems in Grade 4 and 5 German Textbooks – A Compara-Tive Corpus Linguistic Approach.” Proceedings of the Third International Conference on Mathematics Textbook Research and Development , edited by S. Rezat et al., 2019, pp. 161–66.","bibtex":"@inproceedings{Dröse_2019, place={Paderborn}, title={Mathematical and linguistic features of word problems in grade 4 and 5 German textbooks – A compara-tive corpus linguistic approach}, booktitle={Proceedings of the Third International Conference on Mathematics Textbook Research and Development }, author={Dröse, Jennifer}, editor={Rezat, S. and Hattermann, M. and Schumacher, J. and Wuschke, H.}, year={2019}, pages={161–166} }","chicago":"Dröse, Jennifer. “Mathematical and Linguistic Features of Word Problems in Grade 4 and 5 German Textbooks – A Compara-Tive Corpus Linguistic Approach.” In Proceedings of the Third International Conference on Mathematics Textbook Research and Development , edited by S. Rezat, M. Hattermann, J. Schumacher, and H. Wuschke, 161–66. Paderborn, 2019.","apa":"Dröse, J. (2019). Mathematical and linguistic features of word problems in grade 4 and 5 German textbooks – A compara-tive corpus linguistic approach. In S. Rezat, M. Hattermann, J. Schumacher, & H. Wuschke (Eds.), Proceedings of the Third International Conference on Mathematics Textbook Research and Development (pp. 161–166).","ama":"Dröse J. Mathematical and linguistic features of word problems in grade 4 and 5 German textbooks – A compara-tive corpus linguistic approach. In: Rezat S, Hattermann M, Schumacher J, Wuschke H, eds. Proceedings of the Third International Conference on Mathematics Textbook Research and Development . ; 2019:161-166.","ieee":"J. Dröse, “Mathematical and linguistic features of word problems in grade 4 and 5 German textbooks – A compara-tive corpus linguistic approach,” in Proceedings of the Third International Conference on Mathematics Textbook Research and Development , 2019, pp. 161–166.","short":"J. Dröse, in: S. Rezat, M. Hattermann, J. Schumacher, H. 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Binder, 1239–42. Münster: WTM, 2019.","ama":"Delucchi R, Neugebauer P, Dröse J, Prediger S, Mertins B. Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5. In: Frank A, Krauss S, Binder K, eds. Beiträge zum Mathematikunterricht 2019 . WTM; 2019:1239-1242.","apa":"Delucchi, R., Neugebauer, P., Dröse, J., Prediger, S., & Mertins, B. (2019). Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5. In A. Frank, S. Krauss, & K. Binder (Eds.), Beiträge zum Mathematikunterricht 2019 (pp. 1239–1242). 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We show how to implement this approach for the analysis\r\nof partial differential equations and illustrate its feasibility by computing unstable manifolds of the\r\none-dimensional Kuramoto--Sivashinsky equation as well as for the Mackey--Glass delay differential\r\nequation.\r\n","lang":"eng"}],"user_id":"32655","main_file_link":[{"url":"https://epubs.siam.org/doi/epdf/10.1137/18M1204395"}],"year":"2019","type":"journal_article","citation":{"ama":"Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems. 2019;18(3):1265-1292. doi:10.1137/18m1204395","apa":"Ziessler, A., Dellnitz, M., & Gerlach, R. (2019). The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems, 18(3), 1265–1292. https://doi.org/10.1137/18m1204395","chicago":"Ziessler, Adrian, Michael Dellnitz, and Raphael Gerlach. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” SIAM Journal on Applied Dynamical Systems 18, no. 3 (2019): 1265–92. https://doi.org/10.1137/18m1204395.","mla":"Ziessler, Adrian, et al. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” SIAM Journal on Applied Dynamical Systems, vol. 18, no. 3, 2019, pp. 1265–92, doi:10.1137/18m1204395.","bibtex":"@article{Ziessler_Dellnitz_Gerlach_2019, title={The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques}, volume={18}, DOI={10.1137/18m1204395}, number={3}, journal={SIAM Journal on Applied Dynamical Systems}, author={Ziessler, Adrian and Dellnitz, Michael and Gerlach, Raphael}, year={2019}, pages={1265–1292} }","short":"A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.","ieee":"A. Ziessler, M. Dellnitz, and R. Gerlach, “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques,” SIAM Journal on Applied Dynamical Systems, vol. 18, no. 3, pp. 1265–1292, 2019, doi: 10.1137/18m1204395."},"page":"1265-1292","intvolume":" 18","_id":"16708","issue":"3"},{"year":"2019","citation":{"ieee":"M. Kirschmer and G. Nebe, “Quaternary quadratic lattices over number fields,” International Journal of Number Theory, vol. 15, no. 02, pp. 309–325, 2019, doi: 10.1142/s1793042119500131.","short":"M. Kirschmer, G. Nebe, International Journal of Number Theory 15 (2019) 309–325.","bibtex":"@article{Kirschmer_Nebe_2019, title={Quaternary quadratic lattices over number fields}, volume={15}, DOI={10.1142/s1793042119500131}, number={02}, journal={International Journal of Number Theory}, publisher={World Scientific Pub Co Pte Lt}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2019}, pages={309–325} }","mla":"Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over Number Fields.” International Journal of Number Theory, vol. 15, no. 02, World Scientific Pub Co Pte Lt, 2019, pp. 309–25, doi:10.1142/s1793042119500131.","ama":"Kirschmer M, Nebe G. Quaternary quadratic lattices over number fields. International Journal of Number Theory. 2019;15(02):309-325. doi:10.1142/s1793042119500131","apa":"Kirschmer, M., & Nebe, G. (2019). Quaternary quadratic lattices over number fields. 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This yields a good algorithm to enumerate a system of representatives of proper isometry classes of lattices in genera of maximal lattices in (V,q).","lang":"eng"}],"user_id":"82258","language":[{"iso":"eng"}],"date_updated":"2023-12-06T10:05:59Z","doi":"10.1142/s1793042119500131","department":[{"_id":"102"}],"publication_identifier":{"issn":["1793-0421","1793-7310"]},"publication_status":"published","title":"Quaternary quadratic lattices over number fields"},{"language":[{"iso":"eng"}],"doi":"10.1016/j.jnt.2018.08.004","date_updated":"2023-12-06T10:07:17Z","publication_status":"published","publication_identifier":{"issn":["0022-314X"]},"department":[{"_id":"102"}],"title":"Automorphisms of even unimodular lattices over number fields","citation":{"short":"M. Kirschmer, Journal of Number Theory 197 (2019) 121–134.","ieee":"M. Kirschmer, “Automorphisms of even unimodular lattices over number fields,” Journal of Number Theory, vol. 197, pp. 121–134, 2019, doi: 10.1016/j.jnt.2018.08.004.","chicago":"Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.” Journal of Number Theory 197 (2019): 121–34. https://doi.org/10.1016/j.jnt.2018.08.004.","ama":"Kirschmer M. Automorphisms of even unimodular lattices over number fields. Journal of Number Theory. 2019;197:121-134. doi:10.1016/j.jnt.2018.08.004","apa":"Kirschmer, M. (2019). Automorphisms of even unimodular lattices over number fields. 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This generalizes results of Gross & McMullen and Bayer-Fluckiger & Taelman."}]},{"status":"public","date_created":"2022-05-17T13:41:53Z","author":[{"full_name":"Schütte, Philipp","first_name":"Philipp","id":"50168","last_name":"Schütte"}],"department":[{"_id":"548"}],"title":"Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces","user_id":"49063","citation":{"short":"P. Schütte, Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces, 2019.","ieee":"P. Schütte, Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces. 2019.","chicago":"Schütte, Philipp. Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces, 2019.","ama":"Schütte P. Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces.; 2019.","apa":"Schütte, P. (2019). 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