[{"user_id":"45027","_id":"31191","language":[{"iso":"eng"}],"date_updated":"2022-05-24T13:06:58Z","title":"Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces","status":"public","year":"2019","author":[{"full_name":"Kolb, Martin","first_name":"Martin","last_name":"Kolb"},{"id":"49178","full_name":"Weich, Tobias","first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919"},{"id":"45027","full_name":"Wolf, Lasse Lennart","last_name":"Wolf","first_name":"Lasse Lennart"}],"type":"preprint","department":[{"_id":"548"}],"external_id":{"arxiv":["1909.06183"]},"date_created":"2022-05-11T10:42:11Z","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 $SL_2(\\mathbb{R})$."}],"publication":"arXiv:1909.06183","citation":{"ama":"Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces. <i>arXiv:190906183</i>. Published online 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.” <i>ArXiv:1909.06183</i>, 2019.","short":"M. Kolb, T. Weich, L.L. Wolf, ArXiv:1909.06183 (2019).","chicago":"Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces.” <i>ArXiv:1909.06183</i>, 2019.","apa":"Kolb, M., Weich, T., &#38; Wolf, L. L. (2019). Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces. In <i>arXiv:1909.06183</i>.","ieee":"M. Kolb, T. Weich, and L. L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces,” <i>arXiv:1909.06183</i>. 2019."}},{"title":"Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems","year":"2019","author":[{"id":"48880","full_name":"Kolb, Martin","first_name":"Martin","last_name":"Kolb"},{"full_name":"Liesenfeld, Matthias","first_name":"Matthias","last_name":"Liesenfeld"}],"date_updated":"2022-09-12T07:19:02Z","publication_status":"published","intvolume":"        20","language":[{"iso":"eng"}],"doi":"http://dx.doi.org/10.1007/s00023-019-00772-9","publication":"Annales Henri Poincaré","issue":"6","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."}],"date_created":"2022-09-12T07:18:58Z","type":"journal_article","department":[{"_id":"96"}],"status":"public","page":"1753-1783","_id":"33331","publisher":"Institute Henri Poincaré","user_id":"85821","volume":20,"citation":{"mla":"Kolb, Martin, and Matthias Liesenfeld. “Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems.” <i>Annales Henri Poincaré</i>, vol. 20, no. 6, Institute Henri Poincaré, 2019, pp. 1753–83, doi:<a href=\"http://dx.doi.org/10.1007/s00023-019-00772-9\">http://dx.doi.org/10.1007/s00023-019-00772-9</a>.","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={<a href=\"http://dx.doi.org/10.1007/s00023-019-00772-9\">http://dx.doi.org/10.1007/s00023-019-00772-9</a>}, number={6}, journal={Annales Henri Poincaré}, publisher={Institute Henri Poincaré}, author={Kolb, Martin and Liesenfeld, Matthias}, year={2019}, pages={1753–1783} }","ama":"Kolb M, Liesenfeld M. Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems. <i>Annales Henri Poincaré</i>. 2019;20(6):1753-1783. doi:<a href=\"http://dx.doi.org/10.1007/s00023-019-00772-9\">http://dx.doi.org/10.1007/s00023-019-00772-9</a>","ieee":"M. Kolb and M. Liesenfeld, “Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems,” <i>Annales Henri Poincaré</i>, vol. 20, no. 6, pp. 1753–1783, 2019, doi: <a href=\"http://dx.doi.org/10.1007/s00023-019-00772-9\">http://dx.doi.org/10.1007/s00023-019-00772-9</a>.","apa":"Kolb, M., &#38; Liesenfeld, M. (2019). Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems. <i>Annales Henri Poincaré</i>, <i>20</i>(6), 1753–1783. <a href=\"http://dx.doi.org/10.1007/s00023-019-00772-9\">http://dx.doi.org/10.1007/s00023-019-00772-9</a>","short":"M. Kolb, M. Liesenfeld, Annales Henri Poincaré 20 (2019) 1753–1783.","chicago":"Kolb, Martin, and Matthias Liesenfeld. “Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems.” <i>Annales Henri Poincaré</i> 20, no. 6 (2019): 1753–83. <a href=\"http://dx.doi.org/10.1007/s00023-019-00772-9\">http://dx.doi.org/10.1007/s00023-019-00772-9</a>."}},{"department":[{"_id":"96"}],"type":"journal_article","date_created":"2022-09-12T07:24:52Z","citation":{"bibtex":"@article{Wang_Kolb_Roberts_Steinsaltz_2019, title={Theoretical properties of quasi-stationary Monte Carlo methods}, volume={29}, DOI={<a href=\"http://dx.doi.org/10.1214/18-AAP1422\">http://dx.doi.org/10.1214/18-AAP1422</a>}, number={1}, journal={The Annals of Applied Probability}, author={Wang, Andi Q. and Kolb, Martin and Roberts, Gareth O. and Steinsaltz, David}, year={2019} }","ama":"Wang AQ, Kolb M, Roberts GO, Steinsaltz D. Theoretical properties of quasi-stationary Monte Carlo methods. <i>The Annals of Applied Probability</i>. 2019;29(1). doi:<a href=\"http://dx.doi.org/10.1214/18-AAP1422\">http://dx.doi.org/10.1214/18-AAP1422</a>","mla":"Wang, Andi Q., et al. “Theoretical Properties of Quasi-Stationary Monte Carlo Methods.” <i>The Annals of Applied Probability</i>, vol. 29, no. 1, 2019, doi:<a href=\"http://dx.doi.org/10.1214/18-AAP1422\">http://dx.doi.org/10.1214/18-AAP1422</a>.","short":"A.Q. Wang, M. Kolb, G.O. Roberts, D. Steinsaltz, The Annals of Applied Probability 29 (2019).","chicago":"Wang, Andi Q., Martin Kolb, Gareth O. Roberts, and David Steinsaltz. “Theoretical Properties of Quasi-Stationary Monte Carlo Methods.” <i>The Annals of Applied Probability</i> 29, no. 1 (2019). <a href=\"http://dx.doi.org/10.1214/18-AAP1422\">http://dx.doi.org/10.1214/18-AAP1422</a>.","ieee":"A. Q. Wang, M. Kolb, G. O. Roberts, and D. Steinsaltz, “Theoretical properties of quasi-stationary Monte Carlo methods,” <i>The Annals of Applied Probability</i>, vol. 29, no. 1, 2019, doi: <a href=\"http://dx.doi.org/10.1214/18-AAP1422\">http://dx.doi.org/10.1214/18-AAP1422</a>.","apa":"Wang, A. Q., Kolb, M., Roberts, G. O., &#38; Steinsaltz, D. (2019). Theoretical properties of quasi-stationary Monte Carlo methods. <i>The Annals of Applied Probability</i>, <i>29</i>(1). <a href=\"http://dx.doi.org/10.1214/18-AAP1422\">http://dx.doi.org/10.1214/18-AAP1422</a>"},"issue":"1","publication":"The Annals of Applied Probability","volume":29,"user_id":"85821","doi":"http://dx.doi.org/10.1214/18-AAP1422","_id":"33333","language":[{"iso":"eng"}],"intvolume":"        29","date_updated":"2022-09-12T07:32:35Z","author":[{"first_name":"Andi Q.","last_name":"Wang","full_name":"Wang, Andi Q."},{"id":"48880","full_name":"Kolb, Martin","first_name":"Martin","last_name":"Kolb"},{"last_name":"Roberts","first_name":"Gareth O.","full_name":"Roberts, Gareth O."},{"full_name":"Steinsaltz, David","first_name":"David","last_name":"Steinsaltz"}],"year":"2019","title":"Theoretical properties of quasi-stationary Monte Carlo methods","status":"public"},{"type":"journal_article","department":[{"_id":"96"}],"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)."}],"publication":"Stochastic Processes and their Applications","issue":"5","doi":"http://dx.doi.org/10.1016/j.spa.2018.05.012","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2022-09-12T07:46:47Z","intvolume":"       129","title":"Quasistationary distributions for one-dimensional diffusions with two singular boundary points","year":"2019","author":[{"full_name":"Hening, Alexandru","last_name":"Hening","first_name":"Alexandru"},{"last_name":"Kolb","first_name":"Martin","full_name":"Kolb, Martin"}],"citation":{"mla":"Hening, Alexandru, and Martin Kolb. “Quasistationary Distributions for One-Dimensional Diffusions with Two Singular Boundary Points.” <i>Stochastic Processes and Their Applications</i>, vol. 129, no. 5, Bernoulli Society for Mathematical Statistics and Probability, 2019, pp. 1659–96, doi:<a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>.","ama":"Hening A, Kolb M. Quasistationary distributions for one-dimensional diffusions with two singular boundary points. <i>Stochastic Processes and their Applications</i>. 2019;129(5):1659-1696. doi:<a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>","bibtex":"@article{Hening_Kolb_2019, title={Quasistationary distributions for one-dimensional diffusions with two singular boundary points}, volume={129}, DOI={<a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>}, 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., &#38; Kolb, M. (2019). Quasistationary distributions for one-dimensional diffusions with two singular boundary points. <i>Stochastic Processes and Their Applications</i>, <i>129</i>(5), 1659–1696. <a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>","ieee":"A. Hening and M. Kolb, “Quasistationary distributions for one-dimensional diffusions with two singular boundary points,” <i>Stochastic Processes and their Applications</i>, vol. 129, no. 5, pp. 1659–1696, 2019, doi: <a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>.","chicago":"Hening, Alexandru, and Martin Kolb. “Quasistationary Distributions for One-Dimensional Diffusions with Two Singular Boundary Points.” <i>Stochastic Processes and Their Applications</i> 129, no. 5 (2019): 1659–96. <a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>.","short":"A. Hening, M. Kolb, Stochastic Processes and Their Applications 129 (2019) 1659–1696."},"user_id":"85821","volume":129,"page":"1659-1696","_id":"33334","publisher":"Bernoulli Society for Mathematical Statistics and Probability","status":"public"},{"project":[{"name":"RegLie: Regularität von Lie-Gruppen und Lie's Dritter Satz (RegLie)","_id":"161"}],"citation":{"mla":"Hanusch, Maximilian. “Differentiability of the Evolution Map and Mackey Continuity.” <i>Forum Mathematicum</i>, vol. 31, no. 5, Walter de Gruyter GmbH, 2019, pp. 1139–77, doi:<a href=\"https://doi.org/10.1515/forum-2018-0310\">10.1515/forum-2018-0310</a>.","ama":"Hanusch M. Differentiability of the evolution map and Mackey continuity. <i>Forum Mathematicum</i>. 2019;31(5):1139-1177. doi:<a href=\"https://doi.org/10.1515/forum-2018-0310\">10.1515/forum-2018-0310</a>","bibtex":"@article{Hanusch_2019, title={Differentiability of the evolution map and Mackey continuity}, volume={31}, DOI={<a href=\"https://doi.org/10.1515/forum-2018-0310\">10.1515/forum-2018-0310</a>}, number={5}, journal={Forum Mathematicum}, publisher={Walter de Gruyter GmbH}, author={Hanusch, Maximilian}, year={2019}, pages={1139–1177} }","apa":"Hanusch, M. (2019). Differentiability of the evolution map and Mackey continuity. <i>Forum Mathematicum</i>, <i>31</i>(5), 1139–1177. <a href=\"https://doi.org/10.1515/forum-2018-0310\">https://doi.org/10.1515/forum-2018-0310</a>","ieee":"M. Hanusch, “Differentiability of the evolution map and Mackey continuity,” <i>Forum Mathematicum</i>, vol. 31, no. 5, pp. 1139–1177, 2019, doi: <a href=\"https://doi.org/10.1515/forum-2018-0310\">10.1515/forum-2018-0310</a>.","short":"M. Hanusch, Forum Mathematicum 31 (2019) 1139–1177.","chicago":"Hanusch, Maximilian. “Differentiability of the Evolution Map and Mackey Continuity.” <i>Forum Mathematicum</i> 31, no. 5 (2019): 1139–77. <a href=\"https://doi.org/10.1515/forum-2018-0310\">https://doi.org/10.1515/forum-2018-0310</a>."},"status":"public","user_id":"30905","volume":31,"page":"1139-1177","_id":"34829","publisher":"Walter de Gruyter GmbH","issue":"5","publication":"Forum Mathematicum","type":"journal_article","keyword":["regularity of Lie groups","differentiability of the evolution map"],"department":[{"_id":"93"}],"date_created":"2022-12-22T09:38:08Z","date_updated":"2023-01-09T18:07:13Z","publication_status":"published","intvolume":"        31","article_type":"original","title":"Differentiability of the evolution map and Mackey continuity","year":"2019","author":[{"first_name":"Maximilian","last_name":"Hanusch","full_name":"Hanusch, Maximilian","id":"30905"}],"publication_identifier":{"issn":["1435-5337","0933-7741"]},"doi":"10.1515/forum-2018-0310","language":[{"iso":"eng"}]},{"date_updated":"2023-11-02T08:06:31Z","year":"2019","status":"public","title":"Comprehending mathematical problem texts – Fostering subject-specific reading strategies for creating mental text representation","author":[{"id":"85820","last_name":"Dröse","first_name":"Jennifer","full_name":"Dröse, Jennifer"}],"user_id":"85820","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.","last_name":"Veldhuis","first_name":"M."}],"publisher":"Freudenthal Group & ERME","_id":"45388","language":[{"iso":"eng"}],"extern":"1","quality_controlled":"1","publication":"Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education","citation":{"mla":"Dröse, Jennifer. “Comprehending Mathematical Problem Texts – Fostering Subject-Specific Reading Strategies for Creating Mental Text Representation.” <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education</i>, edited by U. T. Jankvist et al., Freudenthal Group &#38; ERME, 2019.","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 &#38; ERME}, author={Dröse, Jennifer}, editor={Jankvist, U. T. and van den Heuvel-Panhuizen, M. and Veldhuis, M.}, year={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. <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education</i>. Freudenthal Group &#38; ERME; 2019.","ieee":"J. Dröse, “Comprehending mathematical problem texts – Fostering subject-specific reading strategies for creating mental text representation,” in <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education</i>, 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, &#38; M. Veldhuis (Eds.), <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education</i>. Freudenthal Group &#38; ERME.","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 &#38; ERME, Utrecht, 2019.","chicago":"Dröse, Jennifer. “Comprehending Mathematical Problem Texts – Fostering Subject-Specific Reading Strategies for Creating Mental Text Representation.” In <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education</i>, edited by U. T. Jankvist, M. van den Heuvel-Panhuizen, and M. Veldhuis. Utrecht: Freudenthal Group &#38; ERME, 2019."},"type":"conference","department":[{"_id":"98"}],"date_created":"2023-05-31T07:49:40Z","place":"Utrecht"},{"place":"Paderborn","date_created":"2023-05-31T07:54:00Z","type":"conference","department":[{"_id":"98"}],"publication":"Proceedings of the Third International Conference on Mathematics Textbook Research and Development ","citation":{"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, &#38; H. Wuschke (Eds.), <i>Proceedings of the Third International Conference on Mathematics Textbook Research and Development </i> (pp. 161–166).","mla":"Dröse, Jennifer. “Mathematical and Linguistic Features of Word Problems in Grade 4 and 5 German Textbooks – A Compara-Tive Corpus Linguistic Approach.” <i>Proceedings of the Third International Conference on Mathematics Textbook Research and Development </i>, edited by S. Rezat et al., 2019, pp. 161–66.","ieee":"J. Dröse, “Mathematical and linguistic features of word problems in grade 4 and 5 German textbooks – A compara-tive corpus linguistic approach,” in <i>Proceedings of the Third International Conference on Mathematics Textbook Research and Development </i>, 2019, pp. 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 <i>Proceedings of the Third International Conference on Mathematics Textbook Research and Development </i>, edited by S. Rezat, M. Hattermann, J. Schumacher, and H. Wuschke, 161–66. Paderborn, 2019.","short":"J. Dröse, in: S. Rezat, M. Hattermann, J. Schumacher, H. Wuschke (Eds.), Proceedings of the Third International Conference on Mathematics Textbook Research and Development , Paderborn, 2019, 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. <i>Proceedings of the Third International Conference on Mathematics Textbook Research and Development </i>. ; 2019:161-166.","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} }"},"quality_controlled":"1","page":"161-166","_id":"45389","language":[{"iso":"eng"}],"user_id":"85820","editor":[{"first_name":"S.","last_name":"Rezat","full_name":"Rezat, S."},{"full_name":"Hattermann, M.","first_name":"M.","last_name":"Hattermann"},{"full_name":"Schumacher, J.","first_name":"J.","last_name":"Schumacher"},{"full_name":"Wuschke, H.","last_name":"Wuschke","first_name":"H."}],"year":"2019","status":"public","title":"Mathematical and linguistic features of word problems in grade 4 and 5 German textbooks – A compara-tive corpus linguistic approach","author":[{"last_name":"Dröse","first_name":"Jennifer","full_name":"Dröse, Jennifer","id":"85820"}],"date_updated":"2023-11-02T08:06:16Z"},{"citation":{"chicago":"Faulwasser, Tim, K. Flaßkamp, Sina Ober-Blöbaum, and Karl Worthmann. “Towards Velocity Turnpikes in Optimal Control of Mechanical Systems.” edited by IFAC-PapersOnLine, 52(16):490–95, 2019.","short":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: IFAC-PapersOnLine (Ed.), 2019, pp. 490–495.","ieee":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “Towards velocity turnpikes in optimal control of mechanical systems,” 2019, vol. 52(16), pp. 490–495.","apa":"Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., &#38; Worthmann, K. (2019). <i>Towards velocity turnpikes in optimal control of mechanical systems: Vol. 52(16)</i> (IFAC-PapersOnLine, Ed.; pp. 490–495).","bibtex":"@inproceedings{Faulwasser_Flaßkamp_Ober-Blöbaum_Worthmann_2019, title={Towards velocity turnpikes in optimal control of mechanical systems}, volume={52(16)}, author={Faulwasser, Tim and Flaßkamp, K. and Ober-Blöbaum, Sina and Worthmann, Karl}, editor={IFAC-PapersOnLine}, year={2019}, pages={490–495} }","ama":"Faulwasser T, Flaßkamp K, Ober-Blöbaum S, Worthmann K. Towards velocity turnpikes in optimal control of mechanical systems. In: IFAC-PapersOnLine, ed. Vol 52(16). ; 2019:490-495.","mla":"Faulwasser, Tim, et al. <i>Towards Velocity Turnpikes in Optimal Control of Mechanical Systems</i>. Edited by IFAC-PapersOnLine, vol. 52(16), 2019, pp. 490–95."},"date_created":"2022-02-17T07:23:52Z","type":"conference","department":[{"_id":"636"}],"title":"Towards velocity turnpikes in optimal control of mechanical systems","year":"2019","status":"public","corporate_editor":["IFAC-PapersOnLine"],"author":[{"last_name":"Faulwasser","first_name":"Tim","full_name":"Faulwasser, Tim"},{"full_name":"Flaßkamp, K.","first_name":"K.","last_name":"Flaßkamp"},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"full_name":"Worthmann, Karl","last_name":"Worthmann","first_name":"Karl"}],"date_updated":"2023-11-08T08:09:01Z","page":"490-495","_id":"29867","language":[{"iso":"eng"}],"user_id":"15694","volume":"52(16)"},{"type":"conference","department":[{"_id":"98"}],"date_created":"2023-05-31T08:10:11Z","place":"Münster","extern":"1","publication":"Beiträge zum Mathematikunterricht 2019 ","citation":{"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. <i>Beiträge zum Mathematikunterricht 2019 </i>. WTM; 2019:1239-1242.","bibtex":"@inproceedings{Delucchi_Neugebauer_Dröse_Prediger_Mertins_2019, place={Münster}, title={Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5}, booktitle={Beiträge zum Mathematikunterricht 2019 }, publisher={WTM}, author={Delucchi, R. and Neugebauer, P. and Dröse, Jennifer and Prediger, Susanne and Mertins, B.}, editor={Frank, A. and Krauss, S. and Binder, K.}, year={2019}, pages={1239–1242} }","mla":"Delucchi, R., et al. “Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5.” <i>Beiträge zum Mathematikunterricht 2019 </i>, edited by A. Frank et al., WTM, 2019, pp. 1239–42.","chicago":"Delucchi, R., P. Neugebauer, Jennifer Dröse, Susanne Prediger, and B. Mertins. “Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5.” In <i>Beiträge zum Mathematikunterricht 2019 </i>, edited by A. Frank, S. Krauss, and K. Binder, 1239–42. Münster: WTM, 2019.","short":"R. Delucchi, P. Neugebauer, J. Dröse, S. Prediger, B. Mertins, in: A. Frank, S. Krauss, K. Binder (Eds.), Beiträge zum Mathematikunterricht 2019 , WTM, Münster, 2019, pp. 1239–1242.","apa":"Delucchi, R., Neugebauer, P., Dröse, J., Prediger, S., &#38; Mertins, B. (2019). Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5. In A. Frank, S. Krauss, &#38; K. Binder (Eds.), <i>Beiträge zum Mathematikunterricht 2019 </i> (pp. 1239–1242). WTM.","ieee":"R. Delucchi, P. Neugebauer, J. Dröse, S. Prediger, and B. Mertins, “Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5,” in <i>Beiträge zum Mathematikunterricht 2019 </i>, 2019, pp. 1239–1242."},"user_id":"85820","editor":[{"full_name":"Frank, A.","first_name":"A.","last_name":"Frank"},{"first_name":"S.","last_name":"Krauss","full_name":"Krauss, S."},{"first_name":"K.","last_name":"Binder","full_name":"Binder, K."}],"page":"1239-1242","_id":"45391","publisher":"WTM","language":[{"iso":"ger"}],"date_updated":"2023-11-02T08:10:18Z","title":"Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5","year":"2019","status":"public","author":[{"full_name":"Delucchi, R.","last_name":"Delucchi","first_name":"R."},{"full_name":"Neugebauer, P.","last_name":"Neugebauer","first_name":"P."},{"full_name":"Dröse, Jennifer","first_name":"Jennifer","last_name":"Dröse","id":"85820"},{"last_name":"Prediger","first_name":"Susanne","full_name":"Prediger, Susanne"},{"full_name":"Mertins, B.","first_name":"B.","last_name":"Mertins"}]},{"publication_identifier":{"issn":["1536-0040"]},"author":[{"full_name":"Ziessler, Adrian","last_name":"Ziessler","first_name":"Adrian"},{"full_name":"Dellnitz, Michael","first_name":"Michael","last_name":"Dellnitz"},{"full_name":"Gerlach, Raphael","last_name":"Gerlach","first_name":"Raphael","id":"32655"}],"year":"2019","title":"The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques","intvolume":"        18","publication_status":"published","date_updated":"2023-11-17T13:13:09Z","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://epubs.siam.org/doi/epdf/10.1137/18M1204395"}],"doi":"10.1137/18m1204395","publication":"SIAM Journal on Applied Dynamical Systems","issue":"3","abstract":[{"lang":"eng","text":" In this work we extend the novel framework developed by Dellnitz, Hessel-von Molo, and Ziessler to\r\nthe computation of finite dimensional unstable manifolds of infinite dimensional dynamical systems.\r\nTo this end, we adapt a set-oriented continuation technique developed by Dellnitz and Hohmann for\r\nthe computation of such objects of finite dimensional systems with the results obtained in the work\r\nof Dellnitz, Hessel-von Molo, and Ziessler. 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"}],"date_created":"2020-04-16T14:04:20Z","department":[{"_id":"101"}],"type":"journal_article","status":"public","_id":"16708","page":"1265-1292","volume":18,"user_id":"32655","citation":{"mla":"Ziessler, Adrian, et al. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” <i>SIAM Journal on Applied Dynamical Systems</i>, vol. 18, no. 3, 2019, pp. 1265–92, doi:<a href=\"https://doi.org/10.1137/18m1204395\">10.1137/18m1204395</a>.","ama":"Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. <i>SIAM Journal on Applied Dynamical Systems</i>. 2019;18(3):1265-1292. doi:<a href=\"https://doi.org/10.1137/18m1204395\">10.1137/18m1204395</a>","bibtex":"@article{Ziessler_Dellnitz_Gerlach_2019, title={The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques}, volume={18}, DOI={<a href=\"https://doi.org/10.1137/18m1204395\">10.1137/18m1204395</a>}, number={3}, journal={SIAM Journal on Applied Dynamical Systems}, author={Ziessler, Adrian and Dellnitz, Michael and Gerlach, Raphael}, year={2019}, pages={1265–1292} }","apa":"Ziessler, A., Dellnitz, M., &#38; Gerlach, R. (2019). The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. <i>SIAM Journal on Applied Dynamical Systems</i>, <i>18</i>(3), 1265–1292. <a href=\"https://doi.org/10.1137/18m1204395\">https://doi.org/10.1137/18m1204395</a>","ieee":"A. Ziessler, M. Dellnitz, and R. Gerlach, “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques,” <i>SIAM Journal on Applied Dynamical Systems</i>, vol. 18, no. 3, pp. 1265–1292, 2019, doi: <a href=\"https://doi.org/10.1137/18m1204395\">10.1137/18m1204395</a>.","short":"A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.","chicago":"Ziessler, Adrian, Michael Dellnitz, and Raphael Gerlach. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” <i>SIAM Journal on Applied Dynamical Systems</i> 18, no. 3 (2019): 1265–92. <a href=\"https://doi.org/10.1137/18m1204395\">https://doi.org/10.1137/18m1204395</a>."}},{"type":"journal_article","keyword":["Algebra and Number Theory"],"department":[{"_id":"102"}],"date_created":"2022-12-23T11:05:09Z","abstract":[{"lang":"eng","text":"We relate proper isometry classes of maximal lattices in a totally definite quaternary quadratic space (V,q) with trivial discriminant to certain equivalence classes of ideals in the quaternion algebra representing the Clifford invariant of (V,q). 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)."}],"issue":"02","publication":"International Journal of Number Theory","doi":"10.1142/s1793042119500131","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-12-06T10:05:59Z","intvolume":"        15","year":"2019","title":"Quaternary quadratic lattices over number fields","publication_identifier":{"issn":["1793-0421","1793-7310"]},"author":[{"full_name":"Kirschmer, Markus","first_name":"Markus","last_name":"Kirschmer","id":"82258"},{"full_name":"Nebe, Gabriele","last_name":"Nebe","first_name":"Gabriele"}],"citation":{"ieee":"M. Kirschmer and G. Nebe, “Quaternary quadratic lattices over number fields,” <i>International Journal of Number Theory</i>, vol. 15, no. 02, pp. 309–325, 2019, doi: <a href=\"https://doi.org/10.1142/s1793042119500131\">10.1142/s1793042119500131</a>.","apa":"Kirschmer, M., &#38; Nebe, G. (2019). Quaternary quadratic lattices over number fields. <i>International Journal of Number Theory</i>, <i>15</i>(02), 309–325. <a href=\"https://doi.org/10.1142/s1793042119500131\">https://doi.org/10.1142/s1793042119500131</a>","mla":"Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over Number Fields.” <i>International Journal of Number Theory</i>, vol. 15, no. 02, World Scientific Pub Co Pte Lt, 2019, pp. 309–25, doi:<a href=\"https://doi.org/10.1142/s1793042119500131\">10.1142/s1793042119500131</a>.","bibtex":"@article{Kirschmer_Nebe_2019, title={Quaternary quadratic lattices over number fields}, volume={15}, DOI={<a href=\"https://doi.org/10.1142/s1793042119500131\">10.1142/s1793042119500131</a>}, 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} }","chicago":"Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over Number Fields.” <i>International Journal of Number Theory</i> 15, no. 02 (2019): 309–25. <a href=\"https://doi.org/10.1142/s1793042119500131\">https://doi.org/10.1142/s1793042119500131</a>.","short":"M. Kirschmer, G. Nebe, International Journal of Number Theory 15 (2019) 309–325.","ama":"Kirschmer M, Nebe G. Quaternary quadratic lattices over number fields. <i>International Journal of Number Theory</i>. 2019;15(02):309-325. doi:<a href=\"https://doi.org/10.1142/s1793042119500131\">10.1142/s1793042119500131</a>"},"user_id":"82258","volume":15,"page":"309-325","publisher":"World Scientific Pub Co Pte Lt","_id":"34917","status":"public"},{"volume":197,"user_id":"82258","_id":"34916","publisher":"Elsevier BV","page":"121-134","status":"public","citation":{"mla":"Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.” <i>Journal of Number Theory</i>, vol. 197, Elsevier BV, 2019, pp. 121–34, doi:<a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">10.1016/j.jnt.2018.08.004</a>.","bibtex":"@article{Kirschmer_2019, title={Automorphisms of even unimodular lattices over number fields}, volume={197}, DOI={<a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">10.1016/j.jnt.2018.08.004</a>}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus}, year={2019}, pages={121–134} }","ama":"Kirschmer M. Automorphisms of even unimodular lattices over number fields. <i>Journal of Number Theory</i>. 2019;197:121-134. doi:<a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">10.1016/j.jnt.2018.08.004</a>","ieee":"M. Kirschmer, “Automorphisms of even unimodular lattices over number fields,” <i>Journal of Number Theory</i>, vol. 197, pp. 121–134, 2019, doi: <a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">10.1016/j.jnt.2018.08.004</a>.","apa":"Kirschmer, M. (2019). Automorphisms of even unimodular lattices over number fields. <i>Journal of Number Theory</i>, <i>197</i>, 121–134. <a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">https://doi.org/10.1016/j.jnt.2018.08.004</a>","short":"M. Kirschmer, Journal of Number Theory 197 (2019) 121–134.","chicago":"Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.” <i>Journal of Number Theory</i> 197 (2019): 121–34. <a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">https://doi.org/10.1016/j.jnt.2018.08.004</a>."},"doi":"10.1016/j.jnt.2018.08.004","language":[{"iso":"eng"}],"intvolume":"       197","date_updated":"2023-12-06T10:07:17Z","publication_status":"published","author":[{"id":"82258","full_name":"Kirschmer, Markus","first_name":"Markus","last_name":"Kirschmer"}],"publication_identifier":{"issn":["0022-314X"]},"year":"2019","title":"Automorphisms of even unimodular lattices over number fields","department":[{"_id":"102"}],"keyword":["Algebra and Number Theory"],"type":"journal_article","date_created":"2022-12-23T11:04:34Z","abstract":[{"text":"We describe the powers of irreducible polynomials occurring as characteristic polynomials of automorphisms of even unimodular lattices over number fields. This generalizes results of Gross & McMullen and Bayer-Fluckiger & Taelman.","lang":"eng"}],"publication":"Journal of Number Theory"},{"citation":{"mla":"Schütte, Philipp. <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>. 2019.","ama":"Schütte P. <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>.; 2019.","bibtex":"@book{Schütte_2019, title={Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces}, author={Schütte, Philipp}, year={2019} }","apa":"Schütte, P. (2019). <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>.","ieee":"P. Schütte, <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>. 2019.","chicago":"Schütte, Philipp. <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>, 2019.","short":"P. Schütte, Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces, 2019."},"supervisor":[{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"},{"id":"220","last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim"}],"date_created":"2022-05-17T13:41:53Z","department":[{"_id":"548"}],"type":"mastersthesis","author":[{"id":"50168","full_name":"Schütte, Philipp","last_name":"Schütte","first_name":"Philipp"}],"status":"public","title":"Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces","year":"2019","date_updated":"2024-02-19T06:21:23Z","language":[{"iso":"eng"}],"_id":"31302","user_id":"49063"},{"type":"journal_article","department":[{"_id":"91"}],"date_created":"2024-02-19T06:38:19Z","publication":"Inter. Math. Research Notices","citation":{"apa":"Hilgert, J., Parthasarathy, A., &#38; Hansen, S. (2019). Resonances and Scattering Poles in Symmetric Spaces of Rank One. <i>Inter. Math. Research Notices</i>, <i>20</i>, 6362–6389.","ieee":"J. Hilgert, A. Parthasarathy, and S. Hansen, “Resonances and Scattering Poles in Symmetric Spaces of Rank One,” <i>Inter. Math. Research Notices</i>, vol. 20, pp. 6362–6389, 2019.","chicago":"Hilgert, Joachim, A. Parthasarathy, and S. Hansen. “Resonances and Scattering Poles in Symmetric Spaces of Rank One.” <i>Inter. Math. Research Notices</i> 20 (2019): 6362–89.","short":"J. Hilgert, A. Parthasarathy, S. Hansen, Inter. Math. Research Notices 20 (2019) 6362–6389.","mla":"Hilgert, Joachim, et al. “Resonances and Scattering Poles in Symmetric Spaces of Rank One.” <i>Inter. Math. Research Notices</i>, vol. 20, 2019, pp. 6362–89.","ama":"Hilgert J, Parthasarathy A, Hansen S. 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European Mathematical Society 2015. <i>Mathematische Semesterberichte</i>. 2019;66:247–249. doi:<a href=\"https://doi.org/10.1007/s00591-018-0233-8\">10.1007/s00591-018-0233-8</a>"},"type":"review","department":[{"_id":"91"}],"date_created":"2024-02-20T10:11:29Z"},{"date_created":"2024-02-20T10:08:33Z","department":[{"_id":"91"}],"type":"review","citation":{"ieee":"J. Hilgert, “Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018,” <i>Mathematische Semesterberichte</i>, vol. 66. pp. 261–262, 2019, doi: <a href=\"https://doi.org/10.1007/s00591-019-00251-6\">10.1007/s00591-019-00251-6</a>.","apa":"Hilgert, J. (2019). Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018. 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Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018}, volume={66}, DOI={<a href=\"https://doi.org/10.1007/s00591-019-00251-6\">10.1007/s00591-019-00251-6</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2019}, pages={261–262} }","ama":"Hilgert J. Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018. <i>Mathematische Semesterberichte</i>. 2019;66:261–262. doi:<a href=\"https://doi.org/10.1007/s00591-019-00251-6\">10.1007/s00591-019-00251-6</a>"},"publication":"Mathematische Semesterberichte","_id":"51566","language":[{"iso":"eng"}],"page":"261–262","volume":66,"doi":"10.1007/s00591-019-00251-6","user_id":"49063","author":[{"full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim","id":"220"}],"status":"public","title":"Brian W. 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