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"},{"first_name":"K.","last_name":"Flaßkamp","full_name":"Flaßkamp, K."},{"full_name":"Gausemeier, J.","first_name":"J.","last_name":"Gausemeier"},{"full_name":"Hartmann, P.","last_name":"Hartmann","first_name":"P."},{"first_name":"P.","last_name":"Iwanek","full_name":"Iwanek, P."},{"first_name":"S.","last_name":"Korf","full_name":"Korf, S."},{"full_name":"Krüger, M.","last_name":"Krüger","first_name":"M."},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"full_name":"Porrmann, M.","first_name":"M.","last_name":"Porrmann"},{"full_name":"Priesterjahn, C.","first_name":"C.","last_name":"Priesterjahn"},{"full_name":"Stahl, K.","last_name":"Stahl","first_name":"K."},{"last_name":"Trächtler","first_name":"A.","full_name":"Trächtler, A."},{"first_name":"M.","last_name":"Vaßholz","full_name":"Vaßholz, M."}]},{"publication":"Zdravko Terze, Multibody Dynamics","citation":{"mla":"Leitz, T., et al. “Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration.” <i>Zdravko Terze, Multibody Dynamics</i>, vol. 35, Springer International Publishing, 2014, pp. 175–203.","ama":"Leitz T, Ober-Blöbaum S, Leyendecker S. Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration. In: <i>Zdravko Terze, Multibody Dynamics</i>. Vol 35. Computational Methods in Applied Sciences. Springer International Publishing; 2014:175-203.","bibtex":"@inbook{Leitz_Ober-Blöbaum_Leyendecker_2014, series={Computational Methods in Applied Sciences}, title={Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration}, volume={35}, booktitle={Zdravko Terze, Multibody Dynamics}, publisher={Springer International Publishing}, author={Leitz, T. and Ober-Blöbaum, Sina and Leyendecker, S.}, year={2014}, pages={175–203}, collection={Computational Methods in Applied Sciences} }","apa":"Leitz, T., Ober-Blöbaum, S., &#38; Leyendecker, S. (2014). Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration. In <i>Zdravko Terze, Multibody Dynamics</i> (Vol. 35, pp. 175–203). Springer International Publishing.","ieee":"T. Leitz, S. Ober-Blöbaum, and S. Leyendecker, “Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration,” in <i>Zdravko Terze, Multibody Dynamics</i>, vol. 35, Springer International Publishing, 2014, pp. 175–203.","chicago":"Leitz, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration.” In <i>Zdravko Terze, Multibody Dynamics</i>, 35:175–203. Computational Methods in Applied Sciences. Springer International Publishing, 2014.","short":"T. Leitz, S. Ober-Blöbaum, S. Leyendecker, in: Zdravko Terze, Multibody Dynamics, Springer International Publishing, 2014, pp. 175–203."},"type":"book_chapter","department":[{"_id":"636"}],"date_created":"2022-01-18T13:14:55Z","date_updated":"2022-01-21T10:49:42Z","intvolume":"        35","title":"Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration","year":"2014","status":"public","author":[{"first_name":"T.","last_name":"Leitz","full_name":"Leitz, T."},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum","id":"16494"},{"last_name":"Leyendecker","first_name":"S.","full_name":"Leyendecker, S."}],"user_id":"15694","volume":35,"page":"175-203","_id":"29414","publisher":"Springer International Publishing","language":[{"iso":"eng"}],"series_title":"Computational Methods in Applied Sciences"},{"title":"Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators","year":"2014","publication_identifier":{"issn":["0022-2488","1089-7658"]},"author":[{"full_name":"Weich, Tobias","last_name":"Weich","first_name":"Tobias","orcid":"0000-0002-9648-6919","id":"49178"}],"date_updated":"2022-05-19T10:16:38Z","publication_status":"published","intvolume":"        55","article_number":"101501","language":[{"iso":"eng"}],"doi":"10.1063/1.4896698","publication":"Journal of Mathematical Physics","issue":"10","date_created":"2022-05-17T12:57:00Z","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"status":"public","publisher":"AIP Publishing","_id":"31294","user_id":"49178","volume":55,"citation":{"chicago":"Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential Operators.” <i>Journal of Mathematical Physics</i> 55, no. 10 (2014). <a href=\"https://doi.org/10.1063/1.4896698\">https://doi.org/10.1063/1.4896698</a>.","short":"T. Weich, Journal of Mathematical Physics 55 (2014).","ieee":"T. Weich, “Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, Art. no. 101501, 2014, doi: <a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>.","apa":"Weich, T. (2014). Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators. <i>Journal of Mathematical Physics</i>, <i>55</i>(10), Article 101501. <a href=\"https://doi.org/10.1063/1.4896698\">https://doi.org/10.1063/1.4896698</a>","bibtex":"@article{Weich_2014, title={Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators}, volume={55}, DOI={<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>}, number={10101501}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Weich, Tobias}, year={2014} }","ama":"Weich T. Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators. <i>Journal of Mathematical Physics</i>. 2014;55(10). doi:<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>","mla":"Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential Operators.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, 101501, AIP Publishing, 2014, doi:<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>."},"external_id":{"arxiv":["1311.2436 "]}},{"citation":{"mla":"Kolb, Martin, and Mladen Savov. “Exponential Ergodicity of Killed Lévy Processes in a Finite Interval.” <i>Electronic Communications in Probability</i>, vol. 19, no. 31, Institute of Mathematical Statistics (IMS), 2014, pp. 1–9, doi:<a href=\"http://dx.doi.org/10.1214/ECP.v19-3006\">http://dx.doi.org/10.1214/ECP.v19-3006</a>.","ama":"Kolb M, Savov M. Exponential ergodicity of killed Lévy processes in a finite interval. <i>Electronic Communications in Probability</i>. 2014;19(31):1-9. doi:<a href=\"http://dx.doi.org/10.1214/ECP.v19-3006\">http://dx.doi.org/10.1214/ECP.v19-3006</a>","bibtex":"@article{Kolb_Savov_2014, title={Exponential ergodicity of killed Lévy processes in a finite interval}, volume={19}, DOI={<a href=\"http://dx.doi.org/10.1214/ECP.v19-3006\">http://dx.doi.org/10.1214/ECP.v19-3006</a>}, number={31}, journal={Electronic Communications in Probability}, publisher={Institute of Mathematical Statistics (IMS)}, author={Kolb, Martin and Savov, Mladen}, year={2014}, pages={1–9} }","apa":"Kolb, M., &#38; Savov, M. (2014). Exponential ergodicity of killed Lévy processes in a finite interval. <i>Electronic Communications in Probability</i>, <i>19</i>(31), 1–9. <a href=\"http://dx.doi.org/10.1214/ECP.v19-3006\">http://dx.doi.org/10.1214/ECP.v19-3006</a>","ieee":"M. Kolb and M. Savov, “Exponential ergodicity of killed Lévy processes in a finite interval,” <i>Electronic Communications in Probability</i>, vol. 19, no. 31, pp. 1–9, 2014, doi: <a href=\"http://dx.doi.org/10.1214/ECP.v19-3006\">http://dx.doi.org/10.1214/ECP.v19-3006</a>.","chicago":"Kolb, Martin, and Mladen Savov. “Exponential Ergodicity of Killed Lévy Processes in a Finite Interval.” <i>Electronic Communications in Probability</i> 19, no. 31 (2014): 1–9. <a href=\"http://dx.doi.org/10.1214/ECP.v19-3006\">http://dx.doi.org/10.1214/ECP.v19-3006</a>.","short":"M. Kolb, M. Savov, Electronic Communications in Probability 19 (2014) 1–9."},"page":"1-9","_id":"33361","publisher":"Institute of Mathematical Statistics (IMS)","user_id":"85821","volume":19,"status":"public","date_created":"2022-09-14T05:15:00Z","type":"journal_article","department":[{"_id":"96"}],"issue":"31","publication":"Electronic Communications in Probability","abstract":[{"text":"Following Bertoin who considered the ergodicity and exponential decay of Lévy processes in a finite domain, we consider general Lévy processes and their ergodicity and exponential decay in a finite interval. More precisely, given Ta=inf{t>0:Xt∉. Under general conditions, e.g. absolute continuity of the transition semigroup of the unkilled Lévy process, we prove that the killed semigroup is a compact operator. Thus, we prove stronger results in view of the exponential ergodicity and estimates of the speed of convergence. Our results are presented in a Lévy processes setting but are well applicable for Markov processes in a finite interval under information about Lebesgue irreducibility of the killed semigroup and that the killed process is a double Feller process. For example, this scheme is applicable to a work of Pistorius.<br />","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"http://dx.doi.org/10.1214/ECP.v19-3006","title":"Exponential ergodicity of killed Lévy processes in a finite interval","year":"2014","author":[{"full_name":"Kolb, Martin","last_name":"Kolb","first_name":"Martin","id":"48880"},{"first_name":"Mladen","last_name":"Savov","full_name":"Savov, Mladen"}],"publication_status":"published","date_updated":"2022-09-14T05:15:06Z","intvolume":"        19"},{"doi":"https://doi.org/10.4171/jst/69","language":[{"iso":"eng"}],"intvolume":"         4","publication_status":"published","date_updated":"2022-09-14T05:18:42Z","author":[{"full_name":"Kolb, Martin","last_name":"Kolb","first_name":"Martin","id":"48880"},{"last_name":"Krejčiřík","first_name":"David","full_name":"Krejčiřík, David"}],"title":"The Brownian traveller on manifolds","year":"2014","department":[{"_id":"96"}],"type":"journal_article","date_created":"2022-09-14T05:18:39Z","abstract":[{"text":"We study the influence of the intrinsic curvature on the large time behaviour of the heat equation in a tubular neighbourhood of an unbounded geodesic in a two-dimensional Riemannian manifold. Since we consider killing boundary conditions, there is always an exponential-type decay for the heat semigroup. We show that this exponential-type decay is slower for positively curved manifolds comparing to the flat case. As the main result, we establish a sharp extra polynomial-type decay for the heat semigroup on negatively curved manifolds comparing to the flat case. The proof employs the existence of Hardy-type inequalities for the Dirichlet Laplacian in the tubular neighbourhoods on negatively curved manifolds and the method of self-similar variables and weighted Sobolev spaces for the heat equation.","lang":"eng"}],"publication":"Journal of Spectral Theory","issue":"2","volume":4,"user_id":"85821","_id":"33362","publisher":"EMS Press","page":"235-281","status":"public","citation":{"apa":"Kolb, M., &#38; Krejčiřík, D. (2014). The Brownian traveller on manifolds. <i>Journal of Spectral Theory</i>, <i>4</i>(2), 235–281. <a href=\"https://doi.org/10.4171/jst/69\">https://doi.org/10.4171/jst/69</a>","ieee":"M. Kolb and D. Krejčiřík, “The Brownian traveller on manifolds,” <i>Journal of Spectral Theory</i>, vol. 4, no. 2, pp. 235–281, 2014, doi: <a href=\"https://doi.org/10.4171/jst/69\">https://doi.org/10.4171/jst/69</a>.","chicago":"Kolb, Martin, and David Krejčiřík. “The Brownian Traveller on Manifolds.” <i>Journal of Spectral Theory</i> 4, no. 2 (2014): 235–81. <a href=\"https://doi.org/10.4171/jst/69\">https://doi.org/10.4171/jst/69</a>.","short":"M. Kolb, D. Krejčiřík, Journal of Spectral Theory 4 (2014) 235–281.","mla":"Kolb, Martin, and David Krejčiřík. “The Brownian Traveller on Manifolds.” <i>Journal of Spectral Theory</i>, vol. 4, no. 2, EMS Press, 2014, pp. 235–81, doi:<a href=\"https://doi.org/10.4171/jst/69\">https://doi.org/10.4171/jst/69</a>.","ama":"Kolb M, Krejčiřík D. The Brownian traveller on manifolds. <i>Journal of Spectral Theory</i>. 2014;4(2):235-281. doi:<a href=\"https://doi.org/10.4171/jst/69\">https://doi.org/10.4171/jst/69</a>","bibtex":"@article{Kolb_Krejčiřík_2014, title={The Brownian traveller on manifolds}, volume={4}, DOI={<a href=\"https://doi.org/10.4171/jst/69\">https://doi.org/10.4171/jst/69</a>}, number={2}, journal={Journal of Spectral Theory}, publisher={EMS Press}, author={Kolb, Martin and Krejčiřík, David}, year={2014}, pages={235–281} }"}},{"publication":"Beiträge zum Mathematikunterricht 2014","department":[{"_id":"91"},{"_id":"97"}],"type":"conference","date_created":"2022-05-22T14:23:39Z","publication_status":"published","date_updated":"2024-02-19T06:19:20Z","author":[{"full_name":"Panse, Anja","last_name":"Panse","first_name":"Anja"},{"id":"220","first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim"},{"id":"32202","full_name":"Hoffmann, Max","first_name":"Max","last_name":"Hoffmann","orcid":"0000-0002-6964-7123"}],"year":"2014","title":"Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn","doi":"10.17877/DE290R-15591","language":[{"iso":"ger"}],"main_file_link":[{"open_access":"1","url":"https://eldorado.tu-dortmund.de/handle/2003/33279"}],"citation":{"apa":"Panse, A., Hilgert, J., &#38; Hoffmann, M. (2014). Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn. In J. Roth &#38; J. Ames (Eds.), <i>Beiträge zum Mathematikunterricht 2014</i> (pp. 883–886). WTM-Verlag. <a href=\"https://doi.org/10.17877/DE290R-15591\">https://doi.org/10.17877/DE290R-15591</a>","ieee":"A. Panse, J. Hilgert, and M. Hoffmann, “Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn,” in <i>Beiträge zum Mathematikunterricht 2014</i>, 2014, pp. 883–886, doi: <a href=\"https://doi.org/10.17877/DE290R-15591\">10.17877/DE290R-15591</a>.","chicago":"Panse, Anja, Joachim Hilgert, and Max Hoffmann. “Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn.” In <i>Beiträge zum Mathematikunterricht 2014</i>, edited by Jürgen Roth and Judith Ames, 883–886. Münster: WTM-Verlag, 2014. <a href=\"https://doi.org/10.17877/DE290R-15591\">https://doi.org/10.17877/DE290R-15591</a>.","short":"A. Panse, J. Hilgert, M. Hoffmann, in: J. Roth, J. Ames (Eds.), Beiträge zum Mathematikunterricht 2014, WTM-Verlag, Münster, 2014, pp. 883–886.","mla":"Panse, Anja, et al. “Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn.” <i>Beiträge zum Mathematikunterricht 2014</i>, edited by Jürgen Roth and Judith Ames, WTM-Verlag, 2014, pp. 883–886, doi:<a href=\"https://doi.org/10.17877/DE290R-15591\">10.17877/DE290R-15591</a>.","ama":"Panse A, Hilgert J, Hoffmann M. Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn. In: Roth J, Ames J, eds. <i>Beiträge zum Mathematikunterricht 2014</i>. WTM-Verlag; 2014:883–886. doi:<a href=\"https://doi.org/10.17877/DE290R-15591\">10.17877/DE290R-15591</a>","bibtex":"@inproceedings{Panse_Hilgert_Hoffmann_2014, place={Münster}, title={Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn}, DOI={<a href=\"https://doi.org/10.17877/DE290R-15591\">10.17877/DE290R-15591</a>}, booktitle={Beiträge zum Mathematikunterricht 2014}, publisher={WTM-Verlag}, author={Panse, Anja and Hilgert, Joachim and Hoffmann, Max}, editor={Roth, Jürgen and Ames, Judith}, year={2014}, pages={883–886} }"},"oa":"1","place":"Münster","status":"public","editor":[{"last_name":"Roth","first_name":"Jürgen","full_name":"Roth, Jürgen"},{"full_name":"Ames, Judith","first_name":"Judith","last_name":"Ames"}],"user_id":"49063","_id":"31369","publisher":"WTM-Verlag","page":"883–886"},{"publication":"J. Math. Soc. Japan","citation":{"chicago":"Hilgert, Joachim, J. Möllers, and T. 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Japan</i>, vol. 66, 2014, pp. 349–414."},"type":"journal_article","department":[{"_id":"91"}],"date_created":"2024-02-19T06:52:36Z","date_updated":"2024-02-19T06:54:42Z","publication_status":"published","intvolume":"        66","status":"public","title":"Minimal representations via Bessel operators","year":"2014","author":[{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"},{"full_name":"Möllers, J.","last_name":"Möllers","first_name":"J."},{"last_name":"Kobayashi","first_name":"T.","full_name":"Kobayashi, T."}],"user_id":"49063","volume":66,"page":"349-414","_id":"51394","language":[{"iso":"eng"}]},{"user_id":"49063","volume":278,"page":"441-492","_id":"51393","language":[{"iso":"eng"}],"date_updated":"2024-02-19T06:54:42Z","publication_status":"published","intvolume":"       278","status":"public","title":"Singular superspaces","year":"2014","author":[{"last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220"},{"last_name":"Wurzbacher","first_name":"T.","full_name":"Wurzbacher, T."},{"first_name":"A.","last_name":"Alldridge","full_name":"Alldridge, A."}],"type":"journal_article","department":[{"_id":"91"}],"date_created":"2024-02-19T06:51:21Z","publication":"Math. 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