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Black, “Boundedness in a Keller–Segel system with external signal production,” <i>Journal of Mathematical Analysis and Applications</i>, vol. 446, no. 1, pp. 436–455, 2016, doi: <a href=\"https://doi.org/10.1016/j.jmaa.2016.08.049\">10.1016/j.jmaa.2016.08.049</a>.","apa":"Black, T. (2016). Boundedness in a Keller–Segel system with external signal production. <i>Journal of Mathematical Analysis and Applications</i>, <i>446</i>(1), 436–455. <a href=\"https://doi.org/10.1016/j.jmaa.2016.08.049\">https://doi.org/10.1016/j.jmaa.2016.08.049</a>"}},{"status":"public","_id":"34659","publisher":"IOP Publishing","page":"1865-1886","volume":29,"user_id":"23686","citation":{"mla":"Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under Influence of an External Chemoattractant.” <i>Nonlinearity</i>, vol. 29, no. 6, IOP Publishing, 2016, pp. 1865–86, doi:<a href=\"https://doi.org/10.1088/0951-7715/29/6/1865\">10.1088/0951-7715/29/6/1865</a>.","ama":"Black T. Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant. <i>Nonlinearity</i>. 2016;29(6):1865-1886. doi:<a href=\"https://doi.org/10.1088/0951-7715/29/6/1865\">10.1088/0951-7715/29/6/1865</a>","bibtex":"@article{Black_2016, title={Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant}, volume={29}, DOI={<a href=\"https://doi.org/10.1088/0951-7715/29/6/1865\">10.1088/0951-7715/29/6/1865</a>}, number={6}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Black, Tobias}, year={2016}, pages={1865–1886} }","apa":"Black, T. (2016). Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant. <i>Nonlinearity</i>, <i>29</i>(6), 1865–1886. <a href=\"https://doi.org/10.1088/0951-7715/29/6/1865\">https://doi.org/10.1088/0951-7715/29/6/1865</a>","ieee":"T. Black, “Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant,” <i>Nonlinearity</i>, vol. 29, no. 6, pp. 1865–1886, 2016, doi: <a href=\"https://doi.org/10.1088/0951-7715/29/6/1865\">10.1088/0951-7715/29/6/1865</a>.","short":"T. Black, Nonlinearity 29 (2016) 1865–1886.","chicago":"Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under Influence of an External Chemoattractant.” <i>Nonlinearity</i> 29, no. 6 (2016): 1865–86. <a href=\"https://doi.org/10.1088/0951-7715/29/6/1865\">https://doi.org/10.1088/0951-7715/29/6/1865</a>."},"publication_identifier":{"issn":["0951-7715","1361-6544"]},"author":[{"last_name":"Black","orcid":"0000-0001-9963-0800","first_name":"Tobias","full_name":"Black, Tobias","id":"23686"}],"year":"2016","title":"Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant","intvolume":"        29","publication_status":"published","date_updated":"2022-12-21T10:05:45Z","language":[{"iso":"eng"}],"doi":"10.1088/0951-7715/29/6/1865","issue":"6","publication":"Nonlinearity","date_created":"2022-12-21T09:46:00Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"type":"journal_article"},{"status":"public","user_id":"23686","volume":31,"page":"593-609","_id":"34661","publisher":"Elsevier BV","citation":{"ama":"Black T. Sublinear signal production in a two-dimensional Keller–Segel–Stokes system. <i>Nonlinear Analysis: Real World Applications</i>. 2016;31:593-609. doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2016.03.008\">10.1016/j.nonrwa.2016.03.008</a>","bibtex":"@article{Black_2016, title={Sublinear signal production in a two-dimensional Keller–Segel–Stokes system}, volume={31}, DOI={<a href=\"https://doi.org/10.1016/j.nonrwa.2016.03.008\">10.1016/j.nonrwa.2016.03.008</a>}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Black, Tobias}, year={2016}, pages={593–609} }","mla":"Black, Tobias. “Sublinear Signal Production in a Two-Dimensional Keller–Segel–Stokes System.” <i>Nonlinear Analysis: Real World Applications</i>, vol. 31, Elsevier BV, 2016, pp. 593–609, doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2016.03.008\">10.1016/j.nonrwa.2016.03.008</a>.","chicago":"Black, Tobias. “Sublinear Signal Production in a Two-Dimensional Keller–Segel–Stokes System.” <i>Nonlinear Analysis: Real World Applications</i> 31 (2016): 593–609. <a href=\"https://doi.org/10.1016/j.nonrwa.2016.03.008\">https://doi.org/10.1016/j.nonrwa.2016.03.008</a>.","short":"T. Black, Nonlinear Analysis: Real World Applications 31 (2016) 593–609.","apa":"Black, T. (2016). Sublinear signal production in a two-dimensional Keller–Segel–Stokes system. <i>Nonlinear Analysis: Real World Applications</i>, <i>31</i>, 593–609. <a href=\"https://doi.org/10.1016/j.nonrwa.2016.03.008\">https://doi.org/10.1016/j.nonrwa.2016.03.008</a>","ieee":"T. Black, “Sublinear signal production in a two-dimensional Keller–Segel–Stokes system,” <i>Nonlinear Analysis: Real World Applications</i>, vol. 31, pp. 593–609, 2016, doi: <a href=\"https://doi.org/10.1016/j.nonrwa.2016.03.008\">10.1016/j.nonrwa.2016.03.008</a>."},"publication_status":"published","date_updated":"2022-12-21T10:05:52Z","intvolume":"        31","year":"2016","title":"Sublinear signal production in a two-dimensional Keller–Segel–Stokes system","author":[{"full_name":"Black, Tobias","last_name":"Black","first_name":"Tobias","orcid":"0000-0001-9963-0800","id":"23686"}],"publication_identifier":{"issn":["1468-1218"]},"doi":"10.1016/j.nonrwa.2016.03.008","language":[{"iso":"eng"}],"publication":"Nonlinear Analysis: Real World Applications","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Economics","Econometrics and Finance","General Engineering","General Medicine","Analysis"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2022-12-21T09:46:31Z"},{"volume":26,"user_id":"15694","doi":"10.1016/j.protcy.2016.08.059","_id":"8758","language":[{"iso":"eng"}],"page":"465-472","intvolume":"        26","publication_status":"published","date_updated":"2022-01-21T14:10:10Z","author":[{"full_name":"Eckstein, Julian","last_name":"Eckstein","first_name":"Julian"},{"full_name":"Peitz, Sebastian","first_name":"Sebastian","last_name":"Peitz","orcid":"https://orcid.org/0000-0002-3389-793X","id":"47427"},{"last_name":"Schäfer","first_name":"Kai","full_name":"Schäfer, Kai"},{"first_name":"Patrick","last_name":"Friedel","full_name":"Friedel, Patrick"},{"full_name":"Köhler, Ulrich","first_name":"Ulrich","last_name":"Köhler"},{"first_name":"Mirko ","last_name":"Hessel von Molo","full_name":"Hessel von Molo, Mirko "},{"full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina","id":"16494"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"}],"publication_identifier":{"issn":["2212-0173"]},"status":"public","title":"A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles","year":"2016","department":[{"_id":"101"}],"type":"conference","date_created":"2019-03-29T13:35:25Z","abstract":[{"lang":"eng","text":"In this contribution we compare two different approaches to the implementation of a Model Predictive Controller in an electric vehicle with respect to the quality of the solution and real-time applicability. The goal is to develop an intelligent cruise control in order to extend the vehicle range, i.e. to minimize energy consumption, by computing the optimal torque profile for a given track. On the one hand, a path-based linear model with strong simplifications regarding the vehicle dynamics is used. On the other hand, a nonlinear model is employed in which the dynamics of the mechanical and electrical subsystem are modeled."}],"citation":{"apa":"Eckstein, J., Peitz, S., Schäfer, K., Friedel, P., Köhler, U., Hessel von Molo, M., Ober-Blöbaum, S., &#38; Dellnitz, M. (2016). A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles. <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>, <i>26</i>, 465–472. <a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">https://doi.org/10.1016/j.protcy.2016.08.059</a>","ieee":"J. Eckstein <i>et al.</i>, “A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles,” in <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>, 2016, vol. 26, pp. 465–472, doi: <a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">10.1016/j.protcy.2016.08.059</a>.","chicago":"Eckstein, Julian, Sebastian Peitz, Kai Schäfer, Patrick Friedel, Ulrich Köhler, Mirko  Hessel von Molo, Sina Ober-Blöbaum, and Michael Dellnitz. “A Comparison of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles.” In <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>, 26:465–72, 2016. <a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">https://doi.org/10.1016/j.protcy.2016.08.059</a>.","short":"J. Eckstein, S. Peitz, K. Schäfer, P. Friedel, U. Köhler, M. Hessel von Molo, S. Ober-Blöbaum, M. Dellnitz, in: Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 2016, pp. 465–472.","mla":"Eckstein, Julian, et al. “A Comparison of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles.” <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>, vol. 26, 2016, pp. 465–72, doi:<a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">10.1016/j.protcy.2016.08.059</a>.","ama":"Eckstein J, Peitz S, Schäfer K, et al. A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles. In: <i>Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering</i>. Vol 26. ; 2016:465-472. doi:<a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">10.1016/j.protcy.2016.08.059</a>","bibtex":"@inproceedings{Eckstein_Peitz_Schäfer_Friedel_Köhler_Hessel von Molo_Ober-Blöbaum_Dellnitz_2016, title={A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles}, volume={26}, DOI={<a href=\"https://doi.org/10.1016/j.protcy.2016.08.059\">10.1016/j.protcy.2016.08.059</a>}, booktitle={Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering}, author={Eckstein, Julian and Peitz, Sebastian and Schäfer, Kai and Friedel, Patrick and Köhler, Ulrich and Hessel von Molo, Mirko  and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2016}, pages={465–472} }"},"publication":"Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering"},{"type":"conference","department":[{"_id":"636"}],"date_created":"2022-01-19T10:37:22Z","publication":"ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering","citation":{"bibtex":"@inproceedings{Wenger_Ober-Blöbaum_Leyendecker_2016, title={Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials}, booktitle={ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering}, author={Wenger, T. and Ober-Blöbaum, Sina and Leyendecker, S. }, year={2016}, pages={1818–1831} }","ama":"Wenger T, Ober-Blöbaum S, Leyendecker S. Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials. In: <i>ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering</i>. ; 2016:1818-1831.","mla":"Wenger, T., et al. “Variational Integrators of Mixed Order for Dynamical Systems with Multiple Time Scales and Split Potentials.” <i>ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering</i>, 2016, pp. 1818–31.","chicago":"Wenger, T., Sina Ober-Blöbaum, and S.  Leyendecker. “Variational Integrators of Mixed Order for Dynamical Systems with Multiple Time Scales and Split Potentials.” In <i>ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering</i>, 1818–31, 2016.","short":"T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.","ieee":"T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials,” in <i>ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering</i>, 2016, pp. 1818–1831.","apa":"Wenger, T., Ober-Blöbaum, S., &#38; Leyendecker, S. (2016). Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials. <i>ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering</i>, 1818–1831."},"user_id":"15694","page":"1818-1831","_id":"29435","language":[{"iso":"eng"}],"date_updated":"2022-01-21T14:12:34Z","year":"2016","status":"public","title":"Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials","author":[{"last_name":"Wenger","first_name":"T.","full_name":"Wenger, T."},{"last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"first_name":"S. ","last_name":"Leyendecker","full_name":"Leyendecker, S. "}],"conference":{"start_date":"2016-06-05","end_date":"2016-06-10"}},{"date_updated":"2022-01-21T14:04:42Z","status":"public","year":"2016","title":"Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods","author":[{"first_name":"T.","last_name":"Wenger","full_name":"Wenger, T."},{"id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"},{"last_name":"Leyendecker","first_name":"S. ","full_name":"Leyendecker, S. "}],"conference":{"end_date":"2016-09-25","start_date":"2016-09-19"},"user_id":"15694","_id":"29432","language":[{"iso":"eng"}],"publication":"International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)","citation":{"mla":"Wenger, T., et al. “Constrained Galerkin Variational Integrators and Modified Constrained Symplectic Runge-Kutta Methods.” <i>International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)</i>, 2016.","ama":"Wenger T, Ober-Blöbaum S, Leyendecker S. Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods. In: <i>International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)</i>. ; 2016.","bibtex":"@inproceedings{Wenger_Ober-Blöbaum_Leyendecker_2016, title={Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods}, booktitle={International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)}, author={Wenger, T. and Ober-Blöbaum, Sina and Leyendecker, S. }, year={2016} }","apa":"Wenger, T., Ober-Blöbaum, S., &#38; Leyendecker, S. (2016). Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods. <i>International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)</i>.","ieee":"T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods,” 2016.","short":"T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.","chicago":"Wenger, T., Sina Ober-Blöbaum, and S.  Leyendecker. “Constrained Galerkin Variational Integrators and Modified Constrained Symplectic Runge-Kutta Methods.” In <i>International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)</i>, 2016."},"type":"conference","department":[{"_id":"636"}],"date_created":"2022-01-19T10:13:21Z"},{"date_updated":"2022-01-21T14:05:53Z","status":"public","title":"Reduced order model based multiobjective optimal control of fluids","year":"2016","author":[{"id":"47427","full_name":"Peitz, Sebastian","last_name":"Peitz","first_name":"Sebastian","orcid":"0000-0002-3389-793X"},{"last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"first_name":"M.","last_name":"Dellnitz","full_name":"Dellnitz, M."}],"conference":{"end_date":"2016-08-26","start_date":"2016-08-21"},"user_id":"15694","language":[{"iso":"eng"}],"_id":"29433","publication":"Proceedings of International Congress of Theoretical and Applied Mechanics","citation":{"apa":"Peitz, S., Ober-Blöbaum, S., &#38; Dellnitz, M. (2016). Reduced order model based multiobjective optimal control of fluids. <i>Proceedings of International Congress of Theoretical and Applied Mechanics</i>.","ieee":"S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Reduced order model based multiobjective optimal control of fluids,” 2016.","short":"S. Peitz, S. Ober-Blöbaum, M. Dellnitz, in: Proceedings of International Congress of Theoretical and Applied Mechanics, 2016.","chicago":"Peitz, Sebastian, Sina Ober-Blöbaum, and M. Dellnitz. “Reduced Order Model Based Multiobjective Optimal Control of Fluids.” In <i>Proceedings of International Congress of Theoretical and Applied Mechanics</i>, 2016.","mla":"Peitz, Sebastian, et al. “Reduced Order Model Based Multiobjective Optimal Control of Fluids.” <i>Proceedings of International Congress of Theoretical and Applied Mechanics</i>, 2016.","ama":"Peitz S, Ober-Blöbaum S, Dellnitz M. Reduced order model based multiobjective optimal control of fluids. In: <i>Proceedings of International Congress of Theoretical and Applied Mechanics</i>. ; 2016.","bibtex":"@inproceedings{Peitz_Ober-Blöbaum_Dellnitz_2016, title={Reduced order model based multiobjective optimal control of fluids}, booktitle={Proceedings of International Congress of Theoretical and Applied Mechanics}, author={Peitz, Sebastian and Ober-Blöbaum, Sina and Dellnitz, M.}, year={2016} }"},"type":"conference","department":[{"_id":"636"}],"date_created":"2022-01-19T10:17:09Z"},{"date_updated":"2022-01-21T14:14:00Z","author":[{"full_name":"Stellato, B. ","first_name":"B. ","last_name":"Stellato"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum"},{"last_name":"Goulart","first_name":"P.J. ","full_name":"Goulart, P.J. "}],"year":"2016","title":"Optimal control of switching times in switched linear systems","status":"public","user_id":"15694","language":[{"iso":"eng"}],"_id":"29436","page":"7228-7233","citation":{"bibtex":"@inproceedings{Stellato_Ober-Blöbaum_Goulart_2016, title={Optimal control of switching times in switched linear systems}, booktitle={2016 IEEE 55th Conference on Decision and Control (CDC)}, author={Stellato, B.  and Ober-Blöbaum, Sina and Goulart, P.J. }, year={2016}, pages={7228–7233} }","ama":"Stellato B, Ober-Blöbaum S, Goulart PJ. Optimal control of switching times in switched linear systems. In: <i>2016 IEEE 55th Conference on Decision and Control (CDC)</i>. ; 2016:7228-7233.","short":"B. Stellato, S. Ober-Blöbaum, P.J. Goulart, in: 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.","chicago":"Stellato, B. , Sina Ober-Blöbaum, and P.J.  Goulart. “Optimal Control of Switching Times in Switched Linear Systems.” In <i>2016 IEEE 55th Conference on Decision and Control (CDC)</i>, 7228–33, 2016.","ieee":"B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Optimal control of switching times in switched linear systems,” in <i>2016 IEEE 55th Conference on Decision and Control (CDC)</i>, 2016, pp. 7228–7233.","mla":"Stellato, B., et al. “Optimal Control of Switching Times in Switched Linear Systems.” <i>2016 IEEE 55th Conference on Decision and Control (CDC)</i>, 2016, pp. 7228–33.","apa":"Stellato, B., Ober-Blöbaum, S., &#38; Goulart, P. J. (2016). Optimal control of switching times in switched linear systems. <i>2016 IEEE 55th Conference on Decision and Control (CDC)</i>, 7228–7233."},"publication":"2016 IEEE 55th Conference on Decision and Control (CDC)","department":[{"_id":"636"}],"type":"conference","date_created":"2022-01-19T10:41:04Z"},{"date_created":"2022-05-17T12:18:22Z","type":"journal_article","keyword":["Geometry and Topology","Mathematical Physics","Statistical and Nonlinear Physics"],"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"issue":"2","publication":"Journal of Spectral Theory","language":[{"iso":"eng"}],"doi":"10.4171/jst/125","year":"2016","title":"Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions","author":[{"full_name":"Borthwick, David","first_name":"David","last_name":"Borthwick"},{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"}],"publication_identifier":{"issn":["1664-039X"]},"publication_status":"published","date_updated":"2022-05-19T10:15:17Z","intvolume":"         6","external_id":{"arxiv":["1407.6134 "]},"citation":{"mla":"Borthwick, David, and Tobias Weich. “Symmetry Reduction of Holomorphic Iterated Function Schemes and Factorization of Selberg Zeta Functions.” <i>Journal of Spectral Theory</i>, vol. 6, no. 2, European Mathematical Society - EMS - Publishing House GmbH, 2016, pp. 267–329, doi:<a href=\"https://doi.org/10.4171/jst/125\">10.4171/jst/125</a>.","ama":"Borthwick D, Weich T. Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. <i>Journal of Spectral Theory</i>. 2016;6(2):267-329. doi:<a href=\"https://doi.org/10.4171/jst/125\">10.4171/jst/125</a>","bibtex":"@article{Borthwick_Weich_2016, title={Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions}, volume={6}, DOI={<a href=\"https://doi.org/10.4171/jst/125\">10.4171/jst/125</a>}, number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Borthwick, David and Weich, Tobias}, year={2016}, pages={267–329} }","apa":"Borthwick, D., &#38; Weich, T. (2016). Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. <i>Journal of Spectral Theory</i>, <i>6</i>(2), 267–329. <a href=\"https://doi.org/10.4171/jst/125\">https://doi.org/10.4171/jst/125</a>","ieee":"D. Borthwick and T. Weich, “Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions,” <i>Journal of Spectral Theory</i>, vol. 6, no. 2, pp. 267–329, 2016, doi: <a href=\"https://doi.org/10.4171/jst/125\">10.4171/jst/125</a>.","short":"D. Borthwick, T. Weich, Journal of Spectral Theory 6 (2016) 267–329.","chicago":"Borthwick, David, and Tobias Weich. “Symmetry Reduction of Holomorphic Iterated Function Schemes and Factorization of Selberg Zeta Functions.” <i>Journal of Spectral Theory</i> 6, no. 2 (2016): 267–329. <a href=\"https://doi.org/10.4171/jst/125\">https://doi.org/10.4171/jst/125</a>."},"page":"267-329","publisher":"European Mathematical Society - EMS - Publishing House GmbH","_id":"31274","user_id":"49178","volume":6,"status":"public"},{"language":[{"iso":"eng"}],"doi":"10.1007/s00023-016-0514-5","year":"2016","title":"On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows","publication_identifier":{"issn":["1424-0637","1424-0661"]},"author":[{"id":"49178","full_name":"Weich, Tobias","first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919"}],"publication_status":"published","date_updated":"2022-05-19T10:15:36Z","intvolume":"        18","date_created":"2022-05-17T12:53:51Z","keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"issue":"1","publication":"Annales Henri Poincaré","page":"37-52","publisher":"Springer Science and Business Media LLC","_id":"31289","user_id":"49178","volume":18,"status":"public","external_id":{"arxiv":["1511.08338"]},"citation":{"apa":"Weich, T. (2016). On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. <i>Annales Henri Poincaré</i>, <i>18</i>(1), 37–52. <a href=\"https://doi.org/10.1007/s00023-016-0514-5\">https://doi.org/10.1007/s00023-016-0514-5</a>","ieee":"T. Weich, “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows,” <i>Annales Henri Poincaré</i>, vol. 18, no. 1, pp. 37–52, 2016, doi: <a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>.","short":"T. Weich, Annales Henri Poincaré 18 (2016) 37–52.","chicago":"Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.” <i>Annales Henri Poincaré</i> 18, no. 1 (2016): 37–52. <a href=\"https://doi.org/10.1007/s00023-016-0514-5\">https://doi.org/10.1007/s00023-016-0514-5</a>.","mla":"Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.” <i>Annales Henri Poincaré</i>, vol. 18, no. 1, Springer Science and Business Media LLC, 2016, pp. 37–52, doi:<a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>.","ama":"Weich T. On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. <i>Annales Henri Poincaré</i>. 2016;18(1):37-52. doi:<a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>","bibtex":"@article{Weich_2016, title={On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows}, volume={18}, DOI={<a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>}, number={1}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Weich, Tobias}, year={2016}, pages={37–52} }"}},{"intvolume":"       284","date_updated":"2022-09-13T07:56:59Z","publication_status":"published","author":[{"id":"48880","full_name":"Kolb, Martin","first_name":"Martin","last_name":"Kolb"},{"full_name":"Krejčiřík, David","last_name":"Krejčiřík","first_name":"David"}],"title":"Spectral analysis of the diffusion operator with random jumps from the boundary","year":"2016","status":"public","volume":284,"doi":"https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf","user_id":"85821","language":[{"iso":"eng"}],"_id":"33343","publisher":"Springer","page":"877-900","abstract":[{"text":"Using an operator-theoretic framework in a Hilbert-space setting, we perform a\r\ndetailed spectral analysis of the one-dimensional Laplacian in a bounded interval, subject to\r\nspecific non-self-adjoint connected boundary conditions modelling a random jump from the\r\nboundary to a point inside the interval. In accordance with previous works, we find that all the\r\neigenvalues are real. As the new results, we derive and analyse the adjoint operator, determine\r\nthe geometric and algebraic multiplicities of the eigenvalues, write down formulae for the\r\neigenfunctions together with the generalised eigenfunctions and study their basis properties.\r\nIt turns out that the latter heavily depend on whether the distance of the interior point to the\r\ncentre of the interval divided by the length of the interval is rational or irrational. Finally,\r\nwe find a closed formula for the metric operator that provides a similarity transform of the\r\nproblem to a self-adjoint operator.","lang":"eng"}],"citation":{"mla":"Kolb, Martin, and David Krejčiřík. “Spectral Analysis of the Diffusion Operator with Random Jumps from the Boundary.” <i>Mathematische Zeitschrift</i>, vol. 284, Springer, 2016, pp. 877–900, doi:<a href=\"https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf\">https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf</a>.","ama":"Kolb M, Krejčiřík D. Spectral analysis of the diffusion operator with random jumps from the boundary. <i>Mathematische Zeitschrift</i>. 2016;284:877-900. doi:<a href=\"https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf\">https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf</a>","bibtex":"@article{Kolb_Krejčiřík_2016, title={Spectral analysis of the diffusion operator with random jumps from the boundary}, volume={284}, DOI={<a href=\"https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf\">https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf</a>}, journal={Mathematische Zeitschrift}, publisher={Springer}, author={Kolb, Martin and Krejčiřík, David}, year={2016}, pages={877–900} }","apa":"Kolb, M., &#38; Krejčiřík, D. (2016). Spectral analysis of the diffusion operator with random jumps from the boundary. <i>Mathematische Zeitschrift</i>, <i>284</i>, 877–900. <a href=\"https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf\">https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf</a>","ieee":"M. Kolb and D. Krejčiřík, “Spectral analysis of the diffusion operator with random jumps from the boundary,” <i>Mathematische Zeitschrift</i>, vol. 284, pp. 877–900, 2016, doi: <a href=\"https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf\">https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf</a>.","chicago":"Kolb, Martin, and David Krejčiřík. “Spectral Analysis of the Diffusion Operator with Random Jumps from the Boundary.” <i>Mathematische Zeitschrift</i> 284 (2016): 877–900. <a href=\"https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf\">https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf</a>.","short":"M. Kolb, D. Krejčiřík, Mathematische Zeitschrift 284 (2016) 877–900."},"publication":"Mathematische Zeitschrift","department":[{"_id":"96"}],"type":"journal_article","date_created":"2022-09-13T07:56:56Z"},{"_id":"33357","language":[{"iso":"eng"}],"publisher":"Institute of Mathematical Statistics","volume":44,"doi":"http://dx.doi.org/10.1214/15-AOP1069","user_id":"85821","author":[{"full_name":"Kolb, Martin","last_name":"Kolb","first_name":"Martin","id":"48880"},{"last_name":"Savov","first_name":"Mladen","full_name":"Savov, Mladen"}],"title":"Transience and recurrence of a Brownian path with limited local time","year":"2016","status":"public","intvolume":"        44","date_updated":"2022-09-14T04:22:26Z","publication_status":"published","date_created":"2022-09-14T04:22:23Z","department":[{"_id":"96"}],"type":"journal_article","citation":{"apa":"Kolb, M., &#38; Savov, M. (2016). Transience and recurrence of a Brownian path with limited local time. <i>The Annals of Probability</i>, <i>44</i>(6). <a href=\"http://dx.doi.org/10.1214/15-AOP1069\">http://dx.doi.org/10.1214/15-AOP1069</a>","ieee":"M. Kolb and M. Savov, “Transience and recurrence of a Brownian path with limited local time,” <i>The Annals of Probability</i>, vol. 44, no. 6, 2016, doi: <a href=\"http://dx.doi.org/10.1214/15-AOP1069\">http://dx.doi.org/10.1214/15-AOP1069</a>.","chicago":"Kolb, Martin, and Mladen Savov. “Transience and Recurrence of a Brownian Path with Limited Local Time.” <i>The Annals of Probability</i> 44, no. 6 (2016). <a href=\"http://dx.doi.org/10.1214/15-AOP1069\">http://dx.doi.org/10.1214/15-AOP1069</a>.","short":"M. Kolb, M. Savov, The Annals of Probability 44 (2016).","mla":"Kolb, Martin, and Mladen Savov. “Transience and Recurrence of a Brownian Path with Limited Local Time.” <i>The Annals of Probability</i>, vol. 44, no. 6, Institute of Mathematical Statistics, 2016, doi:<a href=\"http://dx.doi.org/10.1214/15-AOP1069\">http://dx.doi.org/10.1214/15-AOP1069</a>.","ama":"Kolb M, Savov M. Transience and recurrence of a Brownian path with limited local time. <i>The Annals of Probability</i>. 2016;44(6). doi:<a href=\"http://dx.doi.org/10.1214/15-AOP1069\">http://dx.doi.org/10.1214/15-AOP1069</a>","bibtex":"@article{Kolb_Savov_2016, title={Transience and recurrence of a Brownian path with limited local time}, volume={44}, DOI={<a href=\"http://dx.doi.org/10.1214/15-AOP1069\">http://dx.doi.org/10.1214/15-AOP1069</a>}, number={6}, journal={The Annals of Probability}, publisher={Institute of Mathematical Statistics}, author={Kolb, Martin and Savov, Mladen}, year={2016} }"},"publication":"The Annals of Probability","issue":"6","abstract":[{"text":"In this note we investigate the behaviour of Brownian motion conditioned on a growth constraint of its local time which has been previously investigated by Berestycki and Benjamini. For a class of non-decreasing positive functions f(t);t>0, we consider the Wiener measure under the condition that the Brownian local time is dominated by the function f up to time T. In the case where f(t)/t3/2 is integrable we describe the limiting process as T goes to infinity. Moreover, we prove two conjectures in [BB10] in the case for a class of functions f, for which f(t)/t3/2 just fails to be integrable. Our methodology is more general as it relies on the study of the asymptotic of the probability of subordinators to stay above a given curve. Immediately or with adaptations one can study questions like the Brownian motioned conditioned on a growth constraint of its local time at the maximum or more generally a Levy process conditioned on a growth constraint of its local time at the maximum or at zero. We discuss briefly the former. ","lang":"eng"}]}]