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Performance management and work engagement – New evidence using longitudinal data. <i>Management Accounting Research</i>, <i>64</i>, Article 100867. <a href=\"https://doi.org/10.1016/j.mar.2023.100867\">https://doi.org/10.1016/j.mar.2023.100867</a>","chicago":"Ehmann, Stefanie, Patrick Kampkötter, Patrick Maier, and Philip Yang. “Performance Management and Work Engagement – New Evidence Using Longitudinal Data.” <i>Management Accounting Research</i> 64 (2023). <a href=\"https://doi.org/10.1016/j.mar.2023.100867\">https://doi.org/10.1016/j.mar.2023.100867</a>.","ieee":"S. Ehmann, P. Kampkötter, P. Maier, and P. Yang, “Performance management and work engagement – New evidence using longitudinal data,” <i>Management Accounting Research</i>, vol. 64, Art. no. 100867, 2023, doi: <a href=\"https://doi.org/10.1016/j.mar.2023.100867\">10.1016/j.mar.2023.100867</a>.","ama":"Ehmann S, Kampkötter P, Maier P, Yang P. 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(2023). Zermelo navigation problems on surfaces of revolution and geometric optimal control. <i>ESAIM: Control, Optimisation and Calculus of Variations</i>, <i>29</i>, Article 60. <a href=\"https://doi.org/10.1051/cocv/2023052\">https://doi.org/10.1051/cocv/2023052</a>","bibtex":"@article{Bonnard_Cots_Wembe_2023, title={Zermelo navigation problems on surfaces of revolution and geometric optimal control}, volume={29}, DOI={<a href=\"https://doi.org/10.1051/cocv/2023052\">10.1051/cocv/2023052</a>}, number={60}, journal={ESAIM: Control, Optimisation and Calculus of Variations}, publisher={EDP Sciences}, author={Bonnard, Bernard and Cots, Olivier and Wembe, Boris}, year={2023} }","mla":"Bonnard, Bernard, et al. “Zermelo Navigation Problems on Surfaces of Revolution and Geometric Optimal Control.” <i>ESAIM: Control, Optimisation and Calculus of Variations</i>, vol. 29, 60, EDP Sciences, 2023, doi:<a href=\"https://doi.org/10.1051/cocv/2023052\">10.1051/cocv/2023052</a>.","short":"B. Bonnard, O. Cots, B. Wembe, ESAIM: Control, Optimisation and Calculus of Variations 29 (2023).","ama":"Bonnard B, Cots O, Wembe B. Zermelo navigation problems on surfaces of revolution and geometric optimal control. <i>ESAIM: Control, Optimisation and Calculus of Variations</i>. 2023;29. doi:<a href=\"https://doi.org/10.1051/cocv/2023052\">10.1051/cocv/2023052</a>","ieee":"B. Bonnard, O. Cots, and B. Wembe, “Zermelo navigation problems on surfaces of revolution and geometric optimal control,” <i>ESAIM: Control, Optimisation and Calculus of Variations</i>, vol. 29, Art. no. 60, 2023, doi: <a href=\"https://doi.org/10.1051/cocv/2023052\">10.1051/cocv/2023052</a>.","chicago":"Bonnard, Bernard, Olivier Cots, and Boris Wembe. “Zermelo Navigation Problems on Surfaces of Revolution and Geometric Optimal Control.” <i>ESAIM: Control, Optimisation and Calculus of Variations</i> 29 (2023). <a href=\"https://doi.org/10.1051/cocv/2023052\">https://doi.org/10.1051/cocv/2023052</a>."},"_id":"59506","user_id":"95394","article_number":"60","language":[{"iso":"eng"}],"publication":"ESAIM: Control, Optimisation and Calculus of Variations","type":"journal_article","abstract":[{"lang":"eng","text":"<jats:p>In this article, the historical study from Carathéodory-Zermelo about computing the quickest nautical path is generalized to Zermelo navigation problems on surfaces of revolution, in the frame of geometric optimal control. Using the Maximum Principle, we present two methods dedicated to analyzing the geodesic flow and to compute the conjugate and cut loci. We apply these calculations to investigate case studies related to applications in hydrodynamics, space mechanics and geometry.</jats:p>"}],"status":"public"},{"author":[{"first_name":"Oliver","last_name":"Reis","id":"55567","full_name":"Reis, Oliver"},{"full_name":"Büttner, Gerhard ","last_name":"Büttner","first_name":"Gerhard "}],"date_created":"2025-04-16T07:14:49Z","volume":14,"date_updated":"2025-04-23T12:04:45Z","title":"Schule spielen - die Ausbildung von Lehrkräften mithilfe von und als Simulation","citation":{"chicago":"Reis, Oliver, and Gerhard  Büttner. “Schule spielen - die Ausbildung von Lehrkräften mithilfe von und als Simulation.” In <i>Religion lernen. Jahrbuch für konstruktivistische Religionsdidaktik</i>, edited by Oliver Reis, Norbert Brieden, Hans Mendl, and Hanna Roose, 14:122–37. 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Jahrbuch für konstruktivistische Religionsdidaktik}, author={Reis, Oliver and Maurer, Kristina}, editor={Reis, Oliver and Brieden, Norbert and Mendl, Hans and Roose, Hanna}, year={2023}, pages={107–121}, collection={ Religionsunterricht und seine Rahmungen } }","short":"O. Reis, K. Maurer, in: O. Reis, N. Brieden, H. Mendl, H. Roose (Eds.), Religion lernen. Jahrbuch für konstruktivistische Religionsdidaktik, Babenhausen, 2023, pp. 107–121.","ama":"Reis O, Maurer K. Die Kunst des Störens - eine komplexe Rekonstruktion pragmatischer Rahmungen . In: Reis O, Brieden N, Mendl H, Roose H, eds. <i>Religion lernen. Jahrbuch für konstruktivistische Religionsdidaktik</i>. Vol 14.  Religionsunterricht und seine Rahmungen . ; 2023:107-121.","ieee":"O. Reis and K. Maurer, “Die Kunst des Störens - eine komplexe Rekonstruktion pragmatischer Rahmungen ,” in <i>Religion lernen. Jahrbuch für konstruktivistische Religionsdidaktik</i>, vol. 14, O. Reis, N. Brieden, H. Mendl, and H. Roose, Eds. Babenhausen, 2023, pp. 107–121.","chicago":"Reis, Oliver, and Kristina Maurer. “Die Kunst des Störens - eine komplexe Rekonstruktion pragmatischer Rahmungen .” In <i>Religion lernen. Jahrbuch für konstruktivistische Religionsdidaktik</i>, edited by Oliver Reis, Norbert Brieden, Hans Mendl, and Hanna Roose, 14:107–21.  Religionsunterricht und seine Rahmungen . Babenhausen, 2023."},"intvolume":"        14","page":"107- 121","place":"Babenhausen","year":"2023","language":[{"iso":"ger"}],"series_title":" Religionsunterricht und seine Rahmungen ","user_id":"79695","department":[{"_id":"432"}],"_id":"59593","status":"public","editor":[{"first_name":"Oliver","last_name":"Reis","full_name":"Reis, Oliver"},{"first_name":"Norbert","last_name":"Brieden","full_name":"Brieden, Norbert"},{"first_name":"Hans","full_name":"Mendl, Hans","last_name":"Mendl"},{"full_name":"Roose, Hanna","last_name":"Roose","first_name":"Hanna"}],"type":"book_chapter","publication":"Religion lernen. Jahrbuch für konstruktivistische Religionsdidaktik"},{"author":[{"first_name":"Oliver","last_name":"Reis","full_name":"Reis, Oliver","id":"55567"},{"full_name":"Kros, Inga","last_name":"Kros","first_name":"Inga"}],"date_created":"2025-04-16T06:38:55Z","date_updated":"2025-04-23T12:05:24Z","title":"Mut und Offenheit. Auf dem Weg in die Zukunft von Lehre und Hochschule","issue":"5+6/ 2023 ","page":"135- 140","citation":{"ama":"Reis O, Kros I. Mut und Offenheit. Auf dem Weg in die Zukunft von Lehre und Hochschule. <i>Das Hochschulwesen Forum für Hochschulforschung, - praxis und -politik </i>. 2023;(5+6/ 2023):135-140.","ieee":"O. Reis and I. Kros, “Mut und Offenheit. Auf dem Weg in die Zukunft von Lehre und Hochschule,” <i>Das Hochschulwesen. Forum für Hochschulforschung, - praxis und -politik </i>, no. 5+6/ 2023, pp. 135–140, 2023.","chicago":"Reis, Oliver, and Inga Kros. “Mut und Offenheit. Auf dem Weg in die Zukunft von Lehre und Hochschule.” <i>Das Hochschulwesen. Forum für Hochschulforschung, - praxis und -politik </i>, no. 5+6/ 2023 (2023): 135–40.","apa":"Reis, O., &#38; Kros, I. (2023). Mut und Offenheit. Auf dem Weg in die Zukunft von Lehre und Hochschule. <i>Das Hochschulwesen. Forum für Hochschulforschung, - praxis und -politik </i>, <i>5+6/ 2023</i>, 135–140.","bibtex":"@article{Reis_Kros_2023, title={Mut und Offenheit. Auf dem Weg in die Zukunft von Lehre und Hochschule}, number={5+6/ 2023}, journal={Das Hochschulwesen. Forum für Hochschulforschung, - praxis und -politik }, author={Reis, Oliver and Kros, Inga}, year={2023}, pages={135–140} }","short":"O. Reis, I. Kros, Das Hochschulwesen. Forum für Hochschulforschung, - praxis und -politik  (2023) 135–140.","mla":"Reis, Oliver, and Inga Kros. “Mut und Offenheit. Auf dem Weg in die Zukunft von Lehre und Hochschule.” <i>Das Hochschulwesen. Forum für Hochschulforschung, - praxis und -politik </i>, no. 5+6/ 2023, 2023, pp. 135–40."},"year":"2023","department":[{"_id":"432"}],"user_id":"79695","_id":"59590","language":[{"iso":"ger"}],"publication":"Das Hochschulwesen. Forum für Hochschulforschung, - praxis und -politik ","type":"journal_article","status":"public"},{"language":[{"iso":"ger"}],"department":[{"_id":"432"}],"user_id":"79695","_id":"59591","status":"public","publication":"Lebendige Seelsorge ","type":"journal_article","title":"Vom Lehramtsstudium her denken. Erfahrungen und Perspektiven für die Gestaltung theologischer Studiengänge","volume":74,"date_created":"2025-04-16T06:45:23Z","author":[{"first_name":"Oliver","last_name":"Reis","id":"55567","full_name":"Reis, Oliver"}],"date_updated":"2025-04-23T12:05:16Z","intvolume":"        74","page":"268- 272","citation":{"ama":"Reis O. Vom Lehramtsstudium her denken. Erfahrungen und Perspektiven für die Gestaltung theologischer Studiengänge. <i>Lebendige Seelsorge </i>. 2023;74:268-272.","chicago":"Reis, Oliver. “Vom Lehramtsstudium her denken. Erfahrungen und Perspektiven für die Gestaltung theologischer Studiengänge.” <i>Lebendige Seelsorge </i> 74 (2023): 268–72.","ieee":"O. Reis, “Vom Lehramtsstudium her denken. Erfahrungen und Perspektiven für die Gestaltung theologischer Studiengänge,” <i>Lebendige Seelsorge </i>, vol. 74, pp. 268–272, 2023.","apa":"Reis, O. (2023). Vom Lehramtsstudium her denken. Erfahrungen und Perspektiven für die Gestaltung theologischer Studiengänge. <i>Lebendige Seelsorge </i>, <i>74</i>, 268–272.","short":"O. Reis, Lebendige Seelsorge  74 (2023) 268–272.","bibtex":"@article{Reis_2023, title={Vom Lehramtsstudium her denken. Erfahrungen und Perspektiven für die Gestaltung theologischer Studiengänge}, volume={74}, journal={Lebendige Seelsorge }, author={Reis, Oliver}, year={2023}, pages={268–272} }","mla":"Reis, Oliver. “Vom Lehramtsstudium her denken. Erfahrungen und Perspektiven für die Gestaltung theologischer Studiengänge.” <i>Lebendige Seelsorge </i>, vol. 74, 2023, pp. 268–72."},"year":"2023"},{"publication":"Electronic Journal of Probability","type":"journal_article","status":"public","user_id":"113768","_id":"59188","language":[{"iso":"eng"}],"issue":"none","publication_identifier":{"issn":["1083-6489"]},"publication_status":"published","intvolume":"        28","citation":{"chicago":"Jalowy, Jonas, Zakhar Kabluchko, Matthias Löwe, and Alexander Marynych. “When Does the Chaos in the Curie-Weiss Model Stop to Propagate?” <i>Electronic Journal of Probability</i> 28, no. none (2023). <a href=\"https://doi.org/10.1214/23-ejp1039\">https://doi.org/10.1214/23-ejp1039</a>.","ieee":"J. Jalowy, Z. Kabluchko, M. Löwe, and A. Marynych, “When does the chaos in the Curie-Weiss model stop to propagate?,” <i>Electronic Journal of Probability</i>, vol. 28, no. none, 2023, doi: <a href=\"https://doi.org/10.1214/23-ejp1039\">10.1214/23-ejp1039</a>.","ama":"Jalowy J, Kabluchko Z, Löwe M, Marynych A. When does the chaos in the Curie-Weiss model stop to propagate? <i>Electronic Journal of Probability</i>. 2023;28(none). doi:<a href=\"https://doi.org/10.1214/23-ejp1039\">10.1214/23-ejp1039</a>","apa":"Jalowy, J., Kabluchko, Z., Löwe, M., &#38; Marynych, A. (2023). When does the chaos in the Curie-Weiss model stop to propagate? <i>Electronic Journal of Probability</i>, <i>28</i>(none). <a href=\"https://doi.org/10.1214/23-ejp1039\">https://doi.org/10.1214/23-ejp1039</a>","bibtex":"@article{Jalowy_Kabluchko_Löwe_Marynych_2023, title={When does the chaos in the Curie-Weiss model stop to propagate?}, volume={28}, DOI={<a href=\"https://doi.org/10.1214/23-ejp1039\">10.1214/23-ejp1039</a>}, number={none}, journal={Electronic Journal of Probability}, publisher={Institute of Mathematical Statistics}, author={Jalowy, Jonas and Kabluchko, Zakhar and Löwe, Matthias and Marynych, Alexander}, year={2023} }","short":"J. Jalowy, Z. Kabluchko, M. Löwe, A. Marynych, Electronic Journal of Probability 28 (2023).","mla":"Jalowy, Jonas, et al. “When Does the Chaos in the Curie-Weiss Model Stop to Propagate?” <i>Electronic Journal of Probability</i>, vol. 28, no. none, Institute of Mathematical Statistics, 2023, doi:<a href=\"https://doi.org/10.1214/23-ejp1039\">10.1214/23-ejp1039</a>."},"year":"2023","volume":28,"date_created":"2025-03-31T07:15:02Z","author":[{"last_name":"Jalowy","orcid":"0000-0001-9624-2685","full_name":"Jalowy, Jonas","id":"113768","first_name":"Jonas"},{"full_name":"Kabluchko, Zakhar","last_name":"Kabluchko","first_name":"Zakhar"},{"last_name":"Löwe","full_name":"Löwe, Matthias","first_name":"Matthias"},{"first_name":"Alexander","last_name":"Marynych","full_name":"Marynych, Alexander"}],"publisher":"Institute of Mathematical Statistics","date_updated":"2025-04-23T14:36:13Z","doi":"10.1214/23-ejp1039","title":"When does the chaos in the Curie-Weiss model stop to propagate?"},{"user_id":"113768","external_id":{"arxiv":["2312.14883"]},"_id":"59209","language":[{"iso":"eng"}],"type":"preprint","publication":"arXiv:2312.14883","status":"public","abstract":[{"text":"We start with a random polynomial $P^{N}$ of degree $N$ with independent\r\ncoefficients and consider a new polynomial $P_{t}^{N}$ obtained by repeated\r\napplications of a fraction differential operator of the form $z^{a}%\r\n(d/dz)^{b},$ where $a$ and $b$ are real numbers. When $b>0,$ we compute the\r\nlimiting root distribution $\\mu_{t}$ of $P_{t}^{N}$ as $N\\rightarrow\\infty.$ We\r\nshow that $\\mu_{t}$ is the push-forward of the limiting root distribution of\r\n$P^{N}$ under a transport map $T_{t}$. The map $T_{t}$ is defined by flowing\r\nalong the characteristic curves of the PDE satisfied by the log potential of\r\n$\\mu_{t}.$ In the special case of repeated differentiation, our results may be\r\ninterpreted as saying that the roots evolve radially \\textit{with constant\r\nspeed} until they hit the origin, at which point, they cease to exist. For\r\ngeneral $a$ and $b,$ the transport map $T_{t}$ has a free probability\r\ninterpretation as multiplication of an $R$-diagonal operator by an $R$-diagonal\r\n\"transport operator.\" As an application, we obtain a push-forward\r\ncharacterization of the free self-convolution semigroup $\\oplus$ of radial\r\nmeasures on $\\mathbb{C}$.\r\n  We also consider the case $b<0,$ which includes the case of repeated\r\nintegration. More complicated behavior of the roots can occur in this case.","lang":"eng"}],"author":[{"last_name":"Hall","full_name":"Hall, Brian C.","first_name":"Brian C."},{"last_name":"Ho","full_name":"Ho, Ching-Wei","first_name":"Ching-Wei"},{"first_name":"Jonas","last_name":"Jalowy","orcid":"0000-0001-9624-2685","id":"113768","full_name":"Jalowy, Jonas"},{"full_name":"Kabluchko, Zakhar","last_name":"Kabluchko","first_name":"Zakhar"}],"date_created":"2025-03-31T07:15:40Z","date_updated":"2025-04-23T14:38:56Z","title":"Roots of polynomials under repeated differentiation and repeated  applications of fractional differential operators","citation":{"ama":"Hall BC, Ho C-W, Jalowy J, Kabluchko Z. Roots of polynomials under repeated differentiation and repeated  applications of fractional differential operators. <i>arXiv:231214883</i>. Published online 2023.","chicago":"Hall, Brian C., Ching-Wei Ho, Jonas Jalowy, and Zakhar Kabluchko. “Roots of Polynomials under Repeated Differentiation and Repeated  Applications of Fractional Differential Operators.” <i>ArXiv:2312.14883</i>, 2023.","ieee":"B. C. Hall, C.-W. Ho, J. Jalowy, and Z. Kabluchko, “Roots of polynomials under repeated differentiation and repeated  applications of fractional differential operators,” <i>arXiv:2312.14883</i>. 2023.","mla":"Hall, Brian C., et al. “Roots of Polynomials under Repeated Differentiation and Repeated  Applications of Fractional Differential Operators.” <i>ArXiv:2312.14883</i>, 2023.","bibtex":"@article{Hall_Ho_Jalowy_Kabluchko_2023, title={Roots of polynomials under repeated differentiation and repeated  applications of fractional differential operators}, journal={arXiv:2312.14883}, author={Hall, Brian C. and Ho, Ching-Wei and Jalowy, Jonas and Kabluchko, Zakhar}, year={2023} }","short":"B.C. Hall, C.-W. Ho, J. Jalowy, Z. Kabluchko, ArXiv:2312.14883 (2023).","apa":"Hall, B. C., Ho, C.-W., Jalowy, J., &#38; Kabluchko, Z. (2023). Roots of polynomials under repeated differentiation and repeated  applications of fractional differential operators. In <i>arXiv:2312.14883</i>."},"year":"2023"},{"_id":"59187","external_id":{"arxiv":["2308.11685"]},"user_id":"113768","language":[{"iso":"eng"}],"publication":"arXiv:2308.11685","type":"preprint","abstract":[{"text":"We investigate the evolution of the empirical distribution of the complex\r\nroots of high-degree random polynomials, when the polynomial undergoes the heat\r\nflow. In one prominent example of Weyl polynomials, the limiting zero\r\ndistribution evolves from the circular law into the elliptic law until it\r\ncollapses to the Wigner semicircle law, as was recently conjectured for\r\ncharacteristic polynomials of random matrices by Hall and Ho, 2022. Moreover,\r\nfor a general family of random polynomials with independent coefficients and\r\nisotropic limiting distribution of zeros, we determine the zero distribution of\r\nthe heat-evolved polynomials in terms of its logarithmic potential.\r\nFurthermore, we explicitly identify two critical time thresholds, at which\r\nsingularities develop and at which the limiting distribution collapses to the\r\nsemicircle law. We completely characterize the limiting root distribution of\r\nthe heat-evolved polynomials before singularities develop as the push-forward\r\nof the initial distribution under a transport map. Finally, we discuss the\r\nresults from the perspectives of partial differential equations (in particular\r\nHamilton-Jacobi equation and Burgers' equation), optimal transport, and free\r\nprobability. The theory is accompanied by explicit examples, simulations, and\r\nconjectures.","lang":"eng"}],"status":"public","date_updated":"2025-04-23T14:38:41Z","author":[{"first_name":"Brian C.","full_name":"Hall, Brian C.","last_name":"Hall"},{"last_name":"Ho","full_name":"Ho, Ching-Wei","first_name":"Ching-Wei"},{"orcid":"0000-0001-9624-2685","last_name":"Jalowy","id":"113768","full_name":"Jalowy, Jonas","first_name":"Jonas"},{"full_name":"Kabluchko, Zakhar","last_name":"Kabluchko","first_name":"Zakhar"}],"date_created":"2025-03-31T07:14:23Z","title":"Zeros of random polynomials undergoing the heat flow","year":"2023","citation":{"apa":"Hall, B. C., Ho, C.-W., Jalowy, J., &#38; Kabluchko, Z. (2023). Zeros of random polynomials undergoing the heat flow. In <i>arXiv:2308.11685</i>.","bibtex":"@article{Hall_Ho_Jalowy_Kabluchko_2023, title={Zeros of random polynomials undergoing the heat flow}, journal={arXiv:2308.11685}, author={Hall, Brian C. and Ho, Ching-Wei and Jalowy, Jonas and Kabluchko, Zakhar}, year={2023} }","mla":"Hall, Brian C., et al. “Zeros of Random Polynomials Undergoing the Heat Flow.” <i>ArXiv:2308.11685</i>, 2023.","short":"B.C. Hall, C.-W. Ho, J. Jalowy, Z. Kabluchko, ArXiv:2308.11685 (2023).","ama":"Hall BC, Ho C-W, Jalowy J, Kabluchko Z. Zeros of random polynomials undergoing the heat flow. <i>arXiv:230811685</i>. Published online 2023.","ieee":"B. C. Hall, C.-W. Ho, J. Jalowy, and Z. Kabluchko, “Zeros of random polynomials undergoing the heat flow,” <i>arXiv:2308.11685</i>. 2023.","chicago":"Hall, Brian C., Ching-Wei Ho, Jonas Jalowy, and Zakhar Kabluchko. “Zeros of Random Polynomials Undergoing the Heat Flow.” <i>ArXiv:2308.11685</i>, 2023."}},{"external_id":{"arxiv":["2304.11145"]},"_id":"59211","user_id":"113768","language":[{"iso":"eng"}],"type":"preprint","publication":"arXiv:2304.11145","abstract":[{"lang":"eng","text":"We develop a theory of optimal transport for stationary random measures with\r\na focus on stationary point processes and construct a family of distances on\r\nthe set of stationary random measures. These induce a natural notion of\r\ninterpolation between two stationary random measures along a shortest curve\r\nconnecting them. In the setting of stationary point processes we leverage this\r\ntransport distance to give a geometric interpretation for the evolution of\r\ninfinite particle systems with stationary distribution. Namely, we characterise\r\nthe evolution of infinitely many Brownian motions as the gradient flow of the\r\nspecific relative entropy w.r.t.~the Poisson point process. Further, we\r\nestablish displacement convexity of the specific relative entropy along optimal\r\ninterpolations of point processes and establish an stationary analogue of the\r\nHWI inequality, relating specific entropy, transport distance, and a specific\r\nrelative Fisher information."}],"status":"public","date_updated":"2025-04-23T14:39:08Z","date_created":"2025-03-31T07:16:09Z","author":[{"last_name":"Erbar","full_name":"Erbar, Matthias","first_name":"Matthias"},{"first_name":"Martin","last_name":"Huesmann","full_name":"Huesmann, Martin"},{"first_name":"Jonas","id":"113768","full_name":"Jalowy, Jonas","last_name":"Jalowy","orcid":"0000-0001-9624-2685"},{"last_name":"Müller","full_name":"Müller, Bastian","first_name":"Bastian"}],"title":"Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy","year":"2023","citation":{"apa":"Erbar, M., Huesmann, M., Jalowy, J., &#38; Müller, B. (2023). Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy. In <i>arXiv:2304.11145</i>.","short":"M. Erbar, M. Huesmann, J. Jalowy, B. Müller, ArXiv:2304.11145 (2023).","mla":"Erbar, Matthias, et al. “Optimal Transport of Stationary Point Processes: Metric Structure,  Gradient Flow and Convexity of the Specific Entropy.” <i>ArXiv:2304.11145</i>, 2023.","bibtex":"@article{Erbar_Huesmann_Jalowy_Müller_2023, title={Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy}, journal={arXiv:2304.11145}, author={Erbar, Matthias and Huesmann, Martin and Jalowy, Jonas and Müller, Bastian}, year={2023} }","ieee":"M. Erbar, M. Huesmann, J. Jalowy, and B. Müller, “Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy,” <i>arXiv:2304.11145</i>. 2023.","chicago":"Erbar, Matthias, Martin Huesmann, Jonas Jalowy, and Bastian Müller. “Optimal Transport of Stationary Point Processes: Metric Structure,  Gradient Flow and Convexity of the Specific Entropy.” <i>ArXiv:2304.11145</i>, 2023.","ama":"Erbar M, Huesmann M, Jalowy J, Müller B. Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy. <i>arXiv:230411145</i>. Published online 2023."}},{"date_updated":"2025-04-23T14:38:52Z","date_created":"2025-03-31T07:15:22Z","author":[{"first_name":"Matthias","last_name":"Erbar","full_name":"Erbar, Matthias"},{"first_name":"Martin","full_name":"Huesmann, Martin","last_name":"Huesmann"},{"id":"113768","full_name":"Jalowy, Jonas","orcid":"0000-0001-9624-2685","last_name":"Jalowy","first_name":"Jonas"},{"first_name":"Bastian","full_name":"Müller, Bastian","last_name":"Müller"}],"title":"Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy","year":"2023","citation":{"ama":"Erbar M, Huesmann M, Jalowy J, Müller B. Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy. <i>arXiv:230411145</i>. Published online 2023.","ieee":"M. Erbar, M. Huesmann, J. Jalowy, and B. Müller, “Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy,” <i>arXiv:2304.11145</i>. 2023.","chicago":"Erbar, Matthias, Martin Huesmann, Jonas Jalowy, and Bastian Müller. “Optimal Transport of Stationary Point Processes: Metric Structure,  Gradient Flow and Convexity of the Specific Entropy.” <i>ArXiv:2304.11145</i>, 2023.","mla":"Erbar, Matthias, et al. “Optimal Transport of Stationary Point Processes: Metric Structure,  Gradient Flow and Convexity of the Specific Entropy.” <i>ArXiv:2304.11145</i>, 2023.","bibtex":"@article{Erbar_Huesmann_Jalowy_Müller_2023, title={Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy}, journal={arXiv:2304.11145}, author={Erbar, Matthias and Huesmann, Martin and Jalowy, Jonas and Müller, Bastian}, year={2023} }","short":"M. Erbar, M. Huesmann, J. Jalowy, B. Müller, ArXiv:2304.11145 (2023).","apa":"Erbar, M., Huesmann, M., Jalowy, J., &#38; Müller, B. (2023). Optimal transport of stationary point processes: Metric structure,  gradient flow and convexity of the specific entropy. In <i>arXiv:2304.11145</i>."},"external_id":{"arxiv":["2304.11145"]},"_id":"59189","user_id":"113768","language":[{"iso":"eng"}],"publication":"arXiv:2304.11145","type":"preprint","abstract":[{"text":"We develop a theory of optimal transport for stationary random measures with\r\na focus on stationary point processes and construct a family of distances on\r\nthe set of stationary random measures. These induce a natural notion of\r\ninterpolation between two stationary random measures along a shortest curve\r\nconnecting them. In the setting of stationary point processes we leverage this\r\ntransport distance to give a geometric interpretation for the evolution of\r\ninfinite particle systems with stationary distribution. Namely, we characterise\r\nthe evolution of infinitely many Brownian motions as the gradient flow of the\r\nspecific relative entropy w.r.t.~the Poisson point process. Further, we\r\nestablish displacement convexity of the specific relative entropy along optimal\r\ninterpolations of point processes and establish an stationary analogue of the\r\nHWI inequality, relating specific entropy, transport distance, and a specific\r\nrelative Fisher information.","lang":"eng"}],"status":"public"},{"author":[{"first_name":"Jonas","last_name":"Jalowy","orcid":"0000-0001-9624-2685","id":"113768","full_name":"Jalowy, Jonas"}],"date_created":"2025-03-31T07:12:40Z","volume":59,"publisher":"Institute of Mathematical Statistics","date_updated":"2025-04-23T14:38:24Z","doi":"10.1214/22-aihp1317","title":"The Wasserstein distance to the circular law","issue":"4","publication_status":"published","publication_identifier":{"issn":["0246-0203"]},"citation":{"ama":"Jalowy J. The Wasserstein distance to the circular law. <i>Annales de l’Institut Henri Poincaré, Probabilités et Statistiques</i>. 2023;59(4). doi:<a href=\"https://doi.org/10.1214/22-aihp1317\">10.1214/22-aihp1317</a>","ieee":"J. Jalowy, “The Wasserstein distance to the circular law,” <i>Annales de l’Institut Henri Poincaré, Probabilités et Statistiques</i>, vol. 59, no. 4, 2023, doi: <a href=\"https://doi.org/10.1214/22-aihp1317\">10.1214/22-aihp1317</a>.","chicago":"Jalowy, Jonas. “The Wasserstein Distance to the Circular Law.” <i>Annales de l’Institut Henri Poincaré, Probabilités et Statistiques</i> 59, no. 4 (2023). <a href=\"https://doi.org/10.1214/22-aihp1317\">https://doi.org/10.1214/22-aihp1317</a>.","bibtex":"@article{Jalowy_2023, title={The Wasserstein distance to the circular law}, volume={59}, DOI={<a href=\"https://doi.org/10.1214/22-aihp1317\">10.1214/22-aihp1317</a>}, number={4}, journal={Annales de l’Institut Henri Poincaré, Probabilités et Statistiques}, publisher={Institute of Mathematical Statistics}, author={Jalowy, Jonas}, year={2023} }","mla":"Jalowy, Jonas. “The Wasserstein Distance to the Circular Law.” <i>Annales de l’Institut Henri Poincaré, Probabilités et Statistiques</i>, vol. 59, no. 4, Institute of Mathematical Statistics, 2023, doi:<a href=\"https://doi.org/10.1214/22-aihp1317\">10.1214/22-aihp1317</a>.","short":"J. Jalowy, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 59 (2023).","apa":"Jalowy, J. (2023). The Wasserstein distance to the circular law. <i>Annales de l’Institut Henri Poincaré, Probabilités et Statistiques</i>, <i>59</i>(4). <a href=\"https://doi.org/10.1214/22-aihp1317\">https://doi.org/10.1214/22-aihp1317</a>"},"intvolume":"        59","year":"2023","user_id":"113768","_id":"59184","language":[{"iso":"eng"}],"type":"journal_article","publication":"Annales de l'Institut Henri Poincaré, Probabilités et Statistiques","status":"public"},{"title":"The heat flow, GAF, and SL(2;R)","date_updated":"2025-04-23T14:39:00Z","author":[{"first_name":"Brian","last_name":"Hall","full_name":"Hall, Brian"},{"full_name":"Ho, Ching-Wei","last_name":"Ho","first_name":"Ching-Wei"},{"first_name":"Jonas","full_name":"Jalowy, Jonas","id":"113768","last_name":"Jalowy","orcid":"0000-0001-9624-2685"},{"full_name":"Kabluchko, Zakhar","last_name":"Kabluchko","first_name":"Zakhar"}],"date_created":"2025-03-31T07:15:53Z","year":"2023","citation":{"apa":"Hall, B., Ho, C.-W., Jalowy, J., &#38; Kabluchko, Z. (2023). The heat flow, GAF, and SL(2;R). In <i>arXiv:2304.06665</i>.","short":"B. Hall, C.-W. Ho, J. Jalowy, Z. Kabluchko, ArXiv:2304.06665 (2023).","bibtex":"@article{Hall_Ho_Jalowy_Kabluchko_2023, title={The heat flow, GAF, and SL(2;R)}, journal={arXiv:2304.06665}, author={Hall, Brian and Ho, Ching-Wei and Jalowy, Jonas and Kabluchko, Zakhar}, year={2023} }","mla":"Hall, Brian, et al. “The Heat Flow, GAF, and SL(2;R).” <i>ArXiv:2304.06665</i>, 2023.","ama":"Hall B, Ho C-W, Jalowy J, Kabluchko Z. The heat flow, GAF, and SL(2;R). <i>arXiv:230406665</i>. Published online 2023.","chicago":"Hall, Brian, Ching-Wei Ho, Jonas Jalowy, and Zakhar Kabluchko. “The Heat Flow, GAF, and SL(2;R).” <i>ArXiv:2304.06665</i>, 2023.","ieee":"B. Hall, C.-W. Ho, J. Jalowy, and Z. Kabluchko, “The heat flow, GAF, and SL(2;R),” <i>arXiv:2304.06665</i>. 2023."},"language":[{"iso":"eng"}],"external_id":{"arxiv":["2304.06665"]},"_id":"59210","user_id":"113768","abstract":[{"text":"We establish basic properties of the heat flow on entire holomorphic\r\nfunctions that have order at most 2. We then look specifically at the action of\r\nthe heat flow on the Gaussian analytic function (GAF). We show that applying\r\nthe heat flow to a GAF and then rescaling and multiplying by an exponential of\r\na quadratic function gives another GAF. It follows that the zeros of the GAF\r\nare invariant in distribution under the heat flow, up to a simple rescaling.\r\n  We then show that the zeros of the GAF evolve under the heat flow\r\napproximately along straight lines, with an error whose distribution is\r\nindependent of the starting point. Finally, we connect the heat flow on the GAF\r\nto the metaplectic representation of the double cover of the group\r\n$SL(2;\\mathbb{R}).$","lang":"eng"}],"status":"public","publication":"arXiv:2304.06665","type":"preprint"},{"publication_identifier":{"isbn":["9783837666113","9783839466117"]},"publication_status":"published","place":"Bielefeld","page":"203–219","citation":{"chicago":"Süßmann, Johannes. “Gebaute Heiligung. Wie Stadtumbau und Heiligenverehrung des späten 17. und frühen 18. Jahrhunderts Paderborn in eine heilige Stadt verwandelten.” In <i>(Un)verfügbar – Kulturen des Heiligen</i>, edited by Margreth Egidi, Ludmilla Peters, and Jochen Schmidt, 203–219. Bielefeld: Bielefeld University Press / transcript Verlag, 2023. <a href=\"https://doi.org/10.14361/9783839466117-009\">https://doi.org/10.14361/9783839466117-009</a>.","ieee":"J. Süßmann, “Gebaute Heiligung. Wie Stadtumbau und Heiligenverehrung des späten 17. und frühen 18. Jahrhunderts Paderborn in eine heilige Stadt verwandelten,” in <i>(Un)verfügbar – Kulturen des Heiligen</i>, M. Egidi, L. Peters, and J. Schmidt, Eds. Bielefeld: Bielefeld University Press / transcript Verlag, 2023, pp. 203–219.","ama":"Süßmann J. Gebaute Heiligung. Wie Stadtumbau und Heiligenverehrung des späten 17. und frühen 18. Jahrhunderts Paderborn in eine heilige Stadt verwandelten. In: Egidi M, Peters L, Schmidt J, eds. <i>(Un)verfügbar – Kulturen des Heiligen</i>. Bielefeld University Press / transcript Verlag; 2023:203–219. doi:<a href=\"https://doi.org/10.14361/9783839466117-009\">10.14361/9783839466117-009</a>","short":"J. Süßmann, in: M. Egidi, L. Peters, J. Schmidt (Eds.), (Un)verfügbar – Kulturen des Heiligen, Bielefeld University Press / transcript Verlag, Bielefeld, 2023, pp. 203–219.","bibtex":"@inbook{Süßmann_2023, place={Bielefeld}, title={Gebaute Heiligung. Wie Stadtumbau und Heiligenverehrung des späten 17. und frühen 18. Jahrhunderts Paderborn in eine heilige Stadt verwandelten}, DOI={<a href=\"https://doi.org/10.14361/9783839466117-009\">10.14361/9783839466117-009</a>}, booktitle={(Un)verfügbar – Kulturen des Heiligen}, publisher={Bielefeld University Press / transcript Verlag}, author={Süßmann, Johannes}, editor={Egidi, Margreth and Peters, Ludmilla and Schmidt, Jochen}, year={2023}, pages={203–219} }","mla":"Süßmann, Johannes. “Gebaute Heiligung. Wie Stadtumbau und Heiligenverehrung des späten 17. und frühen 18. Jahrhunderts Paderborn in eine heilige Stadt verwandelten.” <i>(Un)verfügbar – Kulturen des Heiligen</i>, edited by Margreth Egidi et al., Bielefeld University Press / transcript Verlag, 2023, pp. 203–219, doi:<a href=\"https://doi.org/10.14361/9783839466117-009\">10.14361/9783839466117-009</a>.","apa":"Süßmann, J. (2023). Gebaute Heiligung. Wie Stadtumbau und Heiligenverehrung des späten 17. und frühen 18. Jahrhunderts Paderborn in eine heilige Stadt verwandelten. In M. Egidi, L. Peters, &#38; J. Schmidt (Eds.), <i>(Un)verfügbar – Kulturen des Heiligen</i> (pp. 203–219). Bielefeld University Press / transcript Verlag. <a href=\"https://doi.org/10.14361/9783839466117-009\">https://doi.org/10.14361/9783839466117-009</a>"},"date_updated":"2025-04-24T16:24:33Z","author":[{"id":"16220","full_name":"Süßmann, Johannes","last_name":"Süßmann","orcid":"0000-0001-5716-0863","first_name":"Johannes"}],"doi":"10.14361/9783839466117-009","main_file_link":[{"url":"https://doi.org/10.14361/9783839466117-009"}],"type":"book_chapter","editor":[{"first_name":"Margreth","last_name":"Egidi","full_name":"Egidi, Margreth"},{"first_name":"Ludmilla","last_name":"Peters","full_name":"Peters, Ludmilla"},{"last_name":"Schmidt","full_name":"Schmidt, Jochen","first_name":"Jochen"}],"status":"public","_id":"49481","project":[{"_id":"1338","name":"Barock im Norden"},{"name":"Raumregime: Wie frühneuzeitliche Bauten Geschichte machten","_id":"1120"}],"department":[{"_id":"446"},{"_id":"550"}],"user_id":"16220","quality_controlled":"1","year":"2023","publisher":"Bielefeld University Press / transcript Verlag","date_created":"2023-12-04T19:18:39Z","title":"Gebaute Heiligung. Wie Stadtumbau und Heiligenverehrung des späten 17. und frühen 18. Jahrhunderts Paderborn in eine heilige Stadt verwandelten","publication":"(Un)verfügbar – Kulturen des Heiligen","abstract":[{"lang":"eng","text":"Nach dem Dreißigjährigen Krieg kam es in Paderborn zu einem Stadtumbau. Unter der Regierung des Fürstbischofs Ferdinand von Fürstenberg (1661–1683) wurden drei neue Kirchen errichtet, eine ältere erhielt eine neue Fassade. Das machte alle vier zu städtebaulichen Dominanten – nicht nur durch Größe und Positionierung, sondern weil sie die Barockfassade in Paderborn einführten und damit die Kirchen in ein neues Verhältnis zum städtischen Raum rückten. Gestaltet als Schaufronten vor bühnenartigen Vorplätzen, trugen die Fassaden dazu bei, die vorher auf die Innenräume beschränkte Heiligenverehrung in den Stadtraum hinaus zu wenden und auch im Alltag vor Augen zu stellen. Zugleich wurde ein neuer Prozessionsweg geschaffen, der die Verehrung aller Kirchenpatrone zusammenführte und zu einer Aufgabe für die gesamte Stadt machte. Über Wallfahrtskapellen bezog man das Umland mit ein. Das gesamte Fürstbistum wurde geheiligt. Der politische Sinn war, es nach den Erschütterungen des Dreißigjährigen Kriegs im Innern neu zu begründen und nach außen sakrosankt zu machen.</jats:p>"}],"language":[{"iso":"ger"}]}]