@article{37367, author = {{Winkler, Michael}}, journal = {{Nonlinearity}}, pages = {{6590--6623}}, title = {{{Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?}}}, volume = {{33}}, year = {{2020}}, } @article{37375, author = {{Winkler, Michael}}, journal = {{Advanced Nonlinear Studies}}, pages = {{795--817}}, title = {{{Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.}}}, volume = {{20}}, year = {{2020}}, } @article{37347, author = {{Rodriguez, Nancy and Winkler, Michael}}, journal = {{Mathematical Models & Methods in Applied Sciences}}, pages = {{2105--2137}}, title = {{{Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.}}}, volume = {{30}}, year = {{2020}}, } @article{37349, author = {{Stinner, Christian and Winkler, Michael}}, journal = {{Discrete and Continuous Dynamical Systems --A}}, pages = {{4039--4058}}, title = {{{Refined regularity and stabilization properties in a degenerate haptotaxis system}}}, volume = {{40}}, year = {{2020}}, } @article{37660, author = {{Rösler, Margit}}, issn = {{0022-1236}}, journal = {{Journal of Functional Analysis}}, keywords = {{Analysis}}, number = {{12}}, publisher = {{Elsevier BV}}, title = {{{Riesz distributions and Laplace transform in the Dunkl setting of type A}}}, doi = {{10.1016/j.jfa.2020.108506}}, volume = {{278}}, year = {{2020}}, } @article{40051, author = {{Luks, Tomasz and Xiao, Yimin}}, issn = {{0894-9840}}, journal = {{Journal of Theoretical Probability}}, number = {{1}}, pages = {{153--179}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Multiple Points of Operator Semistable Lévy Processes}}}, doi = {{10.1007/s10959-018-0859-4}}, volume = {{33}}, year = {{2020}}, } @article{34670, author = {{Black, Tobias}}, issn = {{0218-2025}}, journal = {{Mathematical Models and Methods in Applied Sciences}}, keywords = {{Applied Mathematics, Modeling and Simulation}}, number = {{06}}, pages = {{1075--1117}}, publisher = {{World Scientific Pub Co Pte Lt}}, title = {{{Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties}}}, doi = {{10.1142/s0218202520400072}}, volume = {{30}}, year = {{2020}}, } @article{34672, author = {{Black, Tobias}}, issn = {{1937-1179}}, journal = {{Discrete & Continuous Dynamical Systems - S}}, keywords = {{Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis}}, number = {{2}}, pages = {{119--137}}, publisher = {{American Institute of Mathematical Sciences (AIMS)}}, title = {{{Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity}}}, doi = {{10.3934/dcdss.2020007}}, volume = {{13}}, year = {{2019}}, } @article{34669, author = {{Black, Tobias}}, issn = {{1422-6928}}, journal = {{Journal of Mathematical Fluid Mechanics}}, keywords = {{Applied Mathematics, Computational Mathematics, Condensed Matter Physics, Mathematical Physics}}, number = {{1}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System}}}, doi = {{10.1007/s00021-019-0464-z}}, volume = {{22}}, year = {{2019}}, } @article{34668, author = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}}, issn = {{0170-4214}}, journal = {{Mathematical Methods in the Applied Sciences}}, keywords = {{General Engineering, General Mathematics}}, number = {{9}}, pages = {{3002--3020}}, publisher = {{Wiley}}, title = {{{A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions}}}, doi = {{10.1002/mma.5561}}, volume = {{42}}, year = {{2019}}, } @article{34671, author = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}}, issn = {{0003-6811}}, journal = {{Applicable Analysis}}, keywords = {{Applied Mathematics, Analysis}}, number = {{16}}, pages = {{2877--2891}}, publisher = {{Informa UK Limited}}, title = {{{Stabilization in the Keller–Segel system with signal-dependent sensitivity}}}, doi = {{10.1080/00036811.2019.1585534}}, volume = {{99}}, year = {{2019}}, } @article{31265, author = {{Dyatlov, Semyon and Borthwick, David and Weich, Tobias}}, issn = {{1435-9855}}, journal = {{Journal of the European Mathematical Society}}, keywords = {{Applied Mathematics, General Mathematics}}, number = {{6}}, pages = {{1595--1639}}, publisher = {{European Mathematical Society - EMS - Publishing House GmbH}}, title = {{{Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich}}}, doi = {{10.4171/jems/867}}, volume = {{21}}, year = {{2019}}, } @unpublished{31191, abstract = {{The kinetic Brownian motion on the sphere bundle of a Riemannian manifold $M$ is a stochastic process that models a random perturbation of the geodesic flow. If $M$ is a orientable compact constant negatively curved surface, we show that in the limit of infinitely large perturbation the $L^2$-spectrum of the infinitesimal generator of a time rescaled version of the process converges to the Laplace spectrum of the base manifold. In addition, we give explicit error estimates for the convergence to equilibrium. The proofs are based on noncommutative harmonic analysis of $SL_2(\mathbb{R})$.}}, author = {{Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}}, booktitle = {{arXiv:1909.06183}}, title = {{{Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces}}}, year = {{2019}}, } @article{34829, author = {{Hanusch, Maximilian}}, issn = {{1435-5337}}, journal = {{Forum Mathematicum}}, keywords = {{regularity of Lie groups, differentiability of the evolution map}}, number = {{5}}, pages = {{1139--1177}}, publisher = {{Walter de Gruyter GmbH}}, title = {{{Differentiability of the evolution map and Mackey continuity}}}, doi = {{10.1515/forum-2018-0310}}, volume = {{31}}, year = {{2019}}, } @misc{31302, author = {{Schütte, Philipp}}, title = {{{Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces}}}, year = {{2019}}, } @article{51387, author = {{Hilgert, Joachim and Parthasarathy, A. and Hansen, S.}}, journal = {{Inter. Math. Research Notices}}, pages = {{6362--6389}}, title = {{{Resonances and Scattering Poles in Symmetric Spaces of Rank One}}}, volume = {{20}}, year = {{2019}}, } @misc{51568, author = {{Hilgert, Joachim}}, booktitle = {{Mathematische Semesterberichte}}, pages = {{247–249}}, title = {{{Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015}}}, doi = {{10.1007/s00591-018-0233-8}}, volume = {{66}}, year = {{2019}}, } @misc{51566, author = {{Hilgert, Joachim}}, booktitle = {{Mathematische Semesterberichte}}, pages = {{261–262}}, title = {{{Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018}}}, doi = {{10.1007/s00591-019-00251-6}}, volume = {{66}}, year = {{2019}}, } @misc{51567, author = {{Hilgert, Joachim}}, booktitle = {{Mathematische Semesterberichte }}, pages = {{257–258}}, title = {{{Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018)}}}, doi = {{10.1007/s00591-018-0234-7}}, volume = {{66}}, year = {{2019}}, } @misc{51569, author = {{Hilgert, Joachim}}, booktitle = {{Mathematische Semesterberichte}}, pages = {{127--129}}, title = {{{Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017)}}}, doi = {{10.1007/s00591-018-0226-7}}, volume = {{66}}, year = {{2019}}, }