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401 Publications
2021 | Journal Article | LibreCat-ID: 35610
Y. Wang, M. Winkler, and Z. Xiang, “Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.,” Communications in Partial Differential Equations, vol. 46, pp. 1058–1091, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Y. Wang, M. Winkler, and Z. Xiang, “Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation,” Advances in Nonlinear Analysis, vol. 10, pp. 707–731, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35608
Y. Tao and M. Winkler, “Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction,” Discrete and Continuous Dynamical Systems, vol. 41, no. A, pp. 439–454, 2021.
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2021 | Journal Article | LibreCat-ID: 34673
T. Black, M. Fuest, and J. Lankeit, “Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 3, Art. no. 96, 2021, doi: 10.1007/s00033-021-01524-8.
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| DOI
2021 | Journal Article | LibreCat-ID: 34675
T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 4, Art. no. 135, 2021, doi: 10.1007/s00033-021-01565-z.
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| DOI
2021 | Journal Article | LibreCat-ID: 31263
C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi: 10.5802/ahl.67.
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| arXiv
2021 | Journal Article | LibreCat-ID: 36271
D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.
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| DOI
2021 | Book (Editor) | LibreCat-ID: 51493
J. Hilgert and I. Hilgert, Eds., Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 | 
J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.” 2021.
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2021 | Book Review | LibreCat-ID: 51556
J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 68. pp. 171–173, 2021, doi: 10.1007/s00591-021-00295-7.
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| DOI
2021 | Book Review | LibreCat-ID: 51555
J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,” Mathematische Semesterberichte, vol. 68. pp. 175–177, 2021, doi: 10.1007/s00591-021-00296-6.
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2021 | Journal Article | LibreCat-ID: 32006
C. Guillarmou and B. Küster, “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds,” Annales Henri Poincaré, vol. 22, no. 11, pp. 3565–3617, 2021, doi: 10.1007/s00023-021-01068-7.
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| DOI
2021 | Journal Article | LibreCat-ID: 35702
M. Schürmann et al., “Consultation Phases in Mathematics Learning and Support Centres,” International Journal of Research in Undergraduate Mathematics Education, vol. 8, no. 1, pp. 94–120, 2021, doi: 10.1007/s40753-021-00154-9.
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| DOI
2020 | Journal Article | LibreCat-ID: 34789
H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” Archivum Mathematicum, vol. 56, no. 5, pp. 307–356, 2020, doi: 10.5817/AM2020-5-307.
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| DOI
2020 | Journal Article | LibreCat-ID: 34787
H. Glöckner and N. Masbough, “Products of regular locally compact spaces are k_R-spaces,” Topology Proceedings, vol. 55, pp. 35–38, 2020.
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2020 | Journal Article | LibreCat-ID: 31264
B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” Communications in Mathematical Physics, vol. 378, no. 2, pp. 917–941, 2020, doi: 10.1007/s00220-020-03793-2.
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| DOI
2020 | Journal Article | LibreCat-ID: 34828
M. Hanusch, “The regularity problem for Lie groups with asymptotic estimate Lie algebras,” Indagationes Mathematicae, vol. 31, no. 1, pp. 152–176, 2020, doi: 10.1016/j.indag.2019.12.001.
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| DOI
2020 | Journal Article | LibreCat-ID: 34830
M. Hanusch, “The Strong Trotter Property for Locally μ-convex Lie Groups,” Journal of Lie Theory, vol. 30, no. 1, pp. 025–032, 2020.
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2020 | Journal Article | LibreCat-ID: 37373
M. Winkler, “Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system,” Nonlinearity, vol. 33, pp. 5007–5048, 2020.
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2020 | Journal Article | LibreCat-ID: 37380
M. Winkler, “Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.,” Zeitschrift für angewandte Mathematik und Physik, vol. 71, Art. no. 10, 2020.
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2020 | Journal Article | LibreCat-ID: 37367
M. Winkler, “Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?,” Nonlinearity, vol. 33, pp. 6590–6623, 2020.
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2020 | Journal Article | LibreCat-ID: 37364
M. Winkler, “The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$.,” Advances in Nonlinear Analysis, vol. 9, pp. 526–566, 2020.
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2020 | Journal Article | LibreCat-ID: 37375
M. Winkler, “Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.,” Advanced Nonlinear Studies, vol. 20, pp. 795–817, 2020.
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2020 | Journal Article | LibreCat-ID: 37355
M. Winkler, “Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations.,” SIAM Journal on Mathematical Analysis, vol. 52, pp. 2041–2080, 2020.
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2020 | Journal Article | LibreCat-ID: 37377
M. Winkler, “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?,” Acta Applicandae Mathematicae, vol. 169, pp. 577–591, 2020.
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2020 | Journal Article | LibreCat-ID: 37357
M. Winkler, “Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system.,” Journal d’Analyse Mathématique, vol. 141, pp. 585–624, 2020.
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2020 | Journal Article | LibreCat-ID: 37347
N. Rodriguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.,” Mathematical Models & Methods in Applied Sciences, vol. 30, pp. 2105–2137, 2020.
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2020 | Journal Article | LibreCat-ID: 37342
G. Li, Y. Tao, and M. Winkler, “Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction.,” Discrete and Continuous Dynamical Systems --B, vol. 25, pp. 4383–4398, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37354
Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy.,” Journal of Differential Equations, vol. 268, pp. 4973–4997, 2020.
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2020 | Journal Article | LibreCat-ID: 37351
Y. Tao and M. Winkler, “A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy.,” Nonlinear Analysis, vol. 198, Art. no. 111870, 2020.
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2020 | Journal Article | LibreCat-ID: 37349
C. Stinner and M. Winkler, “Refined regularity and stabilization properties in a degenerate haptotaxis system,” Discrete and Continuous Dynamical Systems --A, vol. 40, pp. 4039–4058, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37660
M. Rösler, “Riesz distributions and Laplace transform in the Dunkl setting of type A,” Journal of Functional Analysis, vol. 278, no. 12, Art. no. 108506, 2020, doi: 10.1016/j.jfa.2020.108506.
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| DOI
2020 | Journal Article | LibreCat-ID: 40051
T. Luks and Y. Xiao, “Multiple Points of Operator Semistable Lévy Processes,” Journal of Theoretical Probability, vol. 33, no. 1, pp. 153–179, 2020, doi: 10.1007/s10959-018-0859-4.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37339
E. Steiner and M. Winkler, “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow,” Journal of Nonlinear Science, vol. 30, pp. 1809–1847, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 34670
T. Black, “Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, pp. 1075–1117, 2020, doi: 10.1142/s0218202520400072.
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| DOI
2020 | Journal Article | LibreCat-ID: 51386
J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” J. of Lie Theory, vol. 30, pp. 315–344, 2020.
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2020 | Book (Editor) | LibreCat-ID: 51488
J. Hilgert, Ed., Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum, 2020.
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2020 | Preprint | LibreCat-ID: 51520 |
J. Hilgert, D. Brennecken, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ).” 2020.
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2020 | Book Review | LibreCat-ID: 51559
J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,” Mathematische Semesterberichte, vol. 67. pp. 301–305, 2020, doi: 10.1007/s00591-020-00282-4.
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| DOI
2020 | Book Review | LibreCat-ID: 51557
J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020,” Mathematische Semesterberichte, vol. 67. pp. 307–309, 2020, doi: 10.1007/s00591-020-00283-3.
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| DOI
2020 | Book Review | LibreCat-ID: 51561
J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 123–124, 2020, doi: 10.1007/s00591-020-00272-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51560
J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 297–299, 2020, doi: 10.1007/s00591-020-00280-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51564
J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” Mathematische Semesterberichte, vol. 67. pp. 97–98, 2020, doi: 10.1007/s00591-019-00254-3.
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| DOI
2020 | Book Review | LibreCat-ID: 51563
J. Hilgert, “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019),” Mathematische Semesterberichte, vol. 67. pp. 109–111, 2020, doi: 10.1007/s00591-019-00254-3.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 53415
B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” Communications in Mathematical Physics, vol. 378, no. 2, pp. 917–941, 2020, doi: 10.1007/s00220-020-03793-2.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
T. Black, “Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity,” Discrete & Continuous Dynamical Systems - S, vol. 13, no. 2, pp. 119–137, 2019, doi: 10.3934/dcdss.2020007.
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| DOI
2019 | Journal Article | LibreCat-ID: 34669
T. Black, “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System,” Journal of Mathematical Fluid Mechanics, vol. 22, no. 1, Art. no. 1, 2019, doi: 10.1007/s00021-019-0464-z.
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| DOI
2019 | Journal Article | LibreCat-ID: 34668
T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions,” Mathematical Methods in the Applied Sciences, vol. 42, no. 9, pp. 3002–3020, 2019, doi: 10.1002/mma.5561.
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| DOI