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49 Publications


2024 | Journal Article | LibreCat-ID: 32097 | OA
Weich, Tobias, Yannick Guedes Bonthonneau, and Colin Guillarmou. “SRB Measures of Anosov Actions.” Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127, 2024.
LibreCat | Files available | arXiv
 

2024 | Preprint | LibreCat-ID: 51204
Lutsko, Christopher, Tobias Weich, and Lasse Lennart Wolf. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally  Symmetric Spaces.” ArXiv:2402.02530, 2024.
LibreCat | arXiv
 

2024 | Journal Article | LibreCat-ID: 32101 | OA
Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim Hilgert. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, 1–36.
LibreCat | Files available
 

2024 | Preprint | LibreCat-ID: 53414
Delarue, Benjamin, Daniel Monclair, and Andrew Sanders. “Locally Homogeneous Axiom A Flows I: Projective Anosov Subgroups and  Exponential Mixing.” ArXiv:2403.14257, 2024.
LibreCat | arXiv
 

2024 | Preprint | LibreCat-ID: 53413
Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” ArXiv:2403.14426, 2024.
LibreCat | arXiv
 

2023 | Journal Article | LibreCat-ID: 31189
Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric  Spaces.” Communications in Mathematical Physics 403 (2023). https://doi.org/10.1007/s00220-023-04819-1.
LibreCat | DOI | arXiv
 

2023 | Journal Article | LibreCat-ID: 31059
Schütte, Philipp, Tobias Weich, and Sonja Barkhofen. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics 398 (2023): 655–78. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z.
LibreCat | DOI | arXiv
 

2023 | Preprint | LibreCat-ID: 51206
Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023.
LibreCat | arXiv
 

2023 | Preprint | LibreCat-ID: 51207
Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.
LibreCat | arXiv
 

2023 | Journal Article | LibreCat-ID: 31190
Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE 16, no. 10 (2023): 2241–2265.
LibreCat | arXiv
 

2023 | Preprint | LibreCat-ID: 51205
Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023.
LibreCat | arXiv
 

2023 | Journal Article | LibreCat-ID: 31210
Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques 10 (2023): 335–403. https://doi.org/10.5802/jep.220.
LibreCat | DOI | arXiv
 

2023 | Preprint | LibreCat-ID: 53404
Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” ArXiv:2311.11770, 2023.
LibreCat | arXiv
 

2023 | Journal Article | LibreCat-ID: 53410
Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” Annales Henri Poincaré 25, no. 2 (2023): 1607–56. https://doi.org/10.1007/s00023-023-01379-x.
LibreCat | DOI
 

2023 | Preprint | LibreCat-ID: 53412
Delarue, Benjamin, Pablo Ramacher, and Maximilian Schmitt. “Singular Cohomology of Symplectic Quotients by Circle Actions and Kirwan  Surjectivity.” ArXiv:2312.03634, 2023.
LibreCat | arXiv
 

2023 | Preprint | LibreCat-ID: 53411
Delarue, Benjamin, Louis Ioos, and Pablo Ramacher. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” ArXiv:2302.09894, 2023.
LibreCat | arXiv
 

2022 | Journal Article | LibreCat-ID: 31982
Cekić, Mihajlo, Benjamin Delarue, Semyon Dyatlov, and Gabriel P. Paternain. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” Inventiones Mathematicae 229, no. 1 (2022): 303–94. https://doi.org/10.1007/s00222-022-01108-x.
LibreCat | DOI
 

2022 | Journal Article | LibreCat-ID: 31193
Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré 23, no. 4 (2022): 1283–96. https://doi.org/10.1007/s00023-021-01121-5.
LibreCat | DOI | arXiv
 

2022 | Journal Article | LibreCat-ID: 35306
Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical Society 24, no. 3 (2022): 851–923. https://doi.org/10.4171/jems/1103.
LibreCat | DOI
 

2022 | Journal Article | LibreCat-ID: 31057
Barkhofen, Sonja, Philipp Schütte, and Tobias Weich. “Semiclassical Formulae For Wigner Distributions.” Journal of Physics A: Mathematical and Theoretical 55, no. 24 (2022). https://doi.org/10.1088/1751-8121/ac6d2b.
LibreCat | DOI | arXiv
 

2022 | Journal Article | LibreCat-ID: 35322
Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory 12, no. 2 (2022): 659–81. https://doi.org/10.4171/jst/414.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 32016
Delarue, Benjamin, and Pablo Ramacher. “Asymptotic Expansion of Generalized Witten Integrals for Hamiltonian Circle Actions.” Journal of Symplectic Geometry 19, no. 6 (2021): 1281–1337. https://doi.org/10.4310/JSG.2021.v19.n6.a1.
LibreCat | DOI
 

2021 | Preprint | LibreCat-ID: 31058
Schütte, Philipp, Tobias Weich, and Benjamin Delarue. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” 2021.
LibreCat | arXiv
 

2021 | Journal Article | LibreCat-ID: 31261
Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” International Mathematics Research Notices 2021, no. 11 (2021): 8225–96. https://doi.org/10.1093/imrn/rnz068.
LibreCat | DOI | arXiv
 

2021 | Preprint | LibreCat-ID: 32099 | OA
Weich, Tobias, and Julia Budde. “Wave Front Sets of Nilpotent Lie Group Representations.” ArXiv:2103.02968v1, 2021.
LibreCat | Files available
 

2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue 4 (2021): 81–119. https://doi.org/10.5802/ahl.67.
LibreCat | DOI | arXiv
 

2021 | Journal Article | LibreCat-ID: 32006
Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.” Annales Henri Poincaré 22, no. 11 (2021): 3565–3617. https://doi.org/10.1007/s00023-021-01068-7.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 31264
Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” Communications in Mathematical Physics 378, no. 2 (2020): 917–41. https://doi.org/10.1007/s00220-020-03793-2.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 53415
Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” Communications in Mathematical Physics 378, no. 2 (2020): 917–41. https://doi.org/10.1007/s00220-020-03793-2.
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 31265
Dyatlov, Semyon, David Borthwick, and Tobias Weich. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.” Journal of the European Mathematical Society 21, no. 6 (2019): 1595–1639. https://doi.org/10.4171/jems/867.
LibreCat | DOI | arXiv
 

2019 | Preprint | LibreCat-ID: 31191
Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces.” ArXiv:1909.06183, 2019.
LibreCat | arXiv
 

2019 | Mastersthesis | LibreCat-ID: 31302
Schütte, Philipp. Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces, 2019.
LibreCat
 

2019 | Journal Article | LibreCat-ID: 53416
Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” International Mathematics Research Notices 2021, no. 11 (2019): 8225–96. https://doi.org/10.1093/imrn/rnz068.
LibreCat | DOI
 

2017 | Bachelorsthesis | LibreCat-ID: 31301
Schütte, Philipp. Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks, 2017.
LibreCat
 

2017 | Journal Article | LibreCat-ID: 31268
Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps.” Communications in Mathematical Physics 356, no. 3 (2017): 755–822. https://doi.org/10.1007/s00220-017-3000-0.
LibreCat | DOI | arXiv
 

2017 | Journal Article | LibreCat-ID: 31272
Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” Advances in Mathematics 313 (2017): 176–236. https://doi.org/10.1016/j.aim.2017.03.025.
LibreCat | DOI | arXiv
 

2017 | Journal Article | LibreCat-ID: 31267
Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “Classical and Quantum Resonances for Hyperbolic Surfaces.” Mathematische Annalen 370, no. 3–4 (2017): 1231–75. https://doi.org/10.1007/s00208-017-1576-5.
LibreCat | DOI | arXiv
 

2017 | Journal Article | LibreCat-ID: 32020
Küster, Benjamin. “On the Semiclassical Functional Calculus for H-Dependent Functions.” Annals of Global Analysis and Geometry 52, no. 1 (2017): 57–97. https://doi.org/10.1007/s10455-017-9549-1.
LibreCat | DOI
 

2017 | Journal Article | LibreCat-ID: 32022
Küster, Benjamin, and Pablo Ramacher. “Quantum Ergodicity and Symmetry Reduction.” Journal of Functional Analysis 273, no. 1 (2017): 41–124. https://doi.org/10.1016/j.jfa.2017.02.013.
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 31274
Borthwick, David, and Tobias Weich. “Symmetry Reduction of Holomorphic Iterated Function Schemes and Factorization of Selberg Zeta Functions.” Journal of Spectral Theory 6, no. 2 (2016): 267–329. https://doi.org/10.4171/jst/125.
LibreCat | DOI | arXiv
 

2016 | Journal Article | LibreCat-ID: 31289
Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.” Annales Henri Poincaré 18, no. 1 (2016): 37–52. https://doi.org/10.1007/s00023-016-0514-5.
LibreCat | DOI | arXiv
 

2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI, JEAN FRANCOIS, FRÉDÉRIC FAURE, and Tobias Weich. “Asymptotic Spectral Gap and Weyl Law for Ruelle Resonances of Open Partially Expanding Maps.” Ergodic Theory and Dynamical Systems 37, no. 1 (2015): 1–58. https://doi.org/10.1017/etds.2015.34.
LibreCat | DOI | arXiv
 

2015 | Journal Article | LibreCat-ID: 31293
Weich, Tobias. “Resonance Chains and Geometric Limits on Schottky Surfaces.” Communications in Mathematical Physics 337, no. 2 (2015): 727–65. https://doi.org/10.1007/s00220-015-2359-z.
LibreCat | DOI | arXiv
 

2014 | Journal Article | LibreCat-ID: 31294
Weich, Tobias. “Equivariant Spectral Asymptotics forh-Pseudodifferential Operators.” Journal of Mathematical Physics 55, no. 10 (2014). https://doi.org/10.1063/1.4896698.
LibreCat | DOI | arXiv
 

2014 | Journal Article | LibreCat-ID: 31296
Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” Nonlinearity 27, no. 8 (2014): 1829–58. https://doi.org/10.1088/0951-7715/27/8/1829.
LibreCat | DOI | arXiv
 

2014 | Journal Article | LibreCat-ID: 31297
Weich, Tobias, Sonja Barkhofen, U Kuhl, C Poli, and H Schomerus. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” New Journal of Physics 16, no. 3 (2014). https://doi.org/10.1088/1367-2630/16/3/033029.
LibreCat | DOI | arXiv
 

2014 | Journal Article | LibreCat-ID: 32025
Küster, Benjamin. “Discontinuity of the Fuglede-Kadison Determinant on a Group von Neumann Algebra.” Communications in Mathematics 22, no. 2 (2014): 141–49.
LibreCat
 

2013 | Journal Article | LibreCat-ID: 31298
Barkhofen, Sonja, Tobias Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” Physical Review Letters 110, no. 16 (2013). https://doi.org/10.1103/physrevlett.110.164102.
LibreCat | DOI | arXiv
 

2012 | Journal Article | LibreCat-ID: 31300
Potzuweit, A., Tobias Weich, Sonja Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski. “Weyl Asymptotics: From Closed to Open Systems.” Physical Review E 86, no. 6 (2012). https://doi.org/10.1103/physreve.86.066205.
LibreCat | DOI | arXiv
 

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