Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
49 Publications
2024 | Journal Article | LibreCat-ID: 32097 | 
Weich, Tobias, et al. “SRB Measures of Anosov Actions.” Journal of Differential Geometry (to Appear) -- ArXiv:2103.12127, 2024.
LibreCat
| Files available
| arXiv
2024 | Journal Article | LibreCat-ID: 32101 |
Weich, Tobias, et al. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, pp. 1–36.
LibreCat
| Files available
2024 | Journal Article | LibreCat-ID: 51207
Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” Geom Dedicata, vol. 218, 76, 2024, doi:https://doi.org/10.1007/s10711-024-00904-4.
LibreCat
| DOI
| 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, vol. 403, 2023, doi:https://doi.org/10.1007/s00220-023-04819-1.
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 31059
Schütte, Philipp, et al. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics, vol. 398, 2023, pp. 655–78, doi:ttps://doi.org/10.1007/s00220-022-04538-z.
LibreCat
| DOI
| 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, vol. 10, 2023, pp. 335–403, doi:10.5802/jep.220.
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 53410
Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” Annales Henri Poincaré, vol. 25, no. 2, Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:10.1007/s00023-023-01379-x.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31982
Cekić, Mihajlo, et al. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” Inventiones Mathematicae, vol. 229, no. 1, Springer Science and Business Media LLC, 2022, pp. 303–94, doi:10.1007/s00222-022-01108-x.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31193
Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré, vol. 23, no. 4, Springer Science and Business Media LLC, 2022, pp. 1283–96, doi: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, vol. 24, no. 3, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 851–923, doi:10.4171/jems/1103.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31057
Barkhofen, Sonja, et al. “Semiclassical Formulae For Wigner Distributions.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 24, 244007, IOP Publishing Ltd, 2022, doi:10.1088/1751-8121/ac6d2b.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
Bux, Kai-Uwe, et al. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory, vol. 12, no. 2, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 659–81, doi: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, vol. 19, no. 6, 2021, pp. 1281–337, doi:10.4310/JSG.2021.v19.n6.a1.
LibreCat
| DOI
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, vol. 2021, no. 11, Oxford University Press (OUP), 2021, pp. 8225–96, doi:10.1093/imrn/rnz068.
LibreCat
| DOI
| arXiv
2021 | Preprint | LibreCat-ID: 32099 |
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, et al. “High Frequency Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue, vol. 4, Cellule MathDoc/CEDRAM, 2021, pp. 81–119, doi: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, vol. 22, no. 11, Springer Science and Business Media LLC, 2021, pp. 3565–617, doi: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, vol. 378, no. 2, Springer Science and Business Media LLC, 2020, pp. 917–41, doi: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, vol. 378, no. 2, Springer Science and Business Media LLC, 2020, pp. 917–41, doi:10.1007/s00220-020-03793-2.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 31265
Dyatlov, Semyon, et al. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.” Journal of the European Mathematical Society, vol. 21, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2019, pp. 1595–639, doi:10.4171/jems/867.
LibreCat
| DOI
| 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, vol. 2021, no. 11, Oxford University Press (OUP), 2019, pp. 8225–96, doi: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, vol. 356, no. 3, Springer Science and Business Media LLC, 2017, pp. 755–822, doi: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, vol. 313, Elsevier BV, 2017, pp. 176–236, doi:10.1016/j.aim.2017.03.025.
LibreCat
| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31267
Guillarmou, Colin, et al. “Classical and Quantum Resonances for Hyperbolic Surfaces.” Mathematische Annalen, vol. 370, no. 3–4, Springer Science and Business Media LLC, 2017, pp. 1231–75, doi: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, vol. 52, no. 1, Springer Science and Business Media LLC, 2017, pp. 57–97, doi: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, vol. 273, no. 1, Elsevier BV, 2017, pp. 41–124, doi: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, vol. 6, no. 2, European Mathematical Society - EMS - Publishing House GmbH, 2016, pp. 267–329, doi: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, vol. 18, no. 1, Springer Science and Business Media LLC, 2016, pp. 37–52, doi:10.1007/s00023-016-0514-5.
LibreCat
| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI, JEAN FRANCOIS, et al. “Asymptotic Spectral Gap and Weyl Law for Ruelle Resonances of Open Partially Expanding Maps.” Ergodic Theory and Dynamical Systems, vol. 37, no. 1, Cambridge University Press (CUP), 2015, pp. 1–58, doi: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, vol. 337, no. 2, Springer Science and Business Media LLC, 2015, pp. 727–65, doi: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, vol. 55, no. 10, 101501, AIP Publishing, 2014, doi:10.1063/1.4896698.
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen, Sonja, et al. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” Nonlinearity, vol. 27, no. 8, IOP Publishing, 2014, pp. 1829–58, doi:10.1088/0951-7715/27/8/1829.
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31297
Weich, Tobias, et al. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” New Journal of Physics, vol. 16, no. 3, 033029, IOP Publishing, 2014, doi: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, vol. 22, no. 2, 2014, pp. 141–49.
LibreCat
2013 | Journal Article | LibreCat-ID: 31298
Barkhofen, Sonja, et al. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” Physical Review Letters, vol. 110, no. 16, 164102, American Physical Society (APS), 2013, doi:10.1103/physrevlett.110.164102.
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 31300
Potzuweit, A., et al. “Weyl Asymptotics: From Closed to Open Systems.” Physical Review E, vol. 86, no. 6, 066205, American Physical Society (APS), 2012, doi:10.1103/physreve.86.066205.
LibreCat
| DOI
| arXiv