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49 Publications
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 | 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
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 | 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 | 
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