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49 Publications
2023 | Journal Article | LibreCat-ID: 31210
Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 53410
Delarue, B., Schütte, P., & Weich, T. (2023). Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré, 25(2), 1607–1656. https://doi.org/10.1007/s00023-023-01379-x
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31982
Cekić, M., Delarue, B., Dyatlov, S., & Paternain, G. P. (2022). The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Inventiones Mathematicae, 229(1), 303–394. https://doi.org/10.1007/s00222-022-01108-x
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31193
Kolb, M., Weich, T., & Wolf, L. L. (2022). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré, 23(4), 1283–1296. https://doi.org/10.1007/s00023-021-01121-5
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35306
Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society, 24(3), 851–923. https://doi.org/10.4171/jems/1103
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31057
Barkhofen, S., Schütte, P., & Weich, T. (2022). Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical, 55(24), Article 244007. https://doi.org/10.1088/1751-8121/ac6d2b
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 32016
Delarue, B., & Ramacher, P. (2021). Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions. Journal of Symplectic Geometry, 19(6), 1281–1337. https://doi.org/10.4310/JSG.2021.v19.n6.a1
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 31261
Küster, B., & Weich, T. (2021). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices, 2021(11), 8225–8296. https://doi.org/10.1093/imrn/rnz068
LibreCat
| DOI
| arXiv
2021 | Preprint | LibreCat-ID: 32099 | 
Weich, T., & Budde, J. (2021). Wave Front Sets of Nilpotent Lie Group Representations. In arXiv:2103.02968v1.
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| Files available
2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, C., Hilgert, J., & Weich, T. (2021). High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue, 4, 81–119. https://doi.org/10.5802/ahl.67
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 32006
Guillarmou, C., & Küster, B. (2021). Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. Annales Henri Poincaré, 22(11), 3565–3617. https://doi.org/10.1007/s00023-021-01068-7
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 31264
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 53415
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 31265
Dyatlov, S., Borthwick, D., & Weich, T. (2019). 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(6), 1595–1639. https://doi.org/10.4171/jems/867
LibreCat
| DOI
| arXiv