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41 Publications
2023 | Preprint | LibreCat-ID: 51521 | 
Hilgert, J., Guedes Bonthonneau, Y., Guillarmou, C., & Weich, T. (2023). Ruelle-Taylor resonances of Anosov actions.
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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
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| 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
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| 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
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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
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| 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
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| DOI
2022 | Journal Article | LibreCat-ID: 51385
Hilgert, J., Weich, T., & Bux, K.-U. (2022). Poisson transforms for trees of bounded degree. J. of Spectral Theory, 12, 659–681.
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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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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
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| DOI
| arXiv
2021 | Preprint | LibreCat-ID: 51503 |
Hilgert, J., Weich, T., & Wolf, L. (2021). Higher-rank quantum-classical correspondence.
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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
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| 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
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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
2019 | Journal Article | LibreCat-ID: 53416
Küster, B., & Weich, T. (2019). 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
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2018 | Journal Article | LibreCat-ID: 51389
Hilgert, J., Weich, T., & Guillarmou, C. (2018). Classical and quantum resonances for hyperbolic surfaces. Math. Ann., 370, 1231–1275.
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2018 | Preprint | LibreCat-ID: 51524
Hilgert, J., Guillarmou, C., & Weich, T. (2018). High frequency limits for invariant Ruelle densities.
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2017 | Journal Article | LibreCat-ID: 31268
Faure, F., & Weich, T. (2017). Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics, 356(3), 755–822. https://doi.org/10.1007/s00220-017-3000-0
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31272
Harris, B., & Weich, T. (2017). Wave front sets of reductive Lie group representations III. Advances in Mathematics, 313, 176–236. https://doi.org/10.1016/j.aim.2017.03.025
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| arXiv