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49 Publications
2024 | Journal Article | LibreCat-ID: 32097 | 
Weich, T., Guedes Bonthonneau, Y., & Guillarmou, C. (2024). SRB Measures of Anosov Actions. Journal of Differential Geometry (to Appear) -- ArXiv:2103.12127.
LibreCat
| Files available
| arXiv
2024 | Journal Article | LibreCat-ID: 32101 |
Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024). Ruelle-Taylor resonaces of Anosov actions. J. Europ. Math. Soc., 1–36.
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| Files available
2024 | Journal Article | LibreCat-ID: 51207
Weich, T., & Wolf, L. L. (2024). Temperedness of locally symmetric spaces: The product case. Geom Dedicata, 218, Article 76. https://doi.org/10.1007/s10711-024-00904-4
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 31189
Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher rank locally symmetric spaces. Communications in Mathematical Physics, 403. https://doi.org/10.1007/s00220-023-04819-1
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 31059
Schütte, P., Weich, T., & Barkhofen, S. (2023). Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics, 398, 655–678. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z
LibreCat
| DOI
| arXiv
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
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| 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
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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
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
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| 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
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| 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
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| 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
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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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| 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
2019 | Mastersthesis | LibreCat-ID: 31302
Schütte, P. (2019). Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces.
LibreCat
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
LibreCat
| DOI
2017 | Bachelorsthesis | LibreCat-ID: 31301
Schütte, P. (2017). Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks.
LibreCat
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
LibreCat
| 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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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31267
Guillarmou, C., Hilgert, J., & Weich, T. (2017). Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen, 370(3–4), 1231–1275. https://doi.org/10.1007/s00208-017-1576-5
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 32020
Küster, B. (2017). On the semiclassical functional calculus for h-dependent functions. Annals of Global Analysis and Geometry, 52(1), 57–97. https://doi.org/10.1007/s10455-017-9549-1
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| DOI
2017 | Journal Article | LibreCat-ID: 32022
Küster, B., & Ramacher, P. (2017). Quantum ergodicity and symmetry reduction. Journal of Functional Analysis, 273(1), 41–124. https://doi.org/10.1016/j.jfa.2017.02.013
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| DOI
2016 | Journal Article | LibreCat-ID: 31274
Borthwick, D., & Weich, T. (2016). Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. Journal of Spectral Theory, 6(2), 267–329. https://doi.org/10.4171/jst/125
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| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 31289
Weich, T. (2016). On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. Annales Henri Poincaré, 18(1), 37–52. https://doi.org/10.1007/s00023-016-0514-5
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI, J. F., FAURE, F., & Weich, T. (2015). Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems, 37(1), 1–58. https://doi.org/10.1017/etds.2015.34
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31293
Weich, T. (2015). Resonance Chains and Geometric Limits on Schottky Surfaces. Communications in Mathematical Physics, 337(2), 727–765. https://doi.org/10.1007/s00220-015-2359-z
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31294
Weich, T. (2014). Equivariant spectral asymptotics forh-pseudodifferential operators. Journal of Mathematical Physics, 55(10), Article 101501. https://doi.org/10.1063/1.4896698
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen, S., Faure, F., & Weich, T. (2014). Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity, 27(8), 1829–1858. https://doi.org/10.1088/0951-7715/27/8/1829
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31297
Weich, T., Barkhofen, S., Kuhl, U., Poli, C., & Schomerus, H. (2014). Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics, 16(3), Article 033029. https://doi.org/10.1088/1367-2630/16/3/033029
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 32025
Küster, B. (2014). Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra. Communications in Mathematics, 22(2), 141–149.
LibreCat
2013 | Journal Article | LibreCat-ID: 31298
Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., & Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters, 110(16), Article 164102. https://doi.org/10.1103/physrevlett.110.164102
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| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 31300
Potzuweit, A., Weich, T., Barkhofen, S., Kuhl, U., Stöckmann, H.-J., & Zworski, M. (2012). Weyl asymptotics: From closed to open systems. Physical Review E, 86(6), Article 066205. https://doi.org/10.1103/physreve.86.066205
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| arXiv