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 T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions. Journal of Differential Geometry (to appear) -- arXiv:210312127. Published online 2024.
LibreCat
| Files available
| arXiv
2024 | Journal Article | LibreCat-ID: 32101 |
Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonaces of Anosov actions. J Europ Math Soc. Published online 2024:1-36.
LibreCat
| Files available
2023 | Journal Article | LibreCat-ID: 31189
Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally symmetric spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 31059
Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics. 2023;398:655-678. doi:ttps://doi.org/10.1007/s00220-022-04538-z
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 31210
Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École polytechnique — Mathématiques. 2023;10:335-403. doi:10.5802/jep.220
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 53410
Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré. 2023;25(2):1607-1656. doi:10.1007/s00023-023-01379-x
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31982
Cekić M, Delarue B, Dyatlov S, Paternain GP. The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Inventiones mathematicae. 2022;229(1):303-394. doi:10.1007/s00222-022-01108-x
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31193
Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré. 2022;23(4):1283-1296. doi:10.1007/s00023-021-01121-5
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35306
Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923. doi:10.4171/jems/1103
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31057
Barkhofen S, Schütte P, Weich T. Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical. 2022;55(24). doi:10.1088/1751-8121/ac6d2b
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree. Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 32016
Delarue B, Ramacher P. Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions. Journal of Symplectic Geometry. 2021;19(6):1281-1337. doi:10.4310/JSG.2021.v19.n6.a1
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 31261
Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices. 2021;2021(11):8225-8296. doi:10.1093/imrn/rnz068
LibreCat
| DOI
| arXiv
2021 | Preprint | LibreCat-ID: 32099 |
Weich T, Budde J. Wave Front Sets of Nilpotent Lie Group Representations. arXiv:210302968v1. Published online 2021.
LibreCat
| Files available
2021 | Journal Article | LibreCat-ID: 31263
Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue. 2021;4:81-119. doi:10.5802/ahl.67
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 32006
Guillarmou C, Küster B. Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. Annales Henri Poincaré. 2021;22(11):3565-3617. doi:10.1007/s00023-021-01068-7
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 31264
Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics. 2020;378(2):917-941. doi:10.1007/s00220-020-03793-2
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 53415
Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics. 2020;378(2):917-941. doi:10.1007/s00220-020-03793-2
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 31265
Dyatlov S, Borthwick D, Weich T. Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. Journal of the European Mathematical Society. 2019;21(6):1595-1639. doi:10.4171/jems/867
LibreCat
| DOI
| arXiv
2019 | Mastersthesis | LibreCat-ID: 31302
Schütte P. Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces.; 2019.
LibreCat
2019 | Journal Article | LibreCat-ID: 53416
Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices. 2019;2021(11):8225-8296. doi:10.1093/imrn/rnz068
LibreCat
| DOI
2017 | Bachelorsthesis | LibreCat-ID: 31301
Schütte P. Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks.; 2017.
LibreCat
2017 | Journal Article | LibreCat-ID: 31268
Faure F, Weich T. Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics. 2017;356(3):755-822. doi:10.1007/s00220-017-3000-0
LibreCat
| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31272
Harris B, Weich T. Wave front sets of reductive Lie group representations III. Advances in Mathematics. 2017;313:176-236. doi:10.1016/j.aim.2017.03.025
LibreCat
| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31267
Guillarmou C, Hilgert J, Weich T. Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen. 2017;370(3-4):1231-1275. doi:10.1007/s00208-017-1576-5
LibreCat
| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 32020
Küster B. On the semiclassical functional calculus for h-dependent functions. Annals of Global Analysis and Geometry. 2017;52(1):57-97. doi:10.1007/s10455-017-9549-1
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 32022
Küster B, Ramacher P. Quantum ergodicity and symmetry reduction. Journal of Functional Analysis. 2017;273(1):41-124. doi:10.1016/j.jfa.2017.02.013
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 31274
Borthwick D, Weich T. Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. Journal of Spectral Theory. 2016;6(2):267-329. doi:10.4171/jst/125
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 31289
Weich T. On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. Annales Henri Poincaré. 2016;18(1):37-52. doi:10.1007/s00023-016-0514-5
LibreCat
| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI JF, FAURE F, Weich T. Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems. 2015;37(1):1-58. doi:10.1017/etds.2015.34
LibreCat
| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31293
Weich T. Resonance Chains and Geometric Limits on Schottky Surfaces. Communications in Mathematical Physics. 2015;337(2):727-765. doi:10.1007/s00220-015-2359-z
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31294
Weich T. Equivariant spectral asymptotics forh-pseudodifferential operators. Journal of Mathematical Physics. 2014;55(10). doi:10.1063/1.4896698
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity. 2014;27(8):1829-1858. doi: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. Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics. 2014;16(3). doi:10.1088/1367-2630/16/3/033029
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 32025
Küster B. Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra. Communications in Mathematics. 2014;22(2):141-149.
LibreCat
2013 | Journal Article | LibreCat-ID: 31298
Barkhofen S, Weich T, Potzuweit A, Stöckmann H-J, Kuhl U, Zworski M. Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters. 2013;110(16). doi:10.1103/physrevlett.110.164102
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 31300
Potzuweit A, Weich T, Barkhofen S, Kuhl U, Stöckmann H-J, Zworski M. Weyl asymptotics: From closed to open systems. Physical Review E. 2012;86(6). doi:10.1103/physreve.86.066205
LibreCat
| DOI
| arXiv