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49 Publications
2024 | Journal Article | LibreCat-ID: 32097 | 
SRB Measures of Anosov Actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry (to Appear) -- ArXiv:2103.12127 (2024).
LibreCat
| Files available
| arXiv
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry (to Appear) -- ArXiv:2103.12127 (2024).
2024 | Preprint | LibreCat-ID: 51204
Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces
C. Lutsko, T. Weich, L.L. Wolf, ArXiv:2402.02530 (2024).
LibreCat
| arXiv
C. Lutsko, T. Weich, L.L. Wolf, ArXiv:2402.02530 (2024).
2024 | Journal Article | LibreCat-ID: 32101 |
Ruelle-Taylor resonaces of Anosov actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.
LibreCat
| Files available
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.
2024 | Preprint | LibreCat-ID: 53414
Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing
B. Delarue, D. Monclair, A. Sanders, ArXiv:2403.14257 (2024).
LibreCat
| arXiv
B. Delarue, D. Monclair, A. Sanders, ArXiv:2403.14257 (2024).
2024 | Preprint | LibreCat-ID: 53413
Quantum resonances and scattering poles of classical rank one locally symmetric spaces
B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024).
LibreCat
| arXiv
B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024).
2023 | Journal Article | LibreCat-ID: 31189
Absence of principal eigenvalues for higher rank locally symmetric spaces
T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023).
LibreCat
| DOI
| arXiv
T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023).
2023 | Journal Article | LibreCat-ID: 31059
Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems
P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678.
LibreCat
| DOI
| arXiv
P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678.
2023 | Preprint | LibreCat-ID: 51206
Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions
P. Schütte, T. Weich, ArXiv:2308.13463 (2023).
LibreCat
| arXiv
P. Schütte, T. Weich, ArXiv:2308.13463 (2023).
2023 | Preprint | LibreCat-ID: 51207
Temperedness of locally symmetric spaces: The product case
T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023).
LibreCat
| arXiv
T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023).
2023 | Journal Article | LibreCat-ID: 31190
Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
LibreCat
| arXiv
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
2023 | Preprint | LibreCat-ID: 51205
Spectral correspondences for finite graphs without dead ends
K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
LibreCat
| arXiv
K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
2023 | Journal Article | LibreCat-ID: 31210
Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters
C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
LibreCat
| DOI
| arXiv
C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
2023 | Preprint | LibreCat-ID: 53404
$L^2$-spectrum, growth indicator function and critical exponent on locally symmetric spaces
L.L. Wolf, H.-W. Zhang, ArXiv:2311.11770 (2023).
LibreCat
| arXiv
L.L. Wolf, H.-W. Zhang, ArXiv:2311.11770 (2023).
2023 | Journal Article | LibreCat-ID: 53410
Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models
B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.
LibreCat
| DOI
B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.
2023 | Preprint | LibreCat-ID: 53412
Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity
B. Delarue, P. Ramacher, M. Schmitt, ArXiv:2312.03634 (2023).
LibreCat
| arXiv
B. Delarue, P. Ramacher, M. Schmitt, ArXiv:2312.03634 (2023).
2023 | Preprint | LibreCat-ID: 53411
A Riemann-Roch formula for singular reductions by circle actions
B. Delarue, L. Ioos, P. Ramacher, ArXiv:2302.09894 (2023).
LibreCat
| arXiv
B. Delarue, L. Ioos, P. Ramacher, ArXiv:2302.09894 (2023).
2022 | Journal Article | LibreCat-ID: 31982
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae 229 (2022) 303–394.
LibreCat
| DOI
M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae 229 (2022) 303–394.
2022 | Journal Article | LibreCat-ID: 31193
Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature
M. Kolb, T. Weich, L.L. Wolf, Annales Henri Poincaré 23 (2022) 1283–1296.
LibreCat
| DOI
| arXiv
M. Kolb, T. Weich, L.L. Wolf, Annales Henri Poincaré 23 (2022) 1283–1296.
2022 | Journal Article | LibreCat-ID: 35306
Ruelle–Pollicott resonances for manifolds with hyperbolic cusps
Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society 24 (2022) 851–923.
LibreCat
| DOI
Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society 24 (2022) 851–923.
2022 | Journal Article | LibreCat-ID: 31057
Semiclassical formulae For Wigner distributions
S. Barkhofen, P. Schütte, T. Weich, Journal of Physics A: Mathematical and Theoretical 55 (2022).
LibreCat
| DOI
| arXiv
S. Barkhofen, P. Schütte, T. Weich, Journal of Physics A: Mathematical and Theoretical 55 (2022).
2022 | Journal Article | LibreCat-ID: 35322
Poisson transforms for trees of bounded degree
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
LibreCat
| DOI
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
2021 | Journal Article | LibreCat-ID: 32016
Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions
B. Delarue, P. Ramacher, Journal of Symplectic Geometry 19 (2021) 1281–1337.
LibreCat
| DOI
B. Delarue, P. Ramacher, Journal of Symplectic Geometry 19 (2021) 1281–1337.
2021 | Preprint | LibreCat-ID: 31058
Resonances and weighted zeta functions for obstacle scattering via smooth models
P. Schütte, T. Weich, B. Delarue, (2021).
LibreCat
| arXiv
P. Schütte, T. Weich, B. Delarue, (2021).
2021 | Journal Article | LibreCat-ID: 31261
Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces
B. Küster, T. Weich, International Mathematics Research Notices 2021 (2021) 8225–8296.
LibreCat
| DOI
| arXiv
B. Küster, T. Weich, International Mathematics Research Notices 2021 (2021) 8225–8296.
2021 | Preprint | LibreCat-ID: 32099 |
Wave Front Sets of Nilpotent Lie Group Representations
T. Weich, J. Budde, ArXiv:2103.02968v1 (2021).
LibreCat
| Files available
T. Weich, J. Budde, ArXiv:2103.02968v1 (2021).
2021 | Journal Article | LibreCat-ID: 31263
High frequency limits for invariant Ruelle densities
C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.
LibreCat
| DOI
| arXiv
C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.
2021 | Journal Article | LibreCat-ID: 32006
Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds
C. Guillarmou, B. Küster, Annales Henri Poincaré 22 (2021) 3565–3617.
LibreCat
| DOI
C. Guillarmou, B. Küster, Annales Henri Poincaré 22 (2021) 3565–3617.
2020 | Journal Article | LibreCat-ID: 31264
Pollicott-Ruelle Resonant States and Betti Numbers
B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
LibreCat
| DOI
B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
2020 | Journal Article | LibreCat-ID: 53415
Pollicott-Ruelle Resonant States and Betti Numbers
B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
LibreCat
| DOI
B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
2019 | Journal Article | LibreCat-ID: 31265
Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich
S. Dyatlov, D. Borthwick, T. Weich, Journal of the European Mathematical Society 21 (2019) 1595–1639.
LibreCat
| DOI
| arXiv
S. Dyatlov, D. Borthwick, T. Weich, Journal of the European Mathematical Society 21 (2019) 1595–1639.
2019 | Preprint | LibreCat-ID: 31191
Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces
M. Kolb, T. Weich, L.L. Wolf, ArXiv:1909.06183 (2019).
LibreCat
| arXiv
M. Kolb, T. Weich, L.L. Wolf, ArXiv:1909.06183 (2019).
2019 | Mastersthesis | LibreCat-ID: 31302
Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces
P. Schütte, Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces, 2019.
LibreCat
P. Schütte, Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces, 2019.
2019 | Journal Article | LibreCat-ID: 53416
Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces
B. Küster, T. Weich, International Mathematics Research Notices 2021 (2019) 8225–8296.
LibreCat
| DOI
B. Küster, T. Weich, International Mathematics Research Notices 2021 (2019) 8225–8296.
2017 | Bachelorsthesis | LibreCat-ID: 31301
Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks
P. Schütte, Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks, 2017.
LibreCat
P. Schütte, Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks, 2017.
2017 | Journal Article | LibreCat-ID: 31268
Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps
F. Faure, T. Weich, Communications in Mathematical Physics 356 (2017) 755–822.
LibreCat
| DOI
| arXiv
F. Faure, T. Weich, Communications in Mathematical Physics 356 (2017) 755–822.
2017 | Journal Article | LibreCat-ID: 31272
Wave front sets of reductive Lie group representations III
B. Harris, T. Weich, Advances in Mathematics 313 (2017) 176–236.
LibreCat
| DOI
| arXiv
B. Harris, T. Weich, Advances in Mathematics 313 (2017) 176–236.
2017 | Journal Article | LibreCat-ID: 31267
Classical and quantum resonances for hyperbolic surfaces
C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275.
LibreCat
| DOI
| arXiv
C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275.
2017 | Journal Article | LibreCat-ID: 32020
On the semiclassical functional calculus for h-dependent functions
B. Küster, Annals of Global Analysis and Geometry 52 (2017) 57–97.
LibreCat
| DOI
B. Küster, Annals of Global Analysis and Geometry 52 (2017) 57–97.
2017 | Journal Article | LibreCat-ID: 32022
Quantum ergodicity and symmetry reduction
B. Küster, P. Ramacher, Journal of Functional Analysis 273 (2017) 41–124.
LibreCat
| DOI
B. Küster, P. Ramacher, Journal of Functional Analysis 273 (2017) 41–124.
2016 | Journal Article | LibreCat-ID: 31274
Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions
D. Borthwick, T. Weich, Journal of Spectral Theory 6 (2016) 267–329.
LibreCat
| DOI
| arXiv
D. Borthwick, T. Weich, Journal of Spectral Theory 6 (2016) 267–329.
2016 | Journal Article | LibreCat-ID: 31289
On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows
T. Weich, Annales Henri Poincaré 18 (2016) 37–52.
LibreCat
| DOI
| arXiv
T. Weich, Annales Henri Poincaré 18 (2016) 37–52.
2015 | Journal Article | LibreCat-ID: 31291
Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps
J.F. ARNOLDI, F. FAURE, T. Weich, Ergodic Theory and Dynamical Systems 37 (2015) 1–58.
LibreCat
| DOI
| arXiv
J.F. ARNOLDI, F. FAURE, T. Weich, Ergodic Theory and Dynamical Systems 37 (2015) 1–58.
2015 | Journal Article | LibreCat-ID: 31293
Resonance Chains and Geometric Limits on Schottky Surfaces
T. Weich, Communications in Mathematical Physics 337 (2015) 727–765.
LibreCat
| DOI
| arXiv
T. Weich, Communications in Mathematical Physics 337 (2015) 727–765.
2014 | Journal Article | LibreCat-ID: 31294
Equivariant spectral asymptotics forh-pseudodifferential operators
T. Weich, Journal of Mathematical Physics 55 (2014).
LibreCat
| DOI
| arXiv
T. Weich, Journal of Mathematical Physics 55 (2014).
2014 | Journal Article | LibreCat-ID: 31296
Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum
S. Barkhofen, F. Faure, T. Weich, Nonlinearity 27 (2014) 1829–1858.
LibreCat
| DOI
| arXiv
S. Barkhofen, F. Faure, T. Weich, Nonlinearity 27 (2014) 1829–1858.
2014 | Journal Article | LibreCat-ID: 31297
Formation and interaction of resonance chains in the open three-disk system
T. Weich, S. Barkhofen, U. Kuhl, C. Poli, H. Schomerus, New Journal of Physics 16 (2014).
LibreCat
| DOI
| arXiv
T. Weich, S. Barkhofen, U. Kuhl, C. Poli, H. Schomerus, New Journal of Physics 16 (2014).
2014 | Journal Article | LibreCat-ID: 32025
Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra
B. Küster, Communications in Mathematics 22 (2014) 141–149.
LibreCat
B. Küster, Communications in Mathematics 22 (2014) 141–149.
2013 | Journal Article | LibreCat-ID: 31298
Experimental Observation of the Spectral Gap in Microwave n-Disk Systems
S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, M. Zworski, Physical Review Letters 110 (2013).
LibreCat
| DOI
| arXiv
S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, M. Zworski, Physical Review Letters 110 (2013).
2012 | Journal Article | LibreCat-ID: 31300
Weyl asymptotics: From closed to open systems
A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, M. Zworski, Physical Review E 86 (2012).
LibreCat
| DOI
| arXiv
A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, M. Zworski, Physical Review E 86 (2012).