Publikationen

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).
DOI arXiv
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).
DOI arXiv
Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators
T. Weich, Journal of Mathematical Physics 55 (2014).
DOI arXiv
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.
DOI arXiv
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).
DOI arXiv
Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra
B. Küster, Communications in Mathematics 22 (2014) 141–149.
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.
DOI arXiv
Resonance Chains and Geometric Limits on Schottky Surfaces
T. Weich, Communications in Mathematical Physics 337 (2015) 727–765.
DOI arXiv
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.
DOI arXiv
On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows
T. Weich, Annales Henri Poincaré 18 (2016) 37–52.
DOI arXiv
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.
Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps
F. Faure, T. Weich, Communications in Mathematical Physics 356 (2017) 755–822.
DOI arXiv
Wave front sets of reductive Lie group representations III
B. Harris, T. Weich, Advances in Mathematics 313 (2017) 176–236.
DOI arXiv
Classical and quantum resonances for hyperbolic surfaces
C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275.
DOI arXiv
On the semiclassical functional calculus for h-dependent functions
B. Küster, Annals of Global Analysis and Geometry 52 (2017) 57–97.
DOI
Quantum ergodicity and symmetry reduction
B. Küster, P. Ramacher, Journal of Functional Analysis 273 (2017) 41–124.
DOI
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.
DOI arXiv
Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces
M. Kolb, T. Weich, L.L. Wolf, ArXiv:1909.06183 (2019).
arXiv
Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces
P. Schütte, Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces, 2019.
Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces
B. Küster, T. Weich, International Mathematics Research Notices 2021 (2019) 8225–8296.
DOI
Pollicott-Ruelle Resonant States and Betti Numbers
B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
DOI
Pollicott-Ruelle Resonant States and Betti Numbers
B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
DOI
Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions
B. Delarue, P. Ramacher, Journal of Symplectic Geometry 19 (2021) 1281–1337.
DOI
Resonances and weighted zeta functions for obstacle scattering via smooth models
P. Schütte, T. Weich, B. Delarue, (2021).
arXiv
Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces
B. Küster, T. Weich, International Mathematics Research Notices 2021 (2021) 8225–8296.
DOI arXiv
Wave Front Sets of Nilpotent Lie Group Representations
T. Weich, J. Budde, ArXiv:2103.02968v1 (2021).
PDF
High frequency limits for invariant Ruelle densities
C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.
DOI arXiv
Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds
C. Guillarmou, B. Küster, Annales Henri Poincaré 22 (2021) 3565–3617.
DOI
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.
DOI
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.
DOI arXiv
Ruelle–Pollicott resonances for manifolds with hyperbolic cusps
Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society 24 (2022) 851–923.
DOI
Semiclassical formulae For Wigner distributions
S. Barkhofen, P. Schütte, T. Weich, Journal of Physics A: Mathematical and Theoretical 55 (2022).
DOI arXiv
Poisson transforms for trees of bounded degree
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
DOI
Absence of principal eigenvalues for higher rank locally symmetric spaces
T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023).
DOI arXiv
Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems
P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678.
DOI arXiv
Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions
P. Schütte, T. Weich, ArXiv:2308.13463 (2023).
arXiv
Temperedness of locally symmetric spaces: The product case
T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023).
arXiv
Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
arXiv
Spectral correspondences for finite graphs without dead ends
K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
arXiv
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.
DOI arXiv
$L^2$-spectrum, growth indicator function and critical exponent on locally symmetric spaces
L.L. Wolf, H.-W. Zhang, ArXiv:2311.11770 (2023).
arXiv
Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models
B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.
DOI
Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity
B. Delarue, P. Ramacher, M. Schmitt, ArXiv:2312.03634 (2023).
arXiv
A Riemann-Roch formula for singular reductions by circle actions
B. Delarue, L. Ioos, P. Ramacher, ArXiv:2302.09894 (2023).
arXiv
SRB Measures of Anosov Actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127 (2024).
PDF arXiv
Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces
C. Lutsko, T. Weich, L.L. Wolf, ArXiv:2402.02530 (2024).
arXiv
Ruelle-Taylor resonaces of Anosov actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.
PDF
Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing
B. Delarue, D. Monclair, A. Sanders, ArXiv:2403.14257 (2024).
arXiv
Quantum resonances and scattering poles of classical rank one locally symmetric spaces
B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024).
arXiv
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