Publications
2020
High frequency limits for invariant Ruelle densities
C. Guillarmou and J. Hilgert and T. Weich -- to appear in Annales Henri Lebesgue -- arXiv-version
Pollicott-Ruelle resonant states and Betti numbers
B. Küster and T. Weich --to appear in Communications in Mathematical Physics -- arxiv-version
2019
Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces
M. Kolb and T. Weich and L. Wolf -- arxiv-version
Quantum-classical correspondence on associated vector bundles over locally symmetric spaces
B. Küster and T. Weich -- IMRN April 2019 rnz068 -- arxiv-version
Improved fractal Weyl upper bounds for hyperbolic manifolds
S. Dyatlov, D. Borthwick (Appendix) and T. Weich (Appendix) -- Journal of the EMS (doi: 10.4171/JEMS/867) -- arxiv-version
2018
Classical and quantum resonances on hyperbolic surfaces
C. Guillarmou and J. Hilgert and T. Weich -- Mathematische Annalen 370 (3-4), 1231-1275-- arxiv-version
2017
Ruelle Resonance for manifolds with hyperbolic cusps
Y. Guedes-Bonthonneau and T. Weich -- arxiv-version
Asymptotic spectral gap for open partially expanding maps
F. Faure and T. Weich -- Comm. Math. Phys.356(3), 755-822 -- arxiv-version
Wave Front Sets of Reductive Lie Group Representations III
B. Harris and T. Weich -- Advances in Mathematics, Volume 313 (2017) p176-236 -- arxiv-version
On the support of Pollicott-Ruelle resonant states for Anosov flows
T. Weich Annales Henri Poincaré, 18(1), 37-52 -- arxiv-version
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 Vol 37(2017), pp1-58 -- arxiv-version
2016
Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions
D. Borthwick and T. Weich -- Journal of Spectral Theory 6(2) p. 267-329 -- arxiv-version
2015
Resonance chains and geometric limits on Schottky surfaces
T. Weich -- Communications in Mathematical Physics: Volume 337, Issue 2 (2015), Page 727-765 -- arxiv-version
2014
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 arxiv-version
Formation and interaction of resonance chains in the open 3-disk system
T. Weich, S. Barkhofen, U.Kuhl, C. Poli, H. Schomerus -- New Journal of Physics 16 (2014) 033029 -- arxiv-version
Equivariant spectral asymptotics for h-pseudodifferential operators
T. Weich -- J. Math. Phys. 55, 101501 (2014). arxiv-version
2013
Experimental observation of spectral gap in microwave n-disk systems
S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stoeckmann, U. Kuhl, M. Zworski -- Physical Review Letters (Vol.110, 164102 (2013)) -- arxiv-version
2012
Weyl asymptotics: From closed to open systems
A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann and M. Zworski -- Physical Review E (Vol.86, No.6) -- arxiv-version