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Resonance chains: On Schottky surfaces the resonances of the Laplacian often form interesting chains (See Borthwick-Weich J. Spec. Theor 6(2) (2016) or Weich Comm.Math.Phys. 337(2) (2015)) Bildinformationen anzeigen

Resonance chains: On Schottky surfaces the resonances of the Laplacian often form interesting chains (See Borthwick-Weich J. Spec. Theor 6(2) (2016) or Weich Comm.Math.Phys. 337(2) (2015))

Publications
 

2022

Semiclassical formulae for Wigner distributions

S. Barkhofen, P. Schütte and T. Weich -- arxiv-version
 

2021

Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems

P. Schütte and T. Weich with an appendix with S. Barkhofen -- arxiv-version (numerical demonstrations)

Ruelle Resonance for manifolds with hyperbolic cusps

Y. Guedes-Bonthonneau and T. Weich -- Journal of the EMS -- arxiv-version

Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models

B.Küster, P. Schütte and T. Weich -- arxiv-version

Branching of unitary O(1,n+1)-representations with non-trivial (g,K)-cohomology

C. Weiske -- arxiv-version

Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds

C. Guillarmou and B. Küster -- Annales Henri Poincaré -- arxiv-version

Poisson Transforms for Trees of Bounded Degree

K.-U. Bux and J. Hilgert and T. Weich -- to appear in Journal of Spectral Theory -- arxiv-version

SRB measures for Anosov actions

Y. Guedes-Bonthonneau and C. Guillarmou and T. Weich -- arxiv-version

Higher Rank Quantum Classical Correspondence

J. Hilgert and T. Weich and L. Wolf -- arxiv-version

Wave Front Sets of Nilpotent Lie Group Representations

J. Budde and T. Weich -- arxiv-version

Quantum-classical correspondence on associated vector bundles over locally symmetric spaces

B. Küster and T. Weich -- IMRN, Vol. 2021, Issue 11, 2021, p.8225–8296 -- arxiv-version

Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature

M. Kolb and T. Weich and L. Wolf -- Annales Henri Poincare -- arxiv-version

High frequency limits for invariant Ruelle densities

C. Guillarmou and J. Hilgert and T. Weich -- Annales Henri Lebesgue, Volume 4 (2021) , pp. 81-119 -- arXiv-version
 

2020

The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds

M. Cekic and S. Dyatlov and B. Küster and G. Paternain -- to appear in Inventiones Mathematicae -- arxiv-version

Ruelle-Taylor resonances of Anosov actions

Y. Guedes-Bonthonneau, C. Guillarmou, J. Hilgert, T. Weich -- arXiv-preprint

Pollicott-Ruelle resonant states and Betti numbers

B. Küster and T. Weich -- Communications in Mathematical Physics, 378(2), 917-941 -- arxiv-version
 

2019

Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces

M. Kolb and T. Weich and L. Wolf -- arxiv-version
(The main result of the spectral convergence is also contained with a simplified proof and in more general setting in https://arxiv.org/abs/2011.06434. This version still contains some explicit error estimate not contained in  https://arxiv.org/abs/2011.06434.)

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

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
 

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