44 citations · 148 across the 28 of their papers we have counts for
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Semiclassical Formulae For Wigner Distributions
Sonja Barkhofen, Philipp Schütte, Tobias Weich
In this paper we give an overview over some aspects of the modern mathematical theory of Ruelle resonances for chaotic, i.e. uniformly hyperbolic, dynamical systems and their impli…
Resonance chains and geometric limits on Schottky surfaces
Tobias Weich
Resonance chains have been observed in many different physical and mathematical scattering problems. Recently numerical studies linked the phenomenon of resonances chains to an app…
Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum
Sonja Barkhofen, Frédéric Faure, Tobias Weich
In many non-integrable open systems in physics and mathematics resonances have been found to be surprisingly ordered along curved lines in the complex plane. In this article we pro…
Equivariant spectral asymptotics for h-pseudodifferential operators
Tobias Weich
We prove equivariant spectral asymptotics for -pseudodifferential operators for compact orthogonal group actions generalizing results of El-Houakmi and Helffer (1991) and Cassa…
Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps
Jean-François Arnoldi, Frédéric Faure, Tobias Weich
We consider a simple model of an open partially expanding map. Its trapped set K in phase space is a fractal set. We first show that there is a well defined discrete spectrum of Ru…