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math-ph2022★ 9 cited
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…
math-ph2014★ 6 cited
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…