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math.SP2022★ 2 cited
Absence of principal eigenvalues for higher rank locally symmetric spaces
Tobias Weich, Lasse Lennart Wolf
Given a geometrically finite hyperbolic surface of infinite volume it is a classical result of Patterson that the positive Laplace-Beltrami operator has no -eigenvalues $\geq…
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…