Distribution of Resonances for Hyperbolic Surfaces

DOI10.1080/10586458.2013.857282zbMath1321.58021arXiv1305.4850OpenAlexW2077608758MaRDI QIDQ5418073

David Borthwick

Publication date: 26 May 2014

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4850

zbMATH Keywords

spectral theoryresonancesSelberg zeta functionhyperbolic surfaces

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

Resonances for open quantum maps and a fractal uncertainty principle, Semiclassical formulae for Wigner distributions, Spectral gaps, additive energy, and a fractal uncertainty principle, Hyperbolic systems, zeta functions and other friends, Global normal form and asymptotic spectral gap for open partially expanding maps, Uniform hyperbolicity of a class of scattering maps, Weyl laws for open quantum maps, Meromorphic continuation of weighted zeta functions on open hyperbolic systems, Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps, Spectral gaps without the pressure condition, Mathematical study of scattering resonances, A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area, Computation of scattering matrices and their derivatives for waveguides, Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation, A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions, Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces, An introduction to fractal uncertainty principle, Resonance chains and geometric limits on Schottky surfaces

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