Sharp polynomial bounds on the number of Pollicott–Ruelle resonances
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Publication:2925261
DOI10.1017/etds.2013.3zbMath1332.37006arXiv1208.4330OpenAlexW2154719177MaRDI QIDQ2925261
Semyon Dyatlov, Maciej Zworski, Kiril Datchev
Publication date: 21 October 2014
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.4330
Ergodicity, mixing, rates of mixing (37A25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (13)
Pollicott-Ruelle resonances for open systems ⋮ Band structure of the Ruelle spectrum of contact Anosov flows ⋮ Geodesic flows on negatively curved manifolds and the semi-classical zeta function ⋮ Stochastic stability of Pollicott-Ruelle resonances ⋮ Fractal Weyl law for the Ruelle spectrum of Anosov flows ⋮ Higher rank quantum-classical correspondence ⋮ Fractal Weyl laws and wave decay for general trapping ⋮ A local trace formula for Anosov flows ⋮ High frequency limits for invariant Ruelle densities ⋮ Resonance projectors and asymptotics for 𝑟-normally hyperbolic trapped sets ⋮ Decay of correlations for normally hyperbolic trapping ⋮ Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows ⋮ The semiclassical zeta function for geodesic flows on negatively curved manifolds
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