Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows
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Publication:5877466
DOI10.1090/memo/1404OpenAlexW2773407410MaRDI QIDQ5877466
Publication date: 13 February 2023
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.03103
periodic orbitsspectrumzeta functiondecay of correlationsAnosov flowRuelle transfer operatorcontraction operatorscontact flow
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
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