Smooth mixing Anosov flows in dimension three are exponentially mixing

DOI10.4007/annals.2023.197.1.2OpenAlexW4309826679MaRDI QIDQ2100728

Zhiyuan Zhang, Masato Tsujii

Publication date: 24 November 2022

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04293

zbMATH Keywords

Anosov flowcounting of periodic orbitsDolgopyat estimatesdecay of correlation

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Periodic orbits of vector fields and flows (37C27) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

Robust exponential mixing and convergence to equilibrium for singular-hyperbolic attracting sets ⋮ Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps

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