The pressure and higher correlations for an Anosov diffeomorphism

DOI10.1017/S0143385701001407zbMath0992.37024OpenAlexW2092759521WikidataQ127630919 ScholiaQ127630919MaRDI QIDQ2730713

Toshikazu Sunada, Motoko Kotani

Publication date: 6 September 2002

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385701001407

zbMATH Keywords

pressuresymbolic dynamicsGibbs measureAnosov diffeomorphismexponential decay of correlationRuelle-Perron-Frobenius operatorhigher correlation functionshigher covariance

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

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