Equilibrium measures and Cramer asymptotics in a non-invertible dynamical system with power-law mixing

DOI10.1070/SM2004V195N09ABEH000848zbMath1082.37014MaRDI QIDQ5693807

D. S. Sarazhinsky

Publication date: 28 September 2005

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

zbMATH Keywords

spectral propertiesshiftcentral limit theoremPerron-Frobenius operatorsCramer-type theorempower-law mixingspace of finite-valued one-sided sequences

Mathematics Subject Classification ID

Large deviations (60F10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Random dynamical systems (37H99)

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