A survey of recent results on some statistical features of non-uniformly expanding maps

DOI10.3934/dcds.2006.15.1zbMath1106.37020OpenAlexW2056051030MaRDI QIDQ2503183

José F. Alves

Publication date: 14 September 2006

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.15.1

zbMATH Keywords

entropystochastic stabilitySRB measuresdecay of correlations

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps ⋮ Maximizing entropy measures for random dynamical systems ⋮ POLYNOMIAL DECAY OF CORRELATIONS IN THE GENERALIZED BAKER'S TRANSFORMATION ⋮ First hyperbolic times for intermittent maps with unbounded derivative

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