Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension

DOI10.1090/S1079-6762-03-00106-9zbMath1016.37014OpenAlexW2133868051MaRDI QIDQ4708803

Vilton Pinheiro, Stefano Luzzatto, José F. Alves

Publication date: 19 June 2003

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229058

zbMATH Keywords

Riemannian manifoldsdiscontinuitiesexpanding mapscritical setsdecay rate of correlationsMarkov tower structure

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)

Related Items

Physical measures and absolute continuity for one-dimensional center direction

Cites Work

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• Statistical properties of dynamical systems with some hyperbolicity
• Recurrence times and rates of mixing
• SRB measures for partially hyperbolic systems whose central direction is mostly expanding
• Markov structures and decay of correlations for non-uniformly expanding dynamical systems
• Statistical stability for robust classes of maps with non-uniform expansion
• Lyapunov exponents and rates of mixing for one-dimensional maps
• SRB measures for non-hyperbolic systems with multidimensional expansion