Special ergodic theorems and dynamical large deviations

DOI10.1088/0951-7715/25/11/3189zbMath1256.37023OpenAlexW2083925589MaRDI QIDQ4650201

Dmitry Ryzhov, Stanislav S. Minkov, Victor Kleptsyn

Publication date: 23 November 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/25/11/3189

zbMATH Keywords

Hausdorff dimensionflowsSRB measurenon-uniformly expanding mapsdynamical large deviationspartially hyperbolic mapsspecial ergodic theoremstransitive hyperbolic attractors

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

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A \(C^1\) Anosov diffeomorphism with a horseshoe that attracts almost any point ⋮ Weak Gibbs measures: speed of convergence to entropy, topological and geometrical aspects ⋮ Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets ⋮ Attractors and skew products ⋮ Anosov diffeomorphism with a horseshoe that attracts almost any point ⋮ Limiting measure of Lee-Yang zeros for the Cayley tree ⋮ Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open

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