MARKOV CHAIN PERTURBATIONS OF A CLASS OF PARTIALLY EXPANDING ATTRACTORS

DOI10.1142/S0219493706001761zbMath1106.37022OpenAlexW2150064769MaRDI QIDQ3421619

Yan Zheng, Pei-Dong Liu

Publication date: 7 February 2007

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493706001761

zbMATH Keywords

Sinai-Ruelle-Bowen measuresMarkov chain perturbationspartially expanding attractors

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30)

Cites Work

• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Stochastic stability in some chaotic dynamical systems
• Random perturbations of transformations of an interval
• On differentiability of SRB states for partially hyperbolic systems
• Smooth ergodic theory of random dynamical systems
• Neighborhoods of hyperbolic sets
• SRB measures as zero-noise limits

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