Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction

DOI10.1016/j.aim.2009.10.010zbMath1185.37011arXiv0908.4570OpenAlexW2071970801MaRDI QIDQ2268615

José F. Alves, Vilton Pinheiro

Publication date: 8 March 2010

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

Full work available at URL: https://arxiv.org/abs/0908.4570

zbMATH Keywords

central limit theoremlarge deviationsdecay of correlationspartial hyperbolicityalmost sure invariance principleGibbs-Markov structure

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (11)

Building thermodynamics for non-uniformly hyperbolic maps ⋮ SRB measures for partially hyperbolic systems whose central direction is weakly expanding ⋮ SRB measures for attractors with continuous invariant splittings ⋮ Contribution to the ergodic theory of robustly transitive maps ⋮ Martingale-coboundary decomposition for families of dynamical systems ⋮ Statistical properties of diffeomorphisms with weak invariant manifolds ⋮ Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems ⋮ On the liftability of expanding stationary measures ⋮ Almost sure rates of mixing for partially hyperbolic attractors ⋮ Gibbs-Markov-Young structures with (stretched) exponential tail for partially hyperbolic attractors ⋮ SRB measures and Young towers for surface diffeomorphisms

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