Local Gibbs–Markov–Young structures for non-invertible systems

DOI10.1080/14689367.2015.1114592zbMath1408.37055OpenAlexW2253862468MaRDI QIDQ2820301

Xin Li

Publication date: 15 September 2016

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2015.1114592

zbMATH Keywords

large deviationdecay of correlationsGibbs-Markov-Young structure

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• From rates of mixing to recurrence times via large deviations
• 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
• Geometry of expanding absolutely continuous invariant measures and the liftability problem
• Gibbs-Markov-Young structures with (stretched) exponential tail for partially hyperbolic attractors
• Markov structures and decay of correlations for non-uniformly expanding dynamical systems
• Decay of correlations for nonuniformly expanding systems