SRB measures for partially hyperbolic systems whose central direction is weakly expanding

DOI10.4171/JEMS/731zbMath1378.37046arXiv1403.2937OpenAlexW2754082103MaRDI QIDQ2408255

Stefano Luzzatto, José F. Alves, Carla L. Dias

Publication date: 12 October 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2937

zbMATH Keywords

SRB measureLyapunov exponentnonuniform expansionGibbs-Markov-Young structure

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (19)

On the abundance of Sinai-Ruelle-Bowen measures ⋮ When a physical-like measure is physical or SRB? ⋮ Building thermodynamics for non-uniformly hyperbolic maps ⋮ Maximal large deviations and slow recurrences in weakly chaotic systems ⋮ A note on partially hyperbolic systems with mostly expanding centers ⋮ Persistent non-statistical dynamics in one-dimensional maps ⋮ Random‐like properties of chaotic forcing ⋮ Equilibrium states for certain partially hyperbolic attractors ⋮ SRB measures for \(C^{\infty}\) surface diffeomorphisms ⋮ Some statistical properties of almost Anosov diffeomorphisms ⋮ Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps ⋮ Empirical measures of partially hyperbolic attractors ⋮ Physical measures for partially hyperbolic flows with mostly contracting centre ⋮ The geometric approach for constructing Sinai-Ruelle-Bowen measures ⋮ On the liftability of expanding stationary measures ⋮ Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails ⋮ Almost sure rates of mixing for partially hyperbolic attractors ⋮ Extensions with shrinking fibers ⋮ SRB measures and Young towers for surface diffeomorphisms

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