Geometry of expanding absolutely continuous invariant measures and the liftability problem

DOI10.1016/j.anihpc.2012.06.004zbMath1410.37002arXiv0910.2547OpenAlexW2162859292MaRDI QIDQ1946695

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

Publication date: 15 April 2013

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2547

zbMATH Keywords

positive Lyapunov exponentsGibbs-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)

Related Items

Gibbs-Markov-Young structures, ,, Yet another induction scheme for non-uniformly expanding transformations, SRB measures for partially hyperbolic systems whose central direction is weakly expanding, Almost sure mixing rates for non-uniformly expanding maps, Maximal large deviations and slow recurrences in weakly chaotic systems, From rates of mixing to recurrence times via large deviations, On the liftability of expanding stationary measures, Local Gibbs–Markov–Young structures for non-invertible systems, Almost sure rates of mixing for partially hyperbolic attractors, Gibbs-Markov-Young structures with (stretched) exponential tail for partially hyperbolic attractors, Young towers for product systems, SRB measures and Young towers for surface diffeomorphisms

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