Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle
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Publication:1751303
DOI10.1007/s00220-017-3062-zzbMath1396.37038arXiv1701.03652OpenAlexW2772261677WikidataQ57920683 ScholiaQ57920683MaRDI QIDQ1751303
Publication date: 25 May 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.03652
Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items (12)
On the timescale at which statistical stability breaks down ⋮ Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation ⋮ A vector-valued almost sure invariance principle for random expanding on average cocycles ⋮ Variations around Eagleson’s theorem on mixing limit theorems for dynamical systems ⋮ Rates in almost sure invariance principle for slowly mixing dynamical systems ⋮ Rates in almost sure invariance principle for dynamical systems with some hyperbolicity ⋮ Non-stationary almost sure invariance principle for hyperbolic systems with singularities ⋮ Sharp statistical properties for a family of multidimensional nonMarkovian nonconformal intermittent maps ⋮ Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards ⋮ Almost sure invariance principle for random dynamical systems via Gouëzel's approach ⋮ Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations ⋮ Statistical Properties of the Rauzy-Veech-Zorich Map
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