Convergence of moments for Axiom A and non-uniformly hyperbolic flows

DOI10.1017/S0143385711000174zbMath1263.37047WikidataQ114012321 ScholiaQ114012321MaRDI QIDQ2908172

Andrei Török, Ian Melbourne

Publication date: 4 September 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Young towersconvergence of momentsnon-uniformly hyperbolicuniformly hyperbolicLorenz attractorsHénon-like attractor

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodicity, mixing, rates of mixing (37A25) Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (13)

Smooth approximation of stochastic differential equations ⋮ Deterministic homogenization under optimal moment assumptions for fast-slow systems. I ⋮ \(L^{p}\) norms, nodal sets, and quantum ergodicity ⋮ Statistical properties for flows with unbounded roof function, including the Lorenz attractor ⋮ Some statistical properties of almost Anosov diffeomorphisms ⋮ New horizons in multidimensional diffusion: The Lorentz gas and the Riemann hypothesis ⋮ Martingale approximations and anisotropic Banach spaces with an application to the time-one map of a Lorentz gas ⋮ Martingale-coboundary decomposition for families of dynamical systems ⋮ Joint coboundaries ⋮ Convergence of moments for dispersing billiards with cusps ⋮ Sharp statistical properties for a family of multidimensional nonMarkovian nonconformal intermittent maps ⋮ Rate of convergence in the weak invariance principle for deterministic systems ⋮ Refined central limit theorem and infinite density tail of the Lorentz gas from Lévy walk

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