Temporal distributional limit theorems for dynamical systems

DOI10.1007/s10955-016-1689-3zbMath1368.37016OpenAlexW2561837687MaRDI QIDQ526586

Omri M. Sarig, Dmitry Dolgopyat

Publication date: 15 May 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-016-1689-3

zbMATH Keywords

renormalizationdistributional limit theoremirrational rotationhorocycle flowAnosov flowergodic integralergodic sum

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical systems involving maps of the circle (37E10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) General theory of distribution modulo (1) (11K06) Flows on surfaces (37E35) Homogeneous flows (37A17)

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