A strong pair correlation bound implies the CLT for Sinai billiards

DOI10.1007/s10955-010-9987-7zbMath1201.37056arXiv0908.0027OpenAlexW3102936788MaRDI QIDQ983708

Mikko Stenlund

Publication date: 24 July 2010

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

Full work available at URL: https://arxiv.org/abs/0908.0027

zbMATH Keywords

central limit theorempair correlationAnosov diffeomorphismSinai billiards

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (7)

Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Estimates for Correlation in Dynamical Systems: From Hölder Continuous Functions to General Observables ⋮ A coupling approach to random circle maps expanding on the average ⋮ A note on the finite-dimensional distributions of dispersing billiard processes ⋮ Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems ⋮ A vector-valued almost sure invariance principle for Sinai billiards with random scatterers ⋮ Stein’s method of normal approximation for dynamical systems

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