A central limit theorem for time-dependent dynamical systems

DOI10.1007/s10955-012-0451-8zbMath1254.37009arXiv1111.0027OpenAlexW2147936186MaRDI QIDQ2428517

Péter Nándori, Tamás Varjú, Domokos Szász

Publication date: 26 April 2012

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

Full work available at URL: https://arxiv.org/abs/1111.0027

zbMATH Keywords

central limit theoremmartingale approximationtime-dependent systemslimiting variance

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems involving maps of the interval (37E05)

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Cites Work

• Central limit theorem for stationary products of toral automorphisms
• Memory loss for time-dependent dynamical systems
• A martingale proof of Dobrushin's theorem for non-homogeneous Markov chains
• Quenched CLT for random toral automorphism
• Non-stationary compositions of Anosov diffeomorphisms
• Brownian Brownian motion. I
• Higher cohomology for Abelian groups of toral automorphisms
• Higher cohomology for abelian groups of toral automorphisms II: the partially hyperbolic case, and corrigendum
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