Almost sure invariance principle for nonuniformly hyperbolic systems

DOI10.1007/s00220-005-1407-5zbMath1084.37024arXivmath/0503693OpenAlexW2145273827MaRDI QIDQ818611

Matthew Nicol, Ian Melbourne

Publication date: 21 March 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503693

zbMATH Keywords

central limit theoremflowsiterated logarithmdiscrete time systemsnonuniformly expanding hyperbolic systemsplanar periodic Lorentz flowStatistical limit laws

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Ergodic theory (37A99)

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