Almost sure invariance principle for random dynamical systems via Gouëzel's approach

DOI10.1088/1361-6544/ac14a1zbMath1485.37048arXiv1912.12332OpenAlexW3194203178MaRDI QIDQ5010057

Davor Dragičević, Yeor Hafouta

Publication date: 24 August 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12332

zbMATH Keywords

random dynamical systemsalmost sure invariance principlehyperbolic dynamical systems

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Functional limit theorems; invariance principles (60F17) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) General theory of random and stochastic dynamical systems (37H05) Dynamical aspects of statistical mechanics (37A60) Random iteration (37H12)

Related Items (8)

Quenched limit theorems for random U(1) extensions of expanding maps ⋮ Quenched limit theorems for expanding on average cocycles ⋮ A vector-valued almost sure invariance principle for random expanding on average cocycles ⋮ Large deviations, moment estimates and almost sure invariance principles for skew products with mixing base maps and expanding-on-average fibers ⋮ Quenched and annealed equilibrium states for random Ruelle expanding maps and applications ⋮ Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails ⋮ Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations ⋮ An almost sure invariance principle for some classes of non-stationary mixing sequences

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