Weak invariance principle and exponential bounds for some special functions of intermittent maps

DOI10.1214/09-IMSCOLL505zbMath1243.37008OpenAlexW2165566652MaRDI QIDQ2900948

Florence Merlevède, Jérôme Dedecker

Publication date: 26 July 2012

Published in: Institute of Mathematical Statistics Collections (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.imsc/1265119261

zbMATH Keywords

weak invariance principleexponential inequalitiesintermittency

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Functional limit theorems; invariance principles (60F17) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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Weak convergence to stable Lévy processes for nonuniformly hyperbolic dynamical systems

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