Ergodic sums of non-integrable functions under one-dimensional dynamical systems with indifferent fixed points

DOI10.1017/S0143385703000506zbMath1069.37035OpenAlexW2133433526MaRDI QIDQ4663959

Tomoki Inoue

Publication date: 5 April 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385703000506

zbMATH Keywords

indicator functionLebesgue measureabsolutely continuous invariant measuresone-dimensional dynamical systemsergodic sumsHopf ratio ergodic theoremindifferent fixed-points

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05)

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Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems

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