Occupation times of sets of infinite measure for ergodic transformations

DOI10.1017/S0143385704001051zbMath1098.37007arXivmath/0406580OpenAlexW2141898325MaRDI QIDQ5709824

Roland Zweimüller, Maximilian Thaler, Jon. Aaronson

Publication date: 30 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0406580

zbMATH Keywords

asymptotic behaviourinterval mapsoccupation timesergodic measure-preserving transformationinfinite measure spaceDarling-Kac type distributional limit theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical systems involving maps of the interval (37E05) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (11)

Distributional limit theorems in infinite ergodic theory ⋮ Measure preserving transformations similar to Markov shifts ⋮ Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems ⋮ Prime numbers in typical continued fraction expansions ⋮ Limit theorems of Brownian additive functionals ⋮ Persistent non-statistical dynamics in one-dimensional maps ⋮ Infinite measure preserving transformations with compact first regeneration ⋮ Growth of normalizing sequences in limit theorems for conservative maps ⋮ Measure preserving extensions and minimal wandering rates ⋮ Functional limit theorem for occupation time processes of intermittent maps ⋮ ON YOUNG TOWERS ASSOCIATED WITH INFINITE MEASURE PRESERVING TRANSFORMATIONS

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