AN INDICATOR FUNCTION LIMIT THEOREM IN DYNAMICAL SYSTEMS

DOI10.1142/S0219493711003504zbMath1236.37010arXiv0810.2452OpenAlexW2964298733MaRDI QIDQ3094463

Dalibor Volný, Olivier Durieu

Publication date: 25 October 2011

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2452

zbMATH Keywords

limit theoremssums of random variablesaperiodic dynamical system

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Cites Work

• Counterexamples in ergodic theory and number theory
• Sums of continuous and differentiable functions in dynamical systems
• On sums of indicator functions in dynamical systems
• Invariance principles and Gaussian approximation for strictly stationary processes
• Real Analysis and Probability

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