Note on limit distribution of normalized return times and escape rate

DOI10.1142/S0219493716600145zbMath1354.37017arXiv1603.08298OpenAlexW2252834624MaRDI QIDQ2797931

Xuan Zhang

Publication date: 1 April 2016

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

Full work available at URL: https://arxiv.org/abs/1603.08298

zbMATH Keywords

exponential distributionreturn timeescape ratesweep-out sequence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (3)

Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Entry time statistics to different shrinking sets ⋮ A Poisson limit theorem for Gibbs–Markov maps

Cites Work

• Where to place a hole to achieve a maximal escape rate
• Ergodic theory on compact spaces
• A Poisson limit theorem for toral automorphisms
• Rare events, escape rates and quasistationarity: Some Exact formulae
• AN INTRODUCTION TO QUANTITATIVE POINCARÉ RECURRENCE IN DYNAMICAL SYSTEMS
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