A Borel–Cantelli lemma for intermittent interval maps

DOI10.1088/0951-7715/20/6/010zbMath1120.34004arXivmath/0703270OpenAlexW2072996193WikidataQ124822321 ScholiaQ124822321MaRDI QIDQ5296068

Sébastien Gouëzel

Publication date: 1 August 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703270

zbMATH Keywords

ergodic probability preserving transformationfamily of interval maps with neutral fixed-points

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (16)

Almost sure convergence of maxima for chaotic dynamical systems ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Critical intermittency in random interval maps ⋮ Building thermodynamics for non-uniformly hyperbolic maps ⋮ A note on the run length function for intermittent maps ⋮ Shrinking targets for discrete time flows on hyperbolic manifolds ⋮ On the strong forms of the Borel-Cantelli lemma and dynamical systems with polynomial decay of correlations ⋮ Central limit theorems for the shrinking target problem ⋮ Some almost sure results for unbounded functions of intermittent maps and their associated Markov chains ⋮ Rates in almost sure invariance principle for slowly mixing dynamical systems ⋮ Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables ⋮ A note on Borel–Cantelli lemmas for non-uniformly hyperbolic dynamical systems ⋮ An empirical central limit theorem for intermittent maps ⋮ On strong forms of the Borel-Cantelli lemma and intermittent interval maps ⋮ Dynamical Borel–Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems ⋮ Criteria for Borel-Cantelli lemmas with applications to Markov chains and dynamical systems

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