Dynamical Borel–Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems
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Publication:4978488
DOI10.1088/1361-6544/aa72c2zbMath1433.37003arXiv1611.03540OpenAlexW3103640525WikidataQ124983866 ScholiaQ124983866MaRDI QIDQ4978488
Publication date: 11 August 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.03540
Ergodic theorems, spectral theory, Markov operators (37A30) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)
Related Items (5)
Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems ⋮ Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables ⋮ Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean ⋮ Pointwise convergence of Birkhoff averages for global observables
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