Diffusive behavior of ergodic sums over rotations

DOI10.1142/S0219493719500163zbMath1473.37051arXiv1705.10550WikidataQ129717969 ScholiaQ129717969MaRDI QIDQ5384781

Stéphane Le Borgne, Jean-Pierre Conze, Stefano Isola

Publication date: 25 June 2019

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

Full work available at URL: https://arxiv.org/abs/1705.10550

zbMATH Keywords

rotationvariancecentral limit theoremlacunary seriessubsequencesalmost sure invariance principleperiodic rectangular billiard

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Rotation numbers and vectors (37E45)

Related Items (4)

Deviations of ergodic sums for toral translations. II: Boxes ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ On the CLT for rotations and BV functions ⋮ On the CLT for rotations and BV functions

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