A temporal central limit theorem for real-valued cocycles over rotations

DOI10.1214/17-AIHP872zbMath1411.37007arXiv1705.06484OpenAlexW2963810213WikidataQ129004257 ScholiaQ129004257MaRDI QIDQ1633927

Michael Bromberg, Corinna Ulcigrai

Publication date: 21 December 2018

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06484

zbMATH Keywords

Markov chainrenormalizationirrational rotationslimit theoremssymbolic codingBirkhoff sumsskew productsOstrowski expansion

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Ergodic theorems, spectral theory, Markov operators (37A30) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items

Some counterexamples to the central limit theorem for random rotations, Flexibility of statistical properties for smooth systems satisfying the central limit theorem, Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions, Asymptotics and limit theorems for horocycle ergodic integrals à la Ratner (with an appendix by Emilio Corso), Cauchy distributions for the integrable standard map, Rational ergodicity of step function skew products, Fast and slow points of Birkhoff sums, On the CLT for rotations and BV functions, On the CLT for rotations and BV functions, No temporal distributional limit theorem for a.e. irrational translation

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