On Roth type conditions, duality and central Birkhoff sums for i.e.m.

DOI10.24033/ast.1111zbMath1467.37040arXiv1901.09191OpenAlexW2912643002MaRDI QIDQ3389480

Stefano Marmi, Corinna Ulcigrai, Jean-Christophe Yoccoz

Publication date: 11 May 2021

Published in: Astérisque (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09191

zbMATH Keywords

rotation numberDiophantine conditionsBirkhoff sumsinterval exchange mapsdeviation of ergodic averagesRoth type

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving maps of the interval (37E05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Diophantine approximation in probabilistic number theory (11K60) Rotation numbers and vectors (37E45)

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