Diophantine properties of iets and general systems: quantitative proximality and connectivity

DOI10.1007/s00222-012-0413-4zbMath1283.37025arXiv0910.5422OpenAlexW3098928792MaRDI QIDQ2377344

Jon Chaika, Michael D. Boshernitzan

Publication date: 28 June 2013

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5422

zbMATH Keywords

ergodicminimalinterval exchange transformation

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the interval (37E05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (8)

Quantitative shrinking target properties for rotations and interval exchanges ⋮ Borel-Cantelli sequences ⋮ Skew products, quantitative recurrence, shrinking targets and decay of correlations ⋮ Dynamics and ``arithmetics of higher genus surface flows ⋮ On the shortest distance between orbits and the longest common substring problem ⋮ Shrinking targets for IETS: extending a theorem of Kurzweil ⋮ Long hitting time for translation flows and L-shaped billiards ⋮ Topological mixing for some residual sets of interval exchange transformations

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