There exists a topologically mixing interval exchange transformation

DOI10.1017/S0143385711000125zbMath1250.37004arXiv0910.3986OpenAlexW2114163114MaRDI QIDQ2908162

Jon Chaika

Publication date: 4 September 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3986

zbMATH Keywords

existenceorderinterval exchange transformationtopologically mixing

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Diophantine properties of iets and general systems: quantitative proximality and connectivity ⋮ Topological mixing for some residual sets of interval exchange transformations

Cites Work

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• Interval exchange transformations and some special flows are not mixing
• Non-ergodic interval exchange transformations
• Schrödinger operators defined by interval-exchange transformations
• Weak mixing for interval exchange transformations and translation flows
• The Metric Theory of Interval Exchange Transformations I. Generic Spectral Properties
• Mixing properties of substitutions
• Topological weak-mixing of interval exchange maps
• Generalized eigenfunctions of interval exchange maps
• Rank and symbolic complexity
• Spectral properties of interval exchange maps

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