A note on double rotations of infinite type

DOI10.1090/mosc/311zbMath1498.37065arXiv2102.11803OpenAlexW3133146829MaRDI QIDQ5082257

Alexandra Skripchenko, Charles Fougeron, Pascal Hubert, Mauro Artigiani

Publication date: 16 June 2022

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.11803

zbMATH Keywords

unique ergodicityRauzy inductioninterval translation mappings

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

Non-Sturmian sequences of matrices providing the maximum growth rate of matrix products

Cites Work

• Unnamed Item
• Almost every interval translation map of three intervals is finite type
• Gauss measures for transformations on the space of interval exchange maps
• Pseudogroups of isometries of \(\mathbb{R}\) and Rips' theorem on free actions on \(\mathbb{R}\)-trees
• Inducing and unique ergodicity of double rotations
• The Gauss map on a class of interval translation mappings
• Double rotations
• Renormalization in a class of interval translation maps ofdbranches
• Piecewise monotone maps without periodic points: rigidity, measures and complexity
• Interval translation mappings
• Polygonal billiards with one sided scattering

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