Almost every interval translation map of three intervals is finite type

DOI10.3934/dcds.2014.34.2307zbMath1317.37044arXiv1203.3405OpenAlexW2049595302MaRDI QIDQ379877

Denis Volk

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3405

zbMATH Keywords

finite typeinterval exchange transformationinfinite typecolor rotationdouble rotationinterval translation map

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

Minimality of interval exchange transformations with restrictions ⋮ Synchronization properties of random piecewise isometries ⋮ Invariant measures of torus piecewise isometries ⋮ A note on double rotations of infinite type ⋮ Invariant measures for interval translations and some other piecewise continuous maps

Cites Work

• Dynamics of piecewise isometries
• Inducing and unique ergodicity of double rotations
• The Gauss map on a class of interval translation mappings
• Double rotations
• Stability of piecewise rotations and affine maps
• Piecewise isometries have zero topological entropy
• Renormalization in a class of interval translation maps ofdbranches
• Piecewise monotone maps without periodic points: rigidity, measures and complexity
• Interval translation mappings
• Sofic subshifts and piecewise isometric systems
• Unnamed Item

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