Renormalization in a class of interval translation maps ofdbranches

DOI10.1080/14689360601028084zbMath1115.37038OpenAlexW2087100765WikidataQ59184854 ScholiaQ59184854MaRDI QIDQ3436053

Henk Bruin

Publication date: 8 May 2007

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360601028084

zbMATH Keywords

invariant measurestype \(\infty\) interval translation maps

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20)

Related Items (8)

Synchronization properties of random piecewise isometries ⋮ Invariant measures of torus piecewise isometries ⋮ A note on double rotations of infinite type ⋮ Almost every interval translation map of three intervals is finite type ⋮ Symbol ratio minimax sequences in the lexicographic order ⋮ Cone exchange transformations and boundedness of orbits ⋮ Polygonal billiards with one sided scattering ⋮ Invariant measures for interval translations and some other piecewise continuous maps

Cites Work

• Non-ergodic interval exchange transformations
• The Gauss map on a class of interval translation mappings
• Double rotations
• Piecewise monotone maps without periodic points: rigidity, measures and complexity
• Interval translation mappings

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