The Gauss map on a class of interval translation mappings

DOI10.1007/BF02785958zbMath1274.37005arXivmath/0211351OpenAlexW2170408787WikidataQ59184893 ScholiaQ59184893MaRDI QIDQ2382229

Serge E. Troubetzkoy, Henk Bruin

Publication date: 28 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211351

Mathematics Subject Classification ID

Topological dynamics (37B99) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the circle (37E10)

Related Items (13)

New rotation sets in a family of torus homeomorphisms ⋮ Minimality of interval exchange transformations with restrictions ⋮ Synchronization properties of random piecewise isometries ⋮ A note on double rotations of infinite type ⋮ Almost every interval translation map of three intervals is finite type ⋮ Digit frequencies of beta-expansions ⋮ On the geometry and regularity of invariant sets of piecewise-affine automorphisms on the Euclidean space ⋮ Invariant measures with bounded variation densities for piecewise area preserving maps ⋮ Symbol ratio minimax sequences in the lexicographic order ⋮ Global attractors and invariant measures for non-invertible planar piecewise isometric maps ⋮ Polygonal billiards with one sided scattering ⋮ Invariant measures for interval translations and some other piecewise continuous maps ⋮ Renormalization in a class of interval translation maps ofdbranches

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• Piecewise monotone maps without periodic points: rigidity, measures and complexity
• Interval translation mappings

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