Invariant measures for interval translations and some other piecewise continuous maps

DOI10.1051/mmnp/2019041zbMath1475.37005arXiv1812.04534OpenAlexW3011951839MaRDI QIDQ5001269

Sergey Kryzhevich

Publication date: 19 July 2021

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04534

zbMATH Keywords

invariant measuresperiodic pointspiecewise isometriespiecewise continuous mapsinterval translation mapsKrylov-Bogolybov theorem

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Invariant measures of torus piecewise isometries ⋮ Non-Sturmian sequences of matrices providing the maximum growth rate of matrix products

Cites Work

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• Invariant measures for piecewise continuous maps
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• Ergodic theory of interval exchange maps
• Double rotations
• Piecewise isometries have zero topological entropy
• Invariant measures for planar piecewise isometries
• 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

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