Invariant measures of torus piecewise isometries
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Publication:2161299
DOI10.1016/j.aim.2022.108529zbMath1503.37004arXiv2106.16021OpenAlexW4283008489MaRDI QIDQ2161299
Publication date: 4 August 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.16021
Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) General groups of measure-preserving transformations (28D15) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05)
Cites Work
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- Invariant measures for piecewise continuous maps
- Almost every interval translation map of three intervals is finite type
- Global attractors and invariant measures for non-invertible planar piecewise isometric maps
- Interval exchange transformations and some special flows are not mixing
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- Dynamics of piecewise isometries
- Linearization of generalized interval exchange maps
- Piecewise isometries: Applications in engineering
- Ergodic theory of interval exchange maps
- Dynamics of non-ergodic piecewise affine maps of the torus
- Invariant measures for planar piecewise isometries
- Renormalization in a class of interval translation maps ofdbranches
- Ergodic averaging with and without invariant measures
- Piecewise monotone maps without periodic points: rigidity, measures and complexity
- Interval translation mappings
- Invariant measures for interval translations and some other piecewise continuous maps
- Decay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of Abelian differentials
- Renormalization of one-parameter families of piecewise isometries
- Interval exchange transformations
- Polygonal billiards with one sided scattering
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