The Triple Lattice PETs
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Publication:4972539
DOI10.1080/10586458.2017.1422159zbMath1434.37024arXiv1610.03814OpenAlexW2618197652MaRDI QIDQ4972539
Publication date: 25 November 2019
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.03814
Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving maps of trees and graphs (37E25) Dimension theory of smooth dynamical systems (37C45)
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Cites Work
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- Pentagonal domain exchange
- Rectangle exchange transformations
- Dynamics of piecewise isometries
- On the dual billiard problem
- Renormalization of polygon exchange maps arising from corner percolation
- Ergodic theory of interval exchange maps
- Dynamics of non-ergodic piecewise affine maps of the torus
- Piecewise isometries have zero topological entropy
- Échanges d'intervalles et transformations induites
- Aperiodic orbits of piecewise rational rotations of convex polygons with recursive tiling
- Topological entropy of polygon exchange transformations and polygonal billiards
- An example of PET. Computation of the Hausdorff dimension of the aperiodic set
- Rotations by /7
- Recursive tiling and geometry of piecewise rotations by /7
- Interval exchange transformations