Corpus ID: 218571017

Rauzy induction of polygon partitions and toral $\mathbb{Z}^2$-rotations.

  title={Rauzy induction of polygon partitions and toral \$\mathbb\{Z\}^2\$-rotations.},
  author={S'ebastien Labb'e},
  journal={arXiv: Dynamical Systems},
We propose a method for proving that a toral partition into polygons is a Markov partition for a given toral $\mathbb{Z}^2$-rotation ($\mathbb{Z}^2$-action defined by rotations on a torus). If $\mathcal{X}_{\mathcal{P},R}$ denotes the symbolic dynamical system corresponding to a partition $\mathcal{P}$ and $\mathbb{Z}^2$-action $R$ such that $R$ is Cartesian on a sub-domain $W$, we express the 2-dimensional configurations in $\mathcal{X}_{\mathcal{P},R}$ as the image under a $2$-dimensional… Expand
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