English

Markov partitions reflecting the geometry of x2,x3

Dynamical Systems 2009-09-22 v1

Abstract

We give an explicit geometric description of the ×2,×3\times2,\times3 system, and use his to study a uniform family of Markov partitions related to those of Wilson and Abramov. The behaviour of these partitions is stable across expansive cones and transitions in this behaviour detects the non-expansive lines.

Keywords

Cite

@article{arxiv.0801.1195,
  title  = {Markov partitions reflecting the geometry of x2,x3},
  author = {Thomas Ward and Yuki Yayama},
  journal= {arXiv preprint arXiv:0801.1195},
  year   = {2009}
}

Comments

6 eps figures