Markov partitions reflecting the geometry of x2,x3

Ward, T.; Yayama, Y.

Abstract

We give an explicit geometric description of the $\times2,\times3$ 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.

Citation

Ward, T., & Yayama, Y. (2009). Markov partitions reflecting the geometry of x2,x3. Discrete and Continuous Dynamical Systems - Series A, 24(2), 613-624. https://doi.org/10.3934/dcds.2009.24.613

• Journal Article Type: Article
• Publication Date: Jun 1, 2009
• Deposit Date: Oct 12, 2012
• Publicly Available Date: Oct 16, 2012
• Journal: Discrete and Continuous Dynamical Systems - Series A
• Print ISSN: 1078-0947
• Electronic ISSN: 1553-5231
• Publisher: American Institute of Mathematical Sciences (AIMS)
• Peer Reviewed: Peer Reviewed
• Volume: 24
• Issue: 2
• Pages: 613-624
• DOI: https://doi.org/10.3934/dcds.2009.24.613
• Public URL: https://durham-repository.worktribe.com/output/1473145