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Markov partitions reflecting the geometry of x2,x3

Ward, T.; Yayama, Y.

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Authors

T. Ward

Y. Yayama



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

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