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arXiv · 0801.1195

Markov partitions reflecting the geometry of x2,x3

Thomas Ward·Yuki Yayama
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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.

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Thomas Ward, Yuki Yayama. 2008-01-08. Markov partitions reflecting the geometry of x2,x3. https://doi.org/10.3934/dcds.2009.24.613

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