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Markov partitions reflecting the geometry of $\times2$, $\times3$

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  • We give an explicit geometric description of the $\times2$, $\times3$ system, and use this 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 detect the non-expansive lines.
    Mathematics Subject Classification: Primary: 22D40, 37A15; Secondary: 37A35.

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