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Markov partitions reflecting the geometry of x2,x3.

Ward, T. and Yayama, Y. (2009) 'Markov partitions reflecting the geometry of x2,x3.', Discrete and continuous dynamical systems : series A., 24 (2). pp. 613-624.

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.

Item Type: Article PDF - Published Version (190Kb) Peer-reviewed http://dx.doi.org/10.3934/dcds.2009.24.613 12 Oct 2012 10:05 16 Oct 2012 10:37

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