Markov partitions reflecting the geometry of x2, x3

Thomas Ward; Yuki Yayama

doi:10.3934/dcds.2009.24.613

Markov partitions reflecting the geometry of x2, x3

Thomas Ward, Yuki Yayama

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	613-624
Number of pages	12
Journal	Discrete and Continuous Dynamical Systems
Volume	24
Issue number	2
Early online date	1 Mar 2009
DOIs	https://doi.org/10.3934/dcds.2009.24.613
Publication status	Published - Jun 2009

Keywords

Markov partition
expansive subdynamics
solenoid

Access to Document

10.3934/dcds.2009.24.613

Cite this

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abstract = "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.",

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