Markov partitions reflecting the geometry of x2,x3

Details Markov partitions reflecting the geometry of x2,x3 Markov partitions reflecting the geometry of x2,x3

2008-01-08

arxiv.org/abs/0801.1195v1

Discrete and Continuous Dynamical Systems 24, No. 2, 613-624 (2009)

Mathematics

Dynamical Systems

6 eps figures

Scientific paper

10.3934/dcds.2009.24.613

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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