Unique ergodicity of circle and interval exchange transformations with flips

Details Unique ergodicity of circle and interval exchange transformations with flips Unique ergodicity of circle and interval exchange transformations with flips

2007-11-24

arxiv.org/abs/0711.3821v2

Discrete Contin. Dyn. Syst. 26(1) (2010), 251--263.

Mathematics

Dynamical Systems

13 pages, 6 figures; notational changes, smaller figures

Scientific paper

10.3934/dcds.2010.26.251

We study the existence of transitive exchange maps with flips defined on the
unit circle. We provide a complete answer to the question of whether there
exists a transitive exchange map of the unit circle defined on n subintervals
and having f flips.

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