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arxiv: 0711.3821 · v2 · submitted 2007-11-24 · 🧮 math.DS

Unique ergodicity of circle and interval exchange transformations with flips

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keywords circleexchangeflipsdefinedtransitiveunitanswercomplete
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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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