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arXiv · 2404.11211

Rotational Interval Exchange Transformations

Alexey Teplinsky
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Abstract

We show the equivalence of two possible definitions of a rotational interval exchange transformation: by the first one, it is a first return map for a circle rotation onto a union of finite number of circle arcs, and by the second one, it is an interval exchange with a scheme (in the sense of interval rearrangement ensembles), whose dual is an interval exchange scheme as well.

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Alexey Teplinsky. 2024-04-17. Rotational Interval Exchange Transformations. https://arxiv.org/abs/2404.11211

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