Rotational Interval Exchange Transformations
Dynamical Systems
2024-04-18 v1
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.
Keywords
Cite
@article{arxiv.2404.11211,
title = {Rotational Interval Exchange Transformations},
author = {Alexey Teplinsky},
journal= {arXiv preprint arXiv:2404.11211},
year = {2024}
}