Interval Rearrangement Ensembles
Dynamical Systems
2024-04-18 v2
Abstract
We introduce a new concept of interval rearrangement ensembles (IRE), which is a generalization of interval exchange transformations (IET). This construction expands the space of IETs in accordance with the natural duality that we pinpoint. Induction of Rauzy\,--\,Veech kind is applicable to IREs. It is conjugate to the reverse operation by the duality mentioned above. A natural extension of an IRE is associated with two transversal flows on a flat translation surface with branching points.
Keywords
Cite
@article{arxiv.2010.16389,
title = {Interval Rearrangement Ensembles},
author = {Alexey Teplinsky},
journal= {arXiv preprint arXiv:2010.16389},
year = {2024}
}
Comments
A revised version, recently published