Forcing Minimal Interval Patterns as Interval Exchange Transformations
Dynamical Systems
2024-08-20 v1
Abstract
We prove that any over-twist pattern is conjugate to an interval exchange transformation with bounded number of segments of isometry, restricted on one of its cycles. The bound is independent of the period and over-rotation number of the over-twist pattern and depends only on its modality.
Keywords
Cite
@article{arxiv.2408.09569,
title = {Forcing Minimal Interval Patterns as Interval Exchange Transformations},
author = {Sourav Bhattacharya},
journal= {arXiv preprint arXiv:2408.09569},
year = {2024}
}
Comments
13 pages, 5 figures