Forcing Minimal Interval Patterns as Interval Exchange Transformations

Fuente: arXiv
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Auteur principal: Bhattacharya, Sourav
Format: Preprint
Publié: 2024
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author Bhattacharya, Sourav
author_facet Bhattacharya, Sourav
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_09569
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Forcing Minimal Interval Patterns as Interval Exchange Transformations
Bhattacharya, Sourav
Dynamical Systems
Primary 37E05, 37E10, 37E15, Secondary 37E45
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.
title Forcing Minimal Interval Patterns as Interval Exchange Transformations
topic Dynamical Systems
Primary 37E05, 37E10, 37E15, Secondary 37E45
url https://arxiv.org/abs/2408.09569