Quasi-Symmetric Conjugacy for Circle Maps with a Flat Interval
Dynamical Systems
2019-02-20 v1 Classical Analysis and ODEs
Abstract
In this paper we study quasi-symmetric conjugations of weakly order-preserving circle maps with a flat interval. Under the assumption that the maps have the same rotation number of bounded type and that bounded geometry holds we construct a quasi-symmetric conjugation between their non-wandering sets. Further, this conjugation is extended to a quasi-symmetric circle homeomorphism. Our proof techniques hinge on real-dynamic methods allowing us to construct the conjugation under general and natural assumptions.
Keywords
Cite
@article{arxiv.1510.01703,
title = {Quasi-Symmetric Conjugacy for Circle Maps with a Flat Interval},
author = {Liviana Palmisano},
journal= {arXiv preprint arXiv:1510.01703},
year = {2019}
}