Auslander-Yorkes type dichotomy theorems for stronger version r-sensitivity
Dynamical Systems
2019-05-21 v1
Abstract
In this paper, for r in N with r>=2 we consider several stronger version r-sensitivities and measure-theoretical r-sensitivities by analysing subsets of nonnegative integers, for which the r-sensitivity occurs. We obtain an Auslander-Yorke's type dichotomy theorem: a minimal topological dynamical system is either thickly r-sensitive or an almost m to one extension of its maximal equicontinuousfactor for some m in {1,2,...,r-1}.
Cite
@article{arxiv.1905.08104,
title = {Auslander-Yorkes type dichotomy theorems for stronger version r-sensitivity},
author = {Kairan Liu and Xiaomin Zhou},
journal= {arXiv preprint arXiv:1905.08104},
year = {2019}
}