Asymptotic pairs, stable sets and chaos in positive entropy systems
Dynamical Systems
2014-09-02 v1 Functional Analysis
Abstract
We consider positive entropy -systems for certain countable, discrete, infinite left-orderable amenable groups . By undertaking local analysis, the existence of asymptotic pairs and chaotic sets will be studied in connecting with the stable sets. Examples are given for the case of integer lattice groups, the Heisenberg group, and the groups of integral unipotent upper triangular matrices.
Cite
@article{arxiv.1409.0275,
title = {Asymptotic pairs, stable sets and chaos in positive entropy systems},
author = {Wen Huang and Leiye Xu and Yingfei Yi},
journal= {arXiv preprint arXiv:1409.0275},
year = {2014}
}