Syndetic proximality and scrambled sets
Dynamical Systems
2013-04-05 v4
Abstract
This paper is a systematic study about the syndetically proximal relation and the possible existence of syndetically scrambled sets for the dynamics of continuous self-maps of compact metric spaces. Especially we consider various classes of transitive subshifts, interval maps, and topologically Anosov maps. We also present many constructions and examples.
Cite
@article{arxiv.1108.1280,
title = {Syndetic proximality and scrambled sets},
author = {T. K. Subrahmonian Moothathu and Piotr Oprocha},
journal= {arXiv preprint arXiv:1108.1280},
year = {2013}
}