Topological and Ergodic properties of symmetric subshifts
Dynamical Systems
2014-04-22 v2
Abstract
The family of symmetric one sided subshifts in two symbols given by a sequence is studied. We analyse some of their topological properties such as transitivity, the specification property and intrinsic ergodicity. It is shown that almost every member of this family admits only one measure of maximal entropy.
Keywords
Cite
@article{arxiv.1306.2054,
title = {Topological and Ergodic properties of symmetric subshifts},
author = {Rafael Alcaraz Barrera},
journal= {arXiv preprint arXiv:1306.2054},
year = {2014}
}
Comments
30 pages. V2 is a shortened version of V1. Proposition 3.1 and Lemma 3.2 were included to clarify the connection between beta expansions and attractors of the doubling map with a centred symmetric hole