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arXiv:1306.2054 [math.DS]AbstractReferencesReviewsResources

Topological and Ergodic properties of symmetric subshifts

Rafael Alcaraz Barrera

Published 2013-06-09, updated 2013-12-18Version 2

The family of symmetric one sided subshifts in two symbols given by a sequence $a$ 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.

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
Journal: DCDS-A vol. 34, no. 11; #4 2014
Categories: math.DS
Subjects: 37B10, 28D05, 37C70, 68R15
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