Measures of maximal entropy of bounded density shifts

Abstract

We find sufficient conditions for bounded density shifts to have a unique measure of maximal entropy. We also prove that every measure of maximal entropy of a bounded density shift is fully supported. As a consequence of this, we obtain that bounded density shifts are surjunctive.

arXiv comment19 pages

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Cited by in corpus (1)

• A classification of intrinsic ergodicity for recognisable random substitution systems