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.

19 pages

References in corpus (2)

• On invariant measures for $\mathcal{B}$-free systems
• Topological and almost Borel Universality for systems with the weak specification property

Cited by in corpus (1)

• A classification of intrinsic ergodicity for recognisable random substitution systems