Measures of maximal entropy of bounded density shifts

Felipe Garcia-Ramos,Ronnie Pavlov, Carlos Reyes

ERGODIC THEORY AND DYNAMICAL SYSTEMS（2024）

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摘要

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.

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关键词

bounded density shifts,intrinsic ergodicity,measure of maximal entropy,entropy minimality

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