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.

authors

• García Ramos Aguilar Felipe
• Pavlov R.

publication date

• 2024-01-01

funding provided via

• Jagiellonian University, (U1U/W16/NO/01.03)  Grant

published in

• Ergodic Theory and Dynamical Systems  Journal

keywords

• bounded density shifts; entropy minimality; intrinsic ergodicity; measure of maximal entropy

Digital Object Identifier (DOI)

• 10.1017/etds.2024.6

PubMed ID

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volume

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