The topological pressure of linear cellular automata
type: Item
instance of: scholarly article
title: The topological pressure of linear cellular automata
zbMATH Open document ID: 1179.37019
author: Jung-Chao Ban
author: Chih-Hung Chang
published in: Entropy
publication date: 2010-01-29T00:00:00Z
review text: Summary: This elucidation studies ergodicity and equilibrium measures for additive cellular automata with prime states. Additive cellular automata are ergodic with respect to Bernoulli measure unless it is either an identity map or constant. The formulae of measure-theoretic and topological entropies can be expressed in closed forms and the topological pressure is demonstrated explicitly for potential functions that depend on finitely many coordinates. According to these results, Parry measure is inferred to be an equilibrium measure.
Mathematics Subject Classification ID: 37B15
Mathematics Subject Classification ID: 37B40
Mathematics Subject Classification ID: 28D20
Mathematics Subject Classification ID: 82C05
zbMATH DE Number: 5664162
zbMATH Keywords: cellular automata
zbMATH Keywords: additive
zbMATH Keywords: equilibrium measure
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/e11020271
OpenAlex ID: W2025711979
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DOI: 10.3390/E11020271
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description: scientific article; zbMATH DE number 5664162