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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/130213

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/130213

Title:	The topological pressure of linear cellular automata
Authors:	班榮超 Ban, Jung-Chao Chang, Chih-Hung
Contributors:	應數系
Keywords:	Cellular automata;additive;equilibrium measure
Date:	2009-05
Issue Date:	2020-06-22 13:45:29 (UTC+8)
Abstract:	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.
Relation:	Entropy, Vol.11, No.2, pp.271-284
Data Type:	article
DOI link:	https://doi.org/10.3390/e11020271
DOI:	10.3390/e11020271
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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