Please use this identifier to cite or link to this item: https://ah.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 連結: https://doi.org/10.3390/e11020271
Appears in Collections:[應用數學系] 期刊論文

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