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題名 The topological pressure of linear cellular automata
作者 班榮超
Ban, Jung-Chao
Chang, Chih-Hung
貢獻者 應數系
關鍵詞 Cellular automata ; additive ; equilibrium measure
日期 2009-05
上傳時間 22-Jun-2020 13:45:29 (UTC+8)
摘要 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.
關聯 Entropy, Vol.11, No.2, pp.271-284
資料類型 article
DOI https://doi.org/10.3390/e11020271
dc.contributor 應數系
dc.creator (作者) 班榮超
dc.creator (作者) Ban, Jung-Chao
dc.creator (作者) Chang, Chih-Hung
dc.date (日期) 2009-05
dc.date.accessioned 22-Jun-2020 13:45:29 (UTC+8)-
dc.date.available 22-Jun-2020 13:45:29 (UTC+8)-
dc.date.issued (上傳時間) 22-Jun-2020 13:45:29 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/130213-
dc.description.abstract (摘要) 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.
dc.format.extent 247051 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Entropy, Vol.11, No.2, pp.271-284
dc.subject (關鍵詞) Cellular automata ; additive ; equilibrium measure
dc.title (題名) The topological pressure of linear cellular automata
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.3390/e11020271
dc.doi.uri (DOI) https://doi.org/10.3390/e11020271