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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: | May-2009 | 上傳時間: | 22-Jun-2020 | 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 |
Appears in Collections: | 期刊論文 |
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