多态概率元胞自动机的对偶
Dualities for Multi-State Probabilistic Cellular Automata
摘要：
本文介绍了概率元胞自动机（PCA）的一种新的对偶形式。利用这种对偶性，证明了具有对偶过程的遍历性结果。此外，条件的概率定义的发展过程中存在的对偶提供。结果被应用到广泛的PCA类，其中包括多意见选举模型，竞争模型和Domany-Kinzel模型。
英文摘要：
In this paper a new form of duality for probabilistic cellular automata (PCA) is introduced. Using this duality, an ergodicity result for processes having a dual is proved. Also, conditions on the probabilities defining the evolution of the processes for the existence of a dual are provided. The results are applied to wide classes of PCA which include multi-opinion voter models, competition models and the Domany-Kinzel model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
