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Ergodicity of probabilistic cellular automata: A constructive criterion

โœ Scribed by Christian Maes; Senya B. Shlosman


Publisher
Springer
Year
1991
Tongue
English
Weight
1009 KB
Volume
135
Category
Article
ISSN
0010-3616

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โœ Tadakazu Sato ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 561 KB

In this paper, we introduce a set E(f,) which consists of all points rEZ2 such that the composite map o'(&) of a shift transformation or and a parallel map fm is non-ergodic. We then show that the properties of parallel maps foe such as finite orderedness, infinite orderedness, injectivity, surjecti