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On the ergodic theory of cellular automata

โœ Scribed by Stephen J. Willson


Publisher
Springer
Year
1975
Tongue
English
Weight
585 KB
Volume
9
Category
Article
ISSN
1433-0490

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Ergodic characterization of linear cellu
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