Statistical mechanics of cellular automata
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...Spatio-temporal patterns (or behaviors) occurring in these cellular automata can be classified into four distinct classes (Wolfram, 1983, 1984, 2002)....
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...ghbors (including herself) who achieved the highest income in the last round. Spatio-temporal patterns (or behaviors) occurring in these cellular automata can be classified into four distinct classes (Wolfram, 1983, 1984, 2002). In Class 1 the evolution leads exactly to the same uniform final pattern (called frequently a “fixed point” or an “absorbing state”) from almost all initial states. In Class 2 the system ...
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Cites background from "Statistical mechanics of cellular a..."
...The form of the function F in the time evolution rule (2.1) may be specified by a "rule number" [1] The function f in eq....
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Cites background or result from "Statistical mechanics of cellular a..."
...A general classi cation of stochastic cellular automata was presented by Wolfram [112]....
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...The third special case p2 = 0 is equivalent to the rule ‘W18’ of Wolfram’s classification scheme [112]....
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...A general classification of stochastic cellular automata was presented by Wolfram [112]....
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...The third special case p2 ˆ 0 is equivalent to the rule ‘W18’ of Wolfram’s classi cation scheme [112]....
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"Statistical mechanics of cellular a..." refers methods in this paper
...This process is analogous to the "evolution" of the sequence of symbols on the tape of a Turing machine (Turing, 1936)....
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