Cellular Automata Entropy

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The entropy of a list is defined by , summing over the elements of . and are the probabilities of black and white cells, respectively. The initial condition is a finite list of random bits.

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The entropy can be used to study the amount of information in the evolution of a cellular automaton; it is lower in ordered systems and higher in chaotic (disordered) systems.

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Contributed by: Daniel de Souza Carvalho (March 2011)
Open content licensed under CC BY-NC-SA


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