An Information-Based Classification of Elementary Cellular Automata

Enrico Borriello and Sara Imari Walker

Complexity, 2017, vol. 2017, 1-8

Abstract:

We propose a novel, information-based classification of elementary cellular automata. The classification scheme proposed circumvents the problems associated with isolating whether complexity is in fact intrinsic to a dynamical rule, or if it arises merely as a product of a complex initial state. Transfer entropy variations processed by cellular automata split the 256 elementary rules into three information classes , based on sensitivity to initial conditions. These classes form a hierarchy such that coarse-graining transitions observed among elementary rules predominately occur within each information-based class or, much more rarely, down the hierarchy.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:1280351

DOI: 10.1155/2017/1280351

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