Journal
COMPLEXITY
Volume -, Issue -, Pages -Publisher
WILEY-HINDAWI
DOI: 10.1155/2017/1280351
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Funding
- Templeton World Charity Foundation
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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.
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