Mathematical Examples of Space-Time Phases

@article{Diakonova2011MathematicalEO,
  title={Mathematical Examples of Space-Time Phases},
  author={Marina Diakonova and Robert S. MacKay},
  journal={Int. J. Bifurc. Chaos},
  year={2011},
  volume={21},
  pages={2297-2304}
}
The space-time phases of a complex dynamic system are the probability distributions for state as a function of space and time which arise by evolving initial probability distributions from the distant past. Toom proved important results about space-time phases for a class of majority voter probabilistic cellular automata (PCA). Here, variants of the majority voter PCA are presented which are proved to exhibit a variety of types of space-time phase. These examples are expected to serve as useful… 

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