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Janko Gravner : Evolution from seeds in one-dimensional cellular automata

The talk will give an overview of recent results on simple one-dimensional rules started from seeds, i.e., from bounded perturbations of the quiescent state. Two phenomena, replication, and robust periodic solutions emanating from one of the edges, are of particular interest. The talk will emphasize examples and interesting open problems. (Joint work with D. Griffeath, G. Gliner and M. Pelfrey, and A. Holroyd.)

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