Replication and Shift Representation of One-Dimensional Prototype Universal Cellular Automaton
Junbiao Guan and Fangyue Chen
Replication are amongst most prominent features of cellular automata and universality. Using methods of symbolic dynamics we study replications in rule 137 one dimensional automata. We employ interval maps and shift representations to characterize rich replicating phenomena in cellular automata.
Keywords: Replication; rule 137; interval map; shift representation; symbolic dynamics.