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4 papers
Weakly robust periodic solutions of one-dimensional cellular automata with random rules
Janko Gravner, Xiaochen Liu
We study -neighbor one-dimensional cellular automata with a large number of states and randomly selected rules. We focus on the rules with weakly robust periodic solutions (…
Maximal temporal period of a periodic solution generated by a one-dimensional cellular automaton
Janko Gravner, Xiaochen Liu
We study one-dimensional cellular automata evolutions with both temporal and spatial periodicity. The main objective is to investigate the longest temporal periods among all two-ne…
One-dimensional cellular automata with random rules: longest temporal period of a periodic solution
Janko Gravner, Xiaochen Liu
We study one-dimensional cellular automata whose rules are chosen at random from among -neighbor rules with a large number of states. Our main focus is the asymptotic behavi…
Periodic solutions of one-dimensional cellular automata with random rules
Janko Gravner, Xiaochen Liu
We study cellular automata with randomly selected rules. Our setting are two-neighbor rules with a large number of states. The main quantity we analyze is the asymptotic probab…