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math.DS2017★ 21 cited
Number-conserving cellular automata with a von Neumann neighborhood of range one
Barbara Wolnik, Adam Dzedzej, Jan M. Baetens +1
We present necessary and sufficient conditions for a cellular automaton with a von Neumann neighborhood of range one to be number-conserving. The conditions are formulated for any…
math.DS2015★ 3 cited
Introducing Lyapunov profiles of cellular automata
Jan M. Baetens, Janko Gravner
In line with the stability theory of continuous dynamical systems, Lyapunov exponents of cellular automata (CAs) have been conceived two decades ago to quantify to what extent thei…