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nlin.CG2025
Irreducible Rules and Equivalence Classes of One-dimensional Cellular Automata
Martin Schaller, Karl Svozil
One-dimensional cellular automata are discrete dynamical systems that operate on an infinite lattice of sites and are characterized by the locality and uniformity of their update r…
nlin.CG2025
Orbits of One-Dimensional Cellular Automata Induced by Symmetry Transformations
Martin Schaller, Karl Svozil
Using a group-theoretic approach, a method for determining the equivalence classes (also called orbits) of the set of rules of one-dimensional cellular automata induced by the symm…