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math.DS2003
Invariant measures for bipermutative cellular automata
Marcus Pivato
A `right-sided, nearest neighbour cellular automaton' (RNNCA) is a continuous transformation F:A^Z-->A^Z determined by a local rule f:A^{0,1}-->A so that, for any a in A^Z and any…
math.DS2003★ 2 cited
Asymptotic Randomization of Sofic Shifts by Linear Cellular Automata
Marcus Pivato, Reem Yassawi
Let M=Z^D be a D-dimensional lattice, and let A be an abelian group. A^M is then a compact abelian group; a `linear cellular automaton' (LCA) is a topological group endomorphism Φ:…