Let V be a finite-dimensional vector space over a field K and let G be a countable amenable group. Let τ : V^G → V^G be a linear cellular automaton. We prove that τ is surjective if and only if it is pre-injective
The Garden of Eden Theorem for Linear Cellular Automata
CECCHERINI SILBERSTEIN T;
2006-01-01
Abstract
Let V be a finite-dimensional vector space over a field K and let G be a countable amenable group. Let τ : V^G → V^G be a linear cellular automaton. We prove that τ is surjective if and only if it is pre-injectiveFile in questo prodotto:
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