33 citations · 162 across the 31 of their papers we have counts for
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math.AG2010★ 12 cited
On algebraic cellular automata
Tullio Ceccherini-Silberstein, Michel Coornaert
We investigate some general properties of algebraic cellular automata, i.e., cellular automata over groups whose alphabets are affine algebraic sets and which are locally defined b…
math.DS2010
The Myhill property for strongly irreducible subshifts over amenable groups
Tullio Ceccherini-Silberstein, Michel Coornaert
Let be an amenable group and let be a finite set. We prove that if is a strongly irreducible subshift then has the Myhill property, that is, every pre-i…
math.DS2010
A Garden of Eden theorem for linear subshifts
Tullio Ceccherini-Silberstein, Michel Coornaert
Let be an amenable group and let be a finite-dimensional vector space over an arbitrary field $\K$. We prove that if is a strongly irreducible linear subshi…