33 citations · 162 across the 31 of their papers we have counts for
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On injective endomorphisms of symbolic schemes
Tullio Ceccherini-Silberstein, Michel Coornaert, Xuan Kien Phung
Building on the seminal work of Gromov on endomorphisms of symbolic algebraic varieties [10], we introduce a notion of cellular automata over schemes which generalize affine algebr…
The Garden of Eden theorem: old and new
Tullio Ceccherini-Silberstein, Michel Coornaert
We review topics in the theory of cellular automata and dynamical systems that are related to the Moore-Myhill Garden of Eden theorem.
A Garden of Eden theorem for principal algebraic actions
Tullio Ceccherini-Silberstein, Michel Coornaert
Let be a countable abelian group and , where denotes the integral group ring of . Consider the Pontryagin dual of the cyclic -module $\Z[Γ]…
Surjunctivity and topological rigidity of algebraic dynamical systems
Siddhartha Bhattacharya, Tullio Ceccherini-Silberstein, Michel Coornaert
Let be a compact metrizable group and a countable group acting on by continuous group automorphisms. We give sufficient conditions under which the dynamical system $(X,…