5 papers
On surjunctive and injunctive subshifts of finite type
Tullio Ceccherini-Silberstein, Michel Coornaert, Ville Salo
A dynamical system is said to be surjunctive if every injective endomorphism of the system is surjective and it is said to be injunctive if every surjective endomorphism is injecti…
A Garden of Eden theorem for Smale spaces
Tullio Ceccherini-Silberstein, Michel Coornaert
Given a dynamical system consisting of a compact metrizable space and a homeomorphism , an endomorphism of is a continuous map of into its…
Topological stability of semigroup actions and shadowing
Tullio Ceccherini-Silberstein, Michel Coornaert, Xuan Kien Phung
We investigate expansiveness, topological stability, and shadowing for continuous actions of semigroups on compact Hausdorff spaces. We characterize semigroups for which all full s…
Strongly sofic monoids, sofic topological entropy, and surjunctivity
Tullio Ceccherini-Silberstein, Michel Coornaert, Xuan Kien Phung
We introduce the class of strongly sofic monoids. This class of monoids strictly contains the class of sofic groups and is a proper subclass of the class of sofic monoids. We defin…
Stable finiteness of monoid algebras and surjunctivity
Tullio Ceccherini-Silberstein, Michel Coornaert, Xuan Kien Phung
A monoid is said to be surjunctive if every injective cellular automaton with finite alphabet over is surjective. We show that monoid algebras of surjunctive monoids are st…