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math.DS2026
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…
math.DS2025
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…
math.DS2025
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…