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5 papers

math.HO2026

A memorial tribute: Adriano Garsia (1928--2024)

Hélène Barcelo, Hélène Barcelo, François Bergeron +18

The paper is a biographical tribute honoring the life and career of mathematician Adriano Garsia, outlining his personal background, education, and academic positions.

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…

math.GR2025

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…