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math.DS2025
Expansivity of algebraic semigroup actions
Miguel Donoso-Echenique
For a semigroup and a right -submodule , we study expansivity of the algebraic action of induced on the Pontryagin dual of $\mathbb{Z}…
math.DS2025
Extensibility and denseness of periodic semigroup actions
Raimundo Briceño, Álvaro Bustos-Gajardo, Miguel Donoso-Echenique
We study periodic points and finitely supported invariant measures for continuous semigroup actions. Introducing suitable notions of periodicity in both topological and measure-the…
math.DS2025
Natural extensions of embeddable semigroup actions
Raimundo Briceño, Álvaro Bustos-Gajardo, Miguel Donoso-Echenique
Semigroup actions and their invertible extensions are discussed. First, we develop a theory of natural extensions for continuous actions of countable, embeddable semigroups. Second…