6 papers
Continuous pointwise ergodicity for semigroup actions on locally compact spaces
Raimundo Briceño, Godofredo Iommi
We investigate proper actions of arbitrary semigroups on separable locally compact metric spaces, where point orbits are allowed to escape to infinity. An action is pointwise uniqu…
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…
Ergodic theorems for set maps under weak forms of additivity
Raimundo Briceño, Godofredo Iommi
We investigate various relaxations of additivity for set maps into Banach spaces in the context of representations of amenable groups. Specifically, we establish conditions under w…
Additive realizations of asymptotically additive set maps
Raimundo Briceño, Godofredo Iommi
Given a countable discrete amenable group, we study conditions under which a set map into a Banach space (or more generally, a complete semi-normed space) can be realized as the er…
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…
Counting independent sets in amenable groups
Raimundo Briceño
Given a locally finite graph , an amenable subgroup of graph automorphisms acting freely and almost transitively on its vertices, and a -invariant activity function ,…