Dynamics of Bohr almost periodic motions of topological abelian semigroups

TL;DR

This paper investigates the behavior and properties of Bohr almost periodic motions within the context of topological abelian semigroups acting on compact metric spaces, focusing on their topological and ergodic dynamics.

Contribution

It provides new insights into the dynamics of Bohr almost periodic motions for topological abelian semigroups, expanding understanding of their topological and ergodic properties.

Findings

Characterization of Bohr almost periodic motions in this setting

Results on the ergodic behavior of these motions

Insights into the topological structure of the dynamics

Abstract

We study the topological and ergodic dynamics of Bohr almost periodic motions of a topological abelian semigroup acting continuously on a compact metric space.