Minimal frequently stable is almost automorphic

TL;DR

This paper establishes that in minimal topological dynamical systems, frequent stability is equivalent to the system being almost automorphic, providing a characterization of stability in this context.

Contribution

It proves the equivalence between frequent stability and almost automorphy in minimal topological dynamical systems, a novel characterization.

Findings

Frequent stability iff almost automorphic in minimal systems

Provides a new criterion for stability in dynamical systems

Advances understanding of minimal topological dynamics

Abstract

We show that a minimal toplogical dynamical system that is frequently stable if and only if it is almost automorphic.