A note on ergodicity of systems with the asymptotic average shadowing property
This note proves that if a Lyapunov stable map of a compact metric space into itself is topologically transitive and has the asymptotic average shadowing (AASP) property, then the space must be a single point. This property follows in an elementary way from what is already known about AASP. In fact, it is true even without the assumptions of compactness and transitivity.
scientific article; zbMATH DE number 6014502