In this paper, we study transitivity on the semigroup actions.

Indeed, we introduce two criteria, “entropy minimality” and “nonuniformly

expanding property”, to obtain transitivity

In this paper we show that if f is either a conservative average shadowing

stable or a conservative asymptotic average shadowing stable , then f admits a

dominated splitting.

In this paper we show that if X is a compact metric space and varphi : mathbb{R} times X to X is a flow and varphi is weak uniformly almost periodic with positively asymptotic average shadowing property, then varphi is strongly ergodic...