Photo by lisasimenz from unsplash
In this paper, we introduce the notions of weakly mixing and totally transitivity for a free semigroup action. Let G be a free semigroup acting on a compact metric space… Click to show full abstract
In this paper, we introduce the notions of weakly mixing and totally transitivity for a free semigroup action. Let G be a free semigroup acting on a compact metric space generated by continuous open self-maps. Assuming shadowing for G we relate the average shadowing property of G to totally transitivity and its variants. Also, we study some properties such as mixing, shadowing and average shadowing properties, transitivity, chain transitivity, chain mixing and specification property for a free semigroup action.
Keywords:
free semigroup;
dynamical properties;
semigroup;
semigroup actions;
properties free
Journal Title: Stochastics and Dynamics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Stochastics and Dynamics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!