Some Results on the Average Inverse Shadowing Property and Strong Ergodicity
Baghdad Science Journal · Baghdad Science Journal · 2018
Let (Ӽ, ᶁ 1 ) and (Ƴ,ᶁ 2 ) be compact metric spaces, ʄ: (Ӽ, ᶁ 1 ) → (Ӽ, ᶁ 1 ) and : (Ƴ, ᶁ 2 ) → (Ƴ, ᶁ 2 ) be continuous maps.If ʄ and 𝒢 have dense minimal points and the average inverse shadowing property, we have proved ʄ × 𝒢 has an average inverse shadowing property, topological transitive and dense minimal points.Moreover, we have proved ʄ is totally strongly ergodic and weakly mixing.