A note on the weakly mixing of semigroup actions

作者：Yuguang Chen; Huoyun Wang; Yao Tang; Xiaolin Wu

来源：Applied Mathematical Sciences, 2013.

• semigroup action
• weakly mixing
• uniform positive sequence entropy

This paper deals with the weak mixing of semigroup actions. Weshow that a system of semigroup action (S,X) is weakly mixing iff ithas a uniform positive sequence entropy and it is topologically transitive,where X is a compact Hausdorff space and S is an abelian monoidsemigroup.