报告题目：Group actions from measure theoretical viewpoint
摘要：In this talk, we introduce a measure version of the dynamical systems of finitely generated group actions on compact metric spaces. More precisely, we introduce the notion of topological stability for measures of group actions and prove a measure version for stability theorem. Moreover, we give a characterization for shadowing property of group actions by using ergodic measures. Finally, we consider the Gromov-Hausdorff stability for measures on compact metric spaces and prove that every expansive and shadowable measure of a homeomorphism of a compact metric space is topologically GH-stable.