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吴文俊数学重点实验室Dynamical Systems Seminar 【董美花】

报告题目:Group actions from measure theoretical viewpoint 

报告人:董美花,延边大学

时间:2019年8月29日(周四)下午5:00--5:45

地点:东区管理科研楼1318教室

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. 


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中国科学院吴文俊数学重点实验室