Topological Stability and Shadowing of Dynamical Systems from Measure Theoretical Viewpoint
报告人:尹建东教授(南昌大学)
时间:2021-05-06 20:00-21:00
地点:腾讯会议
摘要: In this talk, we proved that a topologically stable invariant measure has no sinks or sources in its support; an expansive homeomorphism is topologically stable if it exhibits a topologically stable non-atomic Borel support measure and a continuous map has the shadowing property if there exists an invariant measure with the shadowing property such that each almost periodic point is contained in the support of the invariant measure.