Dynamic System Seminar——Spectral decomposition for rescaling expansive flows with
报告人：Yinong Yang (Beihang University)
地点：Room 206, Classroom Building No.2（Lee Shau Kee Building）
Abstract：In this talk, we introduce the concepts of rescaled expansiveness and the rescaled shadowing property for flflows on metric spaces which are dynamical properties, and present a spectral decomposition theorem for flflows. More precisely, we prove that if a flflow is rescaling expansive and has the rescaled shadowing property on a locally compact metric space, then it admits the spectral decomposition. Moreover, we show that if a flflow on locally compact metric space has the rescaled shadowing property then its restriction on nonwandering set also has the rescaled shadowing property.