微分动力系统报告

报告题目: Ergodic theory for vector fields with singularities

报告人：杨大伟 （苏州大学）

时间：2021-11-30 13：30-14：30

腾讯会议ID: 417-262-031

摘要：We study vector fields with singularities from the viewpoint of ergodic theory. One important prototype is the Lorenz attractor. Theoretical notions for the weak hyperbolicity of vector fields with singularites include singular hyperbolicity and multi-singular hyperbolicity. Sinai-Ruelle-Bowen measures are generally one the most interesting measures to characterize the ergodic properties of attractors. Our main results are the existence and finiteness of SRB measures for most singular hyperbolic vector fields and multi-singular vector fields. The technics involve thermodynamical formalism, C^\infty tricks, blow-ups, generic arguments and Liao's canonical equations.

邀请人：文晓、张金华