Ergodic theory for vector fields with singularities
时间  Datetime
2021-12-14 13:30 — 14:30
地点  Venue
腾讯会议 APP3()
报告人  Speaker
杨大伟
单位  Affiliation
苏州大学
邀请人  Host
王晓东
备注  remarks
腾讯会议：743-284-278 会议密码：123123
报告摘要  Abstract

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 of 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^∞ tricks, blow-ups, generic arguments and Liao's canonical equations.
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