题目:Ergodic Theory of Lorenz attractors
报告人:王晓东 教授 (上海交通大学)
时间:2025年3月7日 10:00-11:00
地点:致远楼101室
Abstract:The Lorenz attractor is one of most classical models of chaotic dynamical systems and has drawn lots of interest since it was introduced in the 1960s. In this talk, we focus on the ergodic measure space of Lorenz attractors and study its ergodic theory including denseness of periodic measures, path-connectedness of ergodic measure space, the multifractal analysis and the intermediate entropy property. Some of the properties hold for more general systems like singular hyperbolic attractors or star vector fields.
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