Dynamical Systems Seminar Friday: Ergodic Theory of Lorenz attractors

Speaker: Xiaodong Wang (Shanghai Jiaotong)

Time: 2025-09-05 11:00
Zoom Meeting ID: 844 0594 7424 (Passcode:076895)

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/pressure property. Some of the properties hold for more general systems like singular hyperbolic attractors or star vector fields.


About Speaker
Professor Xiaodong Wang currently works at the Department of Mathematics, Shanghai Jiao Tong University. He originally did his PhD at Peking University and at the University of Paris Sud. His research interests are in the field of Dynamical Systems, specifically, in the field of Hyperbolic Dynamics, Ergodic Theory, and their intersections.

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