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Fan Yang

University of Oklahoma



Lorenz-like classes are entropy expansive



November 25, 2019
1:00 pm    PHG 646



Abstract
 

In this talk, we will discuss the difficulty in the study of singular flows, and present some recent progress on the entropy theory for Lorenz attractors in any dimension. In particular, we will show that every sectional hyperbolic set is robustly entropy expansive, and every Lyapunov stable sectional hyperbolic set has positive entropy. Finally, we will show that for generic \(C^1\) flows, every Lorenz-like class is an attractor. This is joint work with Maria Jose Pacifico and Jiagang Yang.






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