Speaker：Jinhua Zhang（Beihang University）

Time：2022-04-08, 15:00

Location：Tencent Meeting ID：708780715（No Password）

Abstract:

In the long march to Smale’s stability conjecture, a class of systems called star systems has been studied by S. Liao and R. Mañé. Star diffeomorphisms or non-singular star flows are uniformly hyperbolic. Sinai, Ruelle and Bowen showed that Cr (r>1) hyperbolic systems admit finitely many physical measures whose basins form a Lebesgue full measure set.

Singular star flows may not be hyperbolic, but are interesting because famous Lorenz attractors and other chaotic phenomena are contained in this class. In this talk, we will show that “most” star flows admit finitely many physical measures whose basins form a Lebesgue full measure set. This is a joint work with S. Crovisier, X. Wang and D. Yang.