Speaker：Tianyu Wang (Shanghai Center for Mathematical Sciences)

Time：2023-4-25, 15:00

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

In this talk，we mainly discuss a type of measure-theoretic stability in dynamical system. Precisely, we focus on non-uniformly expanding circle maps whose neutral behavior lies in a unique Hőlder type fixed point, with exponent being potentially distinct on different sides. We show that under absolutely continuous perturbation, the respective stationary measure converges to the SRB measure in a strong sense as the noise goes down to zero. The talk is based on a recent joint work with Professor Weixiao Shen.