Statistical properties of physical-like measures

Speaker: Jiagang Yang, UFF.

Date: 20 nov 2020, 16h

Place: Remotely via Google Meet here.

Abstract: In this talk we explain the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings: any weak-* limit of physical-like measures along a sequence of C¹ diffeomorphisms f_n must be a Gibbs F-state for the limiting map f. As a consequence, we establish the statistical stability for the C¹ perturbation of the time-one map of three-dimensional Lorenz attractors.

This is a joint work with Shaobo Gan, Fan Yang and Rusong Zheng.

References: S. Gan, F. Yang, J. Yang and R. Zheng. Statistical properties of physical-like measures. www.arxiv.org.