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 fn 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.