Probability Seminar——On the convergence rates of superdiffusion in the periodic Lorentz gas
报告人:李宋子(Li Songzi, Renmin University of China)
时间:2020-12-07 14:00-15:00
地点:Room 1114, Sciences Building No. 1
Abstract: In this talk, we study the convergence rates of superdiffusion in periodic Lorentz gas, which is one of the fundamental models for chaotic diffusion. In their seminal work, J. Marklof and his collaborators proved the Boltzmann-Grad limit of the periodic Lorentz gas, and then obtained a superdiffusive central limit theorem in large times t for the Boltzmann-Grad limit. Based on their work, we derive the convergence rates in Wasserstein distance by applying Stein's method.