报告题目:The mean-field limit for interacting particle systems.
Abstract: Many biological systems can be described at two different levels. At the , we simply observe the motion of many agents (bird, fish, pedestrian…), which can be described by a system of interacting particles. At the , we observe a of individual moving in a coherent manner, which can be represented as a partial differential equation. In this talk I will give a brief introduction of the mean-field limit theory, which aims at connecting those two descriptions mentioned above.
Dr. Hui Huang is currently the Alan Mekler Postdoctoral Fellow in the Department of Mathematics at Simon Fraser University, and his mentors are Prof. Razvan C. Fetecau and Prof. Weiran Sun. In 2017, he received his PhD in Mathematics from Tsinghua University under the supervision of Prof. Huai-Yu Jian. His doctoral dissertation was conducted in consultations with Prof. Jian-Guo Liu from Duke University, where he studied as a joint PhD student from 2014 to 2016. His research has been focused on the derivation of aggregation-diffusion type differential equations from (stochastic) interacting particle systems.