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​Equilibrium measure of stochastic matrix and orthogonal polynomials

2018-06-10
 

Academic Report

Title: Equilibrium measure of stochastic matrix and orthogonal polynomials

Reporter: Prof. FAN Engui(School of Mathematical Sciences, Fudan University)

Time: June 11, 2018 (Monday) PM 13:00-15:00

Location: A1101# room, Innovation Park Building

Contact: Prof. WANG Zhen (Email:wangzhen@)

Abstract: In physics, the equilibrium measure is essentially the distribution of charge in the conductor under the external force field. In mathematics, equilibrium measure plays an important role in the distribution of eigenvalues in stochastic matrix and the distribution of leading points in orthogonal polynomials. This report provides an effective way to calculate equilibrium measures.

The brief introduction to the reporter: Fan Engui, professor and doctoral supervisor of School of Mathematical Sciences, Fudan University. His research fields include mathematical physics, partial differential equations, Riemann-Hilbert methods, orthogonal polynomials and stochastic matrices. He has been a member of the national 973 project two times, and has hosted the National Natural Science Fund, the Shanghai ShuGuang program, the Shanghai ShuGuang program tracking project, the Doctoral Fund of the Ministry of education and many other research topics. He was invited to visit University of Missouri, Michigan State University, University of Texas, Kyoto University, Warsaw University, University of Hong Kong and so on. More than 100 papers have been published in important foreign publications, and these papers have been cited by SCI journals more than 3000 times. In 2002, he won the title of Shanghai Shuguang scholar, in 2007, won the second prize of Shanghai natural science and 2016, and won the second prize of the natural science of the Ministry of education and 2017, and won the Gu Chaohao mathematics prize.