主讲人：钱紘 教授（华盛顿大学）

题目：The Mathematical Structure of Statistical Physics and Big Data —— The Two Pathways from Prior to Posterior Probability

时间：2022年02月12日上午10：00

会议ID:（腾讯会议）253-793-662

报告摘要：

There are two pathways from the prior to posterior probability:  The empiricism is based on observations in the form of empirical frequencies; the statistical mechanics is based on an energy function.  The Sanov entropy is a functional of the frequency and the Helmholtz free energy is a functional of the energy function: They are Legendre dual with respect to each other.  In statistical mechanics and information theory, the Sanov entropy becomes the Gibbs-Clausius entropy (in units of the Boltzmann constant) and the Shannon entropy respectively. The two pathways can be conceptually identified as “kinematics” vs. “energetics”.

个人简介：

Professor Hong Qian is Olga Jung Wan Endowed Professor of Applied Mathematics at University of Washington, Seattle. He received his B.A. in Astrophysics from Peking University and Ph.D. in Biochemistry from Washington University in St. Louis, and worked as postdoctoral researcher at University of Oregon and Caltech on biophysical chemistry and mathematical biology. He was elected a fellow of the American Physical Society in 2010. Professor Qian's main research interest is the mathematical approach to and physical understanding of biological systems, especially in terms of stochastic mathematics and nonequilibrium statistical physics.