【直播】【兰州大学兰州理论物理中心（筹）】华盛顿大学钱紘教授：The Mathematical Structure of ……

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报告题目

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

报告人（单位）

钱紘 教授（华盛顿大学）

报告时间

2022年2月12日 10:00

主办方

兰州大学兰州理论物理中心（筹）

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报告人介绍

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.

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”.

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