天元名家讲座 | The Theory of Entropy: Its Mathematics and Mathematical Physics
报 告 人： 钱纮 教授
所在单位： 华盛顿大学 (University of Washington)
报告地点： 数学楼第一报告厅
报告时间： 2024-07-30 15:00:00
报告简介：

The concept of information entropy is introduced in the limit of "Big Data".  Consistent with the notion in physics, it is a Eulerian homogeneous degree-one function of its independent variables, together with a variational principle.  Through constrained optimization, Legendre-Fenchel transform leads to a geometric view of the  entropy theory. I shall discuss three interesting discoveries:  A non-logarithmic entropy function for Markov counting, an information (free energy) manifold $I_F$, and the Minkowski geometry for the polar set of $I_F$.  This is a joint work with Bing Miao and Yong-Shi Wu.
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主讲人简介：
Professor Qian received his B.A. in Astrophysics from Peking University in China, and his Ph.D. in Biochemistry and Biophysics from Washington University School of Medicine in St. Louis. Subsequently, he worked as postdoctoral researcher at University of Oregon and Caltech on biophysical chemistry and mathematical biology. Before joining the University of Washington, he was an assistant professor of Biomathematics at UCLA School of Medicine. From 1992-1994, he was a fellow with the Program in Mathematics and Molecular Biology (PMMB), a NSF-funded multi-university consortium. 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. In recent years, he has been particularly interested in a nonlinear, stochastic, open system approach to cellular dynamics. Similar population dynamic approach can be applied to other complex systems and processes, such as those in ecology, infection epidemics, and economics. He believes his recent work on the statistical thermodynamic laws of general Markov processes can have applications in ecomomic dynamics and theory of values. In his research on cellular biology, his recent interest is in isogenetic variations and possible pre-genetic biochemical origins of oncogenesis.