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从微观到宏观:概率与偏微分方程

时间:2021.06.13 10:30-11:40

地点:腾讯会议 191 854 755

主讲人:陈振庆

主讲人简介:

陈振庆教授,是国际顶级期刊《The Annals of Probability》的副主编,国际顶级期刊《Potential Analysis》和《Proceedings of the American Mathematical Society》的主编,《中国科学》等众多期刊的编委。 陈振庆教授,1992年在美国华盛顿大学(圣路易斯)获博士学位,曾在美国的加利福尼亚大学(圣地亚哥)和康奈尔大学工作;1998年起在位于华盛顿州西雅图市的华盛顿大学数学系工作至今。主要从事概率论及随机过程的研究,主要研究方向是:随机分析,随机微分方程,马氏过程及其位势理论,狄氏型,发表论文150余篇。

活动内容摘要:

A host of diverse phenomena, such as ecological systems, population dynamics, chemical reactions, super-conductivity, quantum dynamics and fluid dynamics, can be modelled by interacting particle systems. A principal theme in investigating these phenomena is to connect the microscopic mechanisms of the systems with the collective behaviors that emerge in the macroscopic scale under suitable space-time scaling. The mathematical theory for the connections is through the hydrodynamic limits (described by PDEs) and the fluctuation limits (described by stochastic PDEs). In this talk, I will present a brief survey and illustrate these fascinating connections through two concrete models: heat propagations in Euclidean space as well as in rooms, and the transports of positive and negative charges in solar cells. 

主持人:闫理坦、张振中