NSF/CBMS Regional Conference in the Mathematical Sciences--"Stochastic Partial Differential Equations and Their Applications"

越来越多的人认识到在复杂系统的建模中包含随机项的作用。这些项的加入在概率和偏微分方程式的交界处产生了有趣的新数学问题。为了量化这些系统的不确定性和估计其可预测性，我们需要更好地理解随机偏微分方程组。因此，随机偏微分方程解的研究近年来引起了理论界和实务界的广泛关注。现在正是在这一领域举行一次聚焦于此的会议的时候。本次会议的首席讲师是波兰科学院数学研究所的Jerzy Zabczyk教授。Jerzy Zabczyk对随机偏微分方程的研究使他走在了这一令人兴奋的领域的前沿。他是研究专著《无限维中的随机方程》(1992)和《无限维中的遍历性》(1996)的合著者。他是唯一有资格概述这一学科的主要最新发展并指出未来研究方向的人。科学和工程系统经常受到随机影响。随机偏微分方程是适用于许多随机影响系统的模型。本次会议旨在促进随机偏微分方程及其在工程、科学和金融中的应用的新研究，通过聚集现有的研究人员、研究生和博士后研究员。讲座讲稿将出版，并将向对该主题感兴趣的广泛的专业听众开放。

There is a growing recognition of a role for the inclusion of stochastic terms in the modeling of complex systems. The addition of such terms has led to interesting new mathematical problems at the interface of probability and partial differential equations. In order to quantify uncertainty and estimate predictability of these systems, we need better understanding of stochastic partial differential equations. Thus, the investigation of stochastic partial differential equations has attracted a lot of attention recently, from both theoretical and applied communities. It is now the very time to have a sharply focused conference in this field. The Principal Lecturer for this conference is Professor Jerzy Zabczyk, Institute of Mathematics, Polish Academy of Sciences, Poland. Jerzy Zabczyk's research on stochastic partial differential equations places him at the forefront of this exciting area. He is the co-author of the research monographs``Stochastic Equations in Infinite Dimensions" (1992) and ``Ergodicity in Infinite Dimensions" (1996). He is uniquely qualified to provide an overview of the major recent developments in the subject and point to research directions in the future.Scientific and engineering systems are often subject to random influence. Stochastic partial differential equations are appropriate models for many randomly influenced systems. This conference is to stimulate new research on stochastic partial differential equations and their applications in engineering, science and finance, by bringing together both established researchers and graduate students and postdoctoral fellows.The lecture notes will be published and will be accessible to a wide audience of professionals interested in the subject.