Conference on Probability, Ergodic Theory and Analysis; October 23-26, 1997; Evanston, Illinois

概率、遍历理论与分析会议；

• 批准号: 9706670
• 负责人: Mark Pinsky
• 金额: $ 1.6万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-01 至 1998-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9706670&HistoricalAwards=false
• 关键词: Conference; Probability; Ergodic; Theory; Analysis

9706670 This grant is to support a conference on Probability Theory, Ergodic Theory, and Analysis, to be held at Northwestern University in October, 1997. It will be an extension of the Midwest Probability Colloquium that has been held annually at Northwestern during the past 18 years. The conference will focus on topics from probability theory and ergodic theory that relate to almost everywhere convergence. This is an area that has been very active in the last several years, with a large increase generated by Bourgain's solution of the convergence of ergodic averages along the sequence of squares. Many important physical phenomena, as varied as the behavior of the stock market, lines in the supermarket, and data being received from a distant transmission source, exhibit locally erratic behavior which can be understood better by looking at the long term average behavior instead. The study of such stochastic processes and their connections with one another, as well as their connections in terms of their fine structure with other less random processes, is a central one in modern mathematics. It is only through such studies that we will be able to understand better and thus be able to control or predict the evolution of the physical phenomena which this mathematics can model.

9706670这笔赠款用于资助将于1997年10月在西北大学举行的概率论、遍历理论和分析会议。这将是过去18年来每年在西北大学举行的中西部概率研讨会的延伸。会议将集中讨论概率论和遍历理论的主题，这些主题与几乎所有地方的收敛有关。这是一个在过去几年中非常活跃的领域，由于Bourain关于沿着平方序列的遍历平均收敛的解而产生了很大的增长。许多重要的物理现象，如股票市场的行为、超市里的队伍以及从远程传输源接收的数据，都表现出局部的不稳定行为，而通过查看长期平均行为可以更好地理解这些行为。研究这种随机过程及其相互之间的联系，以及它们与其他较不随机的过程的精细结构之间的联系，是现代数学中的一个中心问题。只有通过这样的研究，我们才能更好地理解，从而能够控制或预测这种数学可以模拟的物理现象的演变。