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

9706670 这项拨款是为了支持将于1997年10月在西北大学举行的概率论、遍历理论和分析会议。 这将是中西部概率座谈会的延伸，在过去的18年里，每年都在西北部举行。 会议将集中讨论与几乎处处收敛有关的概率论和遍历理论的主题。 这是一个领域，一直非常活跃，在过去的几年中，有很大的增加所产生的布尔甘的解决方案的收敛遍历平均沿着序列的广场。 许多重要的物理现象，如股票市场的行为，超市中的排队，以及从远处传输源接收的数据，都表现出局部不稳定的行为，通过观察长期平均行为可以更好地理解。 研究这样的随机过程及其相互之间的联系，以及它们与其他不那么随机的过程在精细结构方面的联系，是现代数学的核心。 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模型所能模拟的物理现象的演变。

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.