Mathematical Sciences: Eighth International Conference on Probability in Banach Spaces; July 7-20, 1991, Brunswick, ME

在过去的十年里，Banach空间中的概率领域与现代经验过程理论之间存在着密切的共生关系，其中一个的主要思想在另一个中有一个或多个有用的类似物。这笔赠款将资助的会议分为两个为期一周的会议。第一个主题是关于可分Banach空间中的概率，包括新的有限维极限定理，新的无限维极限定理，Banach空间中概率定理的证明以及这些结果在分析和随机集上的应用。第二周，致力于经验过程理论，将涵盖关于Vapnik-Cervonenkis组合学、熵条件、非线性泛函和其他统计方面的新工作。本次会议将于7月7日至20日在鲍登学院举行。会议每周将由一个小型课程和关于最新成果的个人讲座组成。这将为来自这两个重叠领域的分析师、概率学家和统计学家提供一个良好的互动氛围。

During the past ten years there has been a close symbiotic relationship between the areas of probability in Banach Spaces and modern empirical process theory, with the main ideas from one having one or more useful analogues in the other. The conference which this grant will support is divided into two one-week sessions. The first, devoted to probability in separable Banach spaces, will cover such topics as new finite-dimensional limit theorems, new infinite-dimensional limit theorems, proofs of probabilistic theorems in Banach spaces and applications of these results to analysis and random sets. The second week, devoted to empirical process theory, will cover new work on Vapnik-Cervonenkis combinatorics, entropy conditions, non-linear functionals and other statistical aspects. This conference will be held July 7-20 at Bowdoin College. Each week of the conference will be composed of a minicourse and individual lectures on recent results. This will provide an excellent atmosphere for analysts, probabilists and statisticians from these two overlapping fields to interact.