Conference Support: Harmonic Analysis, Ergodic Theory and Probability; Palo Alto, CA

这个奖项是部分支持谐波分析，遍历理论和概率会议。 这些主题之间相互作用的一个经典例子是使用调和分析来证明遍历平均的收敛结果。 最近，这两个领域之间有很多相互作用，包括在几个开放问题上的重大进展。这种相互作用涉及概率论中的积极兴趣，如鞅，伯努利卷积和随机多项式。这些领域在过去几年中独立取得的看似不相关的进展有几个共同的特点，拟议的会议将阐明这些关系。会议的目的是使这些进展更好地了解和讨论开放的问题，会议的更广泛的影响是扩大这些密切相关领域的研究活动，汇集不同领域的研究人员解决类似问题，加强在不同物理位置工作的团体之间的合作。我们计划特别鼓励妇女、代表性不足的少数民族、初级数学家和研究生参加，预算的很大一部分专门用于这方面。

This award is for partial support a conference on Harmonic Analysis, Ergodic Theory and Probability. A classic example of the interplay among these topics is the use of harmonic analysis to prove convergence results for ergodic averages. Recently, there has been a great deal of interplay between these two fields, including major advances on several open problems. This interplay touches upon subjects of active interest in probability theory, such as martingales, Bernoulli convolutions and random polynomials. Seemingly unrelated advances in these fields that were reached independently in the past few years have several joint features and the proposed conference will elucidate these relations. The conference aims to make these advances better known and discuss open problems.The broader impact of the meeting is to expand research activities in these closely related fields, bringing together researchers in different areas to solve similar problems and strengthening the cooperation between groups working in different physical locations. We plan to especially encourage women, underrepresented minorities, junior mathematicians and graduate students to attend and a significant portion of the budget is devoted to this.