Probability Postdoctoral Training Center

该奖项将支持在华盛顿大学建立一个概率博士后培训中心。本中心将在概率领域资助4名博士后研究人员，每人为期两年。它将与微软研究理论单位、英属哥伦比亚大学以及即将在加拿大西部建立的PIMS随机学博士后培训中心（PPTCS）密切协调活动。这些团体将共同举办活动，包括博士后年度务虚会、概率暑期学校和会议。这些中心还将定期邀请来自世界各地的顶尖专家就概率论的最新发展举行座谈会，并讲授短期课程。华盛顿大学中心和PPTCS的结合将形成一个世界级的概率训练中心，将学术和工业研究人员聚集在国际环境中，并将对数学科学产生重大影响。通过联合项目，博士后将有机会与更多的年轻同事以及更多的知名导师互动，而不是在几乎任何其他环境中。除了科学互动之外，博士后还将获得赞助商的职业指导。这种指导将在他们职业生涯的重要时期出现，并培训他们在工业或学院工作。概率论是一门迅速发展的学科，在数学科学中越来越重要。华盛顿大学（University of Washington）、微软研究院（Microsoft Research）和不列颠哥伦比亚大学（University of British Columbia）的概率学家共同组成了一个在研究质量和多样性方面都出类拔萃的团队。这些科学家帮助领导了概率论领域的发展，并展示了概率论与数学和理论计算机科学的其他领域之间的联系。他们将指导博士后在许多概率领域的研究；连续和离散，以及纯和应用。博士后拟研究的课题包括随机环境下的随机漫步、第一通道渗流和随机图的谱测度。博士后还将研究分析与概率之间的关系，特别是与布朗运动和随机洛厄纳演化的关系。该中心还将研究概率论在金融和太阳能等领域的应用。这一建议得到了数学科学司和国际综合活动办公室的联合支持。

This award will support the foundation of a postdoctoral training center in probability at the University of Washington. This center will support four postdoctoral researchers, each for a period of two years, in the field of probability. It will closely coordinate activities with the Microsoft Research theory unit, the University of British Columbia, and the soon to be established PIMS Postdoctoral Training Centre in Stochastics (PPTCS) in western Canada. These groups will co-host activities, including an annual retreat for postdocs, a probability summer school, and conferences. The centers will also regularly bring in leading experts from around the world to give colloquia and to teach short courses on the most recent developments in probability. The combination of the University of Washington center and the PPTCS will form a world-class hub for probability training, bringing together academic and industrial researchers in an international setting, and will have significant impacts on the mathematical sciences. With the combined programs, the postdocs will have the opportunity to interact with more of their young colleagues as well as more established mentors than they could in almost any other setting. In addition to the scientific interactions, the postdocs will receive career mentoring from their sponsors. This mentorship will come at a significant time in their career and train them to work either in industry or the academy.Probability is a rapidly growing subject which is assuming increasing importance in the mathematical sciences. Together, the probabilists at the University of Washington, Microsoft Research and University of British Columbia form a group that excels in both quality and diversity of research. These scientists have helped to lead the growth in the field of probability and show the connections between probability and other areas of mathematics and theoretical computer science. They will mentor the postdocs on research in many areas of probability; both continuous and discrete as well as pure and applied. The topics to be investigated by the postdoctoral scholars include random walk in a random environment, first passage percolation and the spectral measures for random graphs. The postdocs will also study the relationships between analysis and probability, specifically the relationships with Brownian motion and Stochastic Loewner evolution. The center will also study applications of probability to topics such as finance and to solar energy. This proposal is jointly supported by the Division of Mathematical Sciences and the Office of International and Integrative Activities.