Graduate and Postdoctoral Training in Probability Theory and its Applications

近年来，概率模型在金融、地球科学、神经科学、人工智能和通信网络等领域的应用有了巨大的扩展，在工程学科、物理、生态、遗传学和数学的各个领域的传统应用领域也有所增加。这就产生了对受过概率培训的研究人员开发新方法并在跨学科背景下工作的强烈需求。我们提出了各种活动来满足这些需求。研究生奖学金将加强康奈尔大学新研究人员的培训，康奈尔大学有20多名博士生，每年有4-6名博士生获得博士学位。S说。在全国范围内，每年两次为期2.5天的热门话题会议将为康奈尔大学带来一小群知名研究人员和年轻研究人员(人数相等)。会议将以描述最新发展的演讲为特色，年轻的研究人员将有一个独特的机会与该领域的领导者讨论他们的研究和公开的问题。为期两周的暑期班，包括三位著名研究人员的4-6次讲座，两个1-3系列的跨学科机会，以及选定参与者的有限数量的简短演讲，将使全国各地的大量研究生和研究人员(年轻人和老年人)受益。该项目将由来自康奈尔大学数学与运筹学研究的六名概率学家(Durrett，Lawler，Protter，Resnick，Saloff-Coste和Samorodnitsky)指导。他们的联合研究涵盖了概率及其应用的各种主题。然而，为了确保这是真正的全国性资源并涵盖现代概率的方方面面，他们将从一个由知名研究人员组成的全国委员会获得建议，该委员会代表各种专业和全国许多主要的概率群体：David Aldous(加州大学伯克利分校)，Thomas Kurtz(威斯康星大学麦迪逊分校)，Claudia Neuhauser(明尼苏达大学)，Charles Newman(库兰特研究所)，Yuval Peres(加州大学伯克利分校)，Simon Tavare‘(南加州大学)。

In recent years, there has been a tremendous expansion in the use of probability models in finance, geosciences, neuroscience, artificial intelligence and communication networks in addition to an increase in its use in traditional application areas in engineering disciplines, physics, ecology, genetics, and various fields of mathematics. This has created a strong demand for researchers trained in probability to develop new methodologies and to work in an interdisciplinary context. We propose a variety of activities to meet these needs. Graduate fellowships will enhance the training of new researchers at Cornell, where a cohort of more than 20 Ph.D. students exists and 4-6 students receive their Ph.D.'s in this subject each year. On a national scale, two yearly 2.5 day hot topics conferences will bring to Cornell a small group of established researchers and young investigators (in equal numbers). The conference will feature talks describing recent developments, and the young researchers will have a unique opportunity to discuss their research and open problems with the leaders in the field. A two week summer school featuring 4-6 lectures by three prominent researchers, two series of 1-3 on interdisciplinary opportunities, and a limited number of short talks by selected participants, will benefit a large number of graduate students and researchers (young and old) throughout the country.This project will be under the direction of six probabilists from Math and Operations Research at Cornell (Durrett, Lawler, Protter, Resnick, Saloff-Coste, and Samorodnitsky). Their combined research covers a wide variety of topics in probability and its applications. However, to ensure that this is truly a national resource and covers all aspects of modern probability, they will receive advice from a nationwide committee of prominent researchers that represent a wide variety of specialties and many of the major probability groups throughout the country: David Aldous (U.C. Berkeley), Thomas Kurtz (U. of Wisconsin, Madison), Claudia Neuhauser (U. of Minnesota), Charles Newman (Courant Institute), Yuval Peres (U. C. Berkeley), Simon Tavare' (U. of Southern California).