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中的使用有了巨大的扩展，除了在工程学科、物理学、生态学、遗传学和数学的各个领域的传统应用领域中的使用有所增加之外。这创造了一个强大的需求，研究人员在概率培训，开发新的方法，并在跨学科的背景下工作。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对新研究人员的培训，那里有20多名博士生。学生存在，4-6名学生获得博士学位。每年都在这个科目上。在全国范围内，每年两次为期2.5天的热点主题会议将为康奈尔大学带来一小群成熟的研究人员和年轻的研究人员（人数相等）。会议将以描述最新发展的会谈为特色，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开放问题。为期两周的暑期学校，包括三位杰出研究人员的4-6次讲座，两个系列的1-3次跨学科机会，以及选定参与者的有限数量的简短演讲，将使大量研究生和研究人员受益。这个项目将由康奈尔大学数学和运筹学的六位概率学家指导（Durrett，Lawler，Protter，Resnick，Saloff-Coste，and Samorodnitsky）。他们的综合研究涵盖了各种各样的主题概率及其应用。然而，为了确保这是一个真正的国家资源，并涵盖了现代概率的各个方面，他们将收到来自全国著名研究人员委员会的建议，这些研究人员代表了全国各地的各种专业和许多主要的概率团体：大卫奥尔德斯（U.C.伯克利），托马斯库尔茨（美国）。威斯康星州，麦迪逊），克劳迪娅诺伊豪泽（美国。明尼苏达州），查尔斯纽曼（柯朗研究所），尤瓦尔佩雷斯（美国。C. Berkeley），Simon Tavare'（U.南加州）。

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).