Asymptotics in Integrable Systems, Random Matrices and Random Processes, and Universality

可积系统中的渐进性、随机矩阵和随机过程以及普适性

• 批准号: 1500141
• 负责人: Jinho Baik
• 金额: $ 3万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-05-01 至 2017-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1500141&HistoricalAwards=false
• 关键词: Asymptotics; Integrable; Systems; Random; Matrices

This award supports U.S. participation in the workshop "Asymptotics in Integrable Systems, Random Matrices and Random Processes, and Universality" held at the Centre de Recherches Mathematiques (CRM), Montreal, during June 7-11, 2015. In recent years there have been several important developments in the study of certain equations describing the motion of waves as well as of large time or large system-size randomly interacting systems (such as the spread of bacterial colonies or the interactions between many electrically charged particles). The mathematical methods underlying these developments have surprising commonalities. This workshop will feature presentations by over two dozen experts in these diverse fields to present their recent research results and discuss directions of future efforts. About 25 more participants are expected to be present, including many researchers in their early careers. The workshop aims to advance the field and also to help the young researchers to identify important and promising new research directions. The topics of workshop include integrable systems, random matrices andrandom processes, and their possible novel applications. These three areas have benefited from each other over the last two decades. In recent years all of them have seen new significant developments. This workshop aims to foster the exchange of these new ideas and developments by bringing together experts in these three areas to discuss progress and challenges.Workshop web site: www.crm.umontreal.ca/2015/Deift15/index_e.php

该奖项支持美国参加2015年6月7日至11日在蒙特利尔数学研究中心（CRM）举行的研讨会“可积系统，随机矩阵和随机过程中的渐近性和普遍性”。近年来，在研究某些描述波运动的方程以及大时间或大系统尺寸的随机相互作用系统（如细菌菌落的传播或许多带电粒子之间的相互作用）方面，有了几个重要的发展。 这些发展背后的数学方法有着惊人的共性。本次研讨会将由这些不同领域的二十多位专家进行演讲，介绍他们最近的研究成果，并讨论未来的努力方向。预计将有大约25名参与者出席，其中包括许多早期职业生涯的研究人员。该研讨会旨在推动该领域的发展，并帮助年轻的研究人员确定重要和有前途的新研究方向。研讨会的主题包括可积系统、随机矩阵和随机过程，以及它们可能的新应用。这三个领域在过去二十年中相互受益。近年来，所有这些都有了新的重大发展。这次讲习班的目的是通过将这三个领域的专家聚集在一起讨论进展和挑战，促进交流这些新的想法和发展。www.crm.umontreal.ca/2015/Deift15/index_e.php