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

基本信息

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

项目摘要

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研讨会“在蒙特利尔的中心（CRM）在2015年6月7日至11日在蒙特利尔中心举行的中心举行的“可集成系统，随机矩阵和随机过程以及普遍性”的研讨会。近年来，近年来有几个重要的系统在大型系统中进行了几个重要的发展。菌落或许多电荷颗粒之间的相互作用）。这些发展基础的数学方法具有令人惊讶的共同点。该研讨会将在这些不同领域的二十多名专家进行演讲，以介绍他们最近的研究结果并讨论未来努力的方向。预计将有大约25名参与者在场，其中包括许多早期职业的研究人员。该研讨会旨在推进该领域，并帮助年轻的研究人员确定重要和有希望的新研究方向。研讨会的主题包括可集成的系统，随机矩阵Andrandom流程及其可能的新应用。在过去的二十年中，这三个领域彼此受益。近年来，他们所有人都看到了新的重大发展。该研讨会旨在通过将这三个领域的专家汇集在一起讨论进度和挑战。