Random matrices and processes

随机矩阵和过程

• 批准号: 298456-2009
• 负责人: Virag, Balint
• 金额: $ 3.06万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=526041
• 关键词: Random; matrices; processes

The goal of this project is to further understand the structure of random matrices and their relationships with other areas of probability, mathematics and science in general.The theory of random matrices originates in two distinct applications: the structure of large data sets, whose study was initiated by statisticians in the 1930's, and the structure of atomic nuclei, studied by the Nobel laurate Eugene Wigner in the 1950s. Our work will answer questions raised by Wigner and Dyson at the onset of this theory.

这个项目的目标是进一步了解随机矩阵的结构及其与其他概率、数学和科学领域的关系。随机矩阵理论起源于两个不同的应用：大数据集的结构，其研究由统计学家S在20世纪30年代发起；原子核的结构，由诺贝尔经济学奖得主尤金·维格纳于20世纪50年代研究。我们的工作将回答Wigner和Dyson在这一理论开始时提出的问题。