Random matrices and integrable systems

随机矩阵和可积系统

• 批准号: 45858-2007
• 负责人: Harnad, John
• 金额: $ 2.48万
• 依托单位: Concordia University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=475048
• 关键词: Random; matrices; integrable; systems

This program concerns the interface between the theory of integrable systems and the spectral theory of random matrices. The motivation for this work derives from the very wide applicability of results from random matrix theory in diverse areas of physics. Amongst the most prominent are: its relation to growth phenomena, both deterministic and stochastic; the computation of correlation functions in super Yang-Mills theory; problems of graphical enumeration, two dimensional quantum gravity, and conformal models.

该程序涉及可积系统理论和随机矩阵谱理论之间的接口。这项工作的动机源于随机矩阵理论的结果在不同物理领域的广泛适用性。其中最突出的是：它与增长现象的关系，包括确定性和随机性；超杨-米尔斯理论中相关函数的计算；图解枚举、二维量子引力和共形模型的问题。