Random matrix products, loop equations and integrability

随机矩阵乘积、循环方程和可积性

• 批准号: DP170102028
• 负责人: Prof Peter Forrester
• 金额: $ 22.25万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2017
• 资助国家: 澳大利亚
• 起止时间: 2017-06-30 至 2020-06-29
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP170102028
• 关键词: Random; matrix; products; loop; equations

This project aims to research integrable structures inherent in random matrix products and loop equations. These are topics in random matrix theory, which is well known for its diverse appearances in mathematics and its applications. Integrable structures provide random matrix theory with quantitative predictions for use in these applications; link seemingly distinct theories; and are a unifying theme of fundamental and lasting importance. This project will strengthen international collaborations, provide research training, and make the footprint of Australian mathematical science more visible.

本计画旨在研究随机矩阵乘积与回路方程的可积结构。这些都是随机矩阵理论中的主题，随机矩阵理论以其在数学及其应用中的多样性而闻名。可积结构为随机矩阵理论提供了在这些应用中使用的定量预测;将看似不同的理论联系起来;并且是具有根本和持久重要性的统一主题。该项目将加强国际合作，提供研究培训，并使澳大利亚数学科学的足迹更加明显。