A synthesis of random matrix theory for applications in mathematics, physics and engineering

随机矩阵理论在数学、物理和工程中的综合应用

• 批准号: DP140102613
• 负责人: Prof Peter Forrester
• 金额: $ 27.25万
• 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: 2014
• 资助国家: 澳大利亚
• 起止时间: 2014-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP140102613
• 关键词: synthesis; random; matrix; theory; applications

Random matrix theory, matrix theory where the elements are random, or the matrix chosen from an ensemble, is driven by its ever expanding range of applications, and the richness of the mathematics being uncovered. These applications include topics of acknowledged modern day importance, for example quantum information theory, wireless communication, data analysis, signal processing and the study of algorithms. Buoyed by promising preliminary investigations, this project aims to draw together seemingly disparate techniques to tackle problems from such topics. In addition to providing solutions to these problems, these methods are expected to provide inspiration for fellow researchers.

随机矩阵理论，其中元素是随机的矩阵理论，或从系综中选择的矩阵，是由其不断扩大的应用范围和所发现的丰富的数学所驱动的。这些应用包括当今公认的重要课题，例如量子信息理论、无线通信、数据分析、信号处理和算法研究。在有希望的初步调查的支持下，该项目旨在将看似完全不同的技术结合在一起，以解决此类主题中的问题。除了为这些问题提供解决方案外，这些方法有望为其他研究人员提供灵感。