THE APPLICATION OF RANDOM MATRICES IN MATHEMATICAL PHYSICS

• 作者: Boling Guo Fangfang Li
• 来源期刊: 应用数学年刊：英文版
• 学科: 物理学
• 年，卷（期）: 2017,（3）
• 页码范围: 221-238
• 页数: 18页
• 分类号: O4

摘要

In this paper, we introduce the application of random matrices in mathematical physics including Riemann-Hilbert problem, nuclear physics, big data,image processing, compressed sensing and so on. We start with the RiemannHilbert problem and state the relation between the probability distribution of nontrivial zeros and the eigenvalues of the random matrices. Through the random matrices theory, we derive the distribution of Neutron width and probability density between energy levels. In addition, the application of random matrices in quantum chromo dynamics and two dimensional Einstein gravity equations is also present in this paper.