|
| THE APPLICATION OF RANDOM MATRICES IN MATHEMATICAL PHYSICS |
| Boling Guo,Fangfang Li |
| (Institute of Applied Physics and Computational Math., Beijing 100088, PR China;School of Math. and Statistics, Zhoukou Normal University, Zhoukou 466001, Henan, PR China) |
| DOI： |
| Abstract: |
| 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 Riemann-Hilbert 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. |
| Key words: random matrices; Riemann Hypothesis; Riemann-Hilbert problem; nuclear physics |