Year: 2017
Author: Boling Guo, Fangfang Li
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 221–238
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 presented in this paper.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20607
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 221–238
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: random matrices Riemann Hypothesis Riemann-Hilbert problem nuclear physics.