TY - JOUR
T1 - The Application of Random Matrices in Mathematical Physics
AU - Guo , Boling
AU - Li , Fangfang
JO - Annals of Applied Mathematics
VL - 3
SP - 221
EP - 238
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20607.html
KW - random matrices, Riemann Hypothesis, Riemann-Hilbert problem, nuclear physics.
AB - <p style="text-align: justify;">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.</p>