Physics
In nuclear physics, random matrices were introduced by Eugene Wigner to model the nuclei of heavy atoms. Wigner postulated that the spacing… 展开

Random matrix theory first gained attention beyond mathematics literature in the context of nuclear physics. Experiments by Enrico Fermi and others demonstrated evidence that ind… 展开

The most-commonly studied random matrix distributions are the Gaussian ensembles: GOE, GUE and GSE. They are often denoted by their Dyson index, β = 1 for GOE, β = 2 for G… 展开

Wigner matrices are random Hermitian matrices H n = ( H n ( i , j ) ) i , j = 1 n {\textstyle H_{n}=(H_{n}(i,j))_{i,j=1}^{n}} such that the entries Invariant matrix ensembles are r… 展开