Talk:Gaussian unitary ensemble

According to the random matrix page, the GUE has applications to nuclear physics. As this page shows, it also has applications in researching the statistics of the nontrivial zeroes of the Riemann zeta function, as the eigenvalues of the GUE are spaced similarly (after normalization) to the nontrivial zeroes of the Riemann zeta function. This is relevant to the Riemann hypothesis, a very important problem in number theory and analysis. This paper states (midway down the fourth page) that zeroes of L-functions having an Euler product also exhibit similar statistical behavior to the eigenvalues of the Circular ensemble, a modification of the GUE. Can anyone add these applications (and others) of the GUE to its page? I unfortunately lack any experience writing Wikipedia articles. - 71.132.209.243 (talk) 04:24, 14 May 2010 (UTC)