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In these notes we review recent progress (and, in Section 5, we announce a new result) oncerning the statistical properties of the spectrum of Wigner random matrices.
Asymptotes in $SU(2)$ Recoupling Theory: Wigner Matrices, $3j$ Symbols, and Character Localization
SU(2) representation theory semiclassical analysis
2010/12/14
In this paper we employ a novel technique combining the Euler Maclaurin formula with the saddle point approximation method to obtain the asymptotic behavior (in the limit of large representation index...