Fixed trace β-Hermite ensembles: Asymptotic eigenvalue density and the edge of the density
Fixed trace β-Hermite ensembles: Asymptotic eigenvalue density and the edge of the density
In the present paper, fixed trace $\beta$-Hermite ensembles generalizing the fixed trace Gaussian Hermite ensemble are considered. For all $\beta$, we prove the Wigner semicircle law for these ensembles by using two different methods: one is the moment equivalence method with the help of the matrix model for general $\beta$, …