%0 Journal Article %T The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles %A Trinh Khanh Duy %A Tomoyuki Shirai %J Mathematics %D 2015 %I arXiv %X An explicit formula for the mean spectral measure of a random Jacobi matrix is derived. The matrix may be regarded as the limit of Gaussian beta ensemble (G$\beta$E) matrices as the matrix size $N$ tends to infinity with the constraint that $N \beta $ is a constant. %U http://arxiv.org/abs/1504.06904v1