The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles

Published 27 Apr 2015 in math.SP and math.PR | (1504.06904v1)

Abstract: 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.

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