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The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles (1504.06904v1)
Published 27 Apr 2015 in math.SP and math.PR
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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