Large Random Matrices: Eigenvalue Distribution

Details Large Random Matrices: Eigenvalue Distribution Large Random Matrices: Eigenvalue Distribution

1994-01-31

arxiv.org/abs/hep-th/9401165v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

A recursive method is derived to calculate all eigenvalue correlation functions of a random hermitian matrix in the large size limit, and after smoothing of the short scale oscillations. The property that the two-point function is universal, is recovered and the three and four-point functions are given explicitly. One observes that higher order correlation functions are linear combinations of universal functions with coefficients depending on an increasing number of parameters of the matrix distribution.

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