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- W3104183669 abstract "Exact eigenvalue correlation functions are computed for large $N$ hermitian one-matrix models with eigenvalues distributed in two symmetric cuts. An asymptotic form for orthogonal polynomials for arbitrary polynomial potentials that support a $Z_2$ symmetric distribution is obtained. This results in an exact explicit expression for the kernel at large $N$ which determines all eigenvalue correlators. The oscillating and smooth parts of the two point correlator are extracted and the universality of local fine grained and smoothed global correlators is established." @default.
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- W3104183669 date "1997-11-01" @default.
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- W3104183669 title "Orthogonal polynomials and exact correlation functions for two cut random matrix models" @default.
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- W3104183669 doi "https://doi.org/10.1016/s0550-3213(97)00561-0" @default.
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