45 citations · 137 across the 11 of their papers we have counts for
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math-ph2006★ 24 cited
Asymptotic analysis of random matrices with external source and a family of algebraic curves
K. D. T-R McLaughlin
We present a set of conditions which, if satisfied, provide for a complete asymptotic analysis of random matrices with source term containing two distinct eigenvalues. These condit…
math-ph2006
Random Matrices, Graphical Enumeration and the Continuum Limit of Toda Lattices
N. M. Ercolani, K. D. T-R McLaughlin, V. U. Pierce
In this paper we derive a hierarchy of differential equations which uniquely determine the coefficients in the asymptotic expansion, for large , of the logarithm of the partitio…