18 citations · 37 across the 13 of their papers we have counts for
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math-ph2011
The Continuum Limit of Toda Lattices for Random Matrices with Odd Weights
Nicholas M. Ercolani, Virgil U. Pierce
This paper is concerned with the asymptotic behavior of the free energy for a class of Hermitean random matrix models, with odd degree polynomial potential, in the large N limit. I…
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…