45 citations · 215 across the 31 of their papers we have counts for
7 papers · 1 filter
Phase Diagram and Topological Expansion in the Complex Quartic Random Matrix Model
Pavel Bleher, Roozbeh Gharakhloo, Kenneth T-R McLaughlin
We use the Riemann-Hilbert approach, together with string and Toda equations, to study the topological expansion in the quartic random matrix model. The coefficients of the topolog…
Correlation Functions for a Chain of Short Range Oscillators
Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer +1
We consider a system of harmonic oscillators with short range interactions and we study their correlation functions when the initial data is sampled with respect to the Gibbs measu…
A Study of the Direct Spectral Transform for the Defocusing Davey-Stewartson II Equation in the Semiclassical Limit
O. Assainova, C. Klein, K. McLaughlin +1
The defocusing Davey-Stewartson II equation has been shown in numerical experiments to exhibit behavior in the semiclassical limit that qualitatively resembles that of its one-dime…
Long Time Asymptotic Behavior of the Focusing Nonlinear Schrodinger Equation
Michael Borghese, Robert Jenkins, Kenneth D. T. -R. McLaughlin
We study the Cauchy problem for the focusing nonlinear Schrodinger (NLS) equation. Using the DBAR generalization of the nonlinear steepest descent method we compute the long time a…
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…
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…