Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory P Deift, T Kriecherbauer, KTR McLaughlin, S Venakides, X Zhou Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1999 | 819 | 1999 |

Strong asymptotics of orthogonal polynomials with respect to exponential weights P Deift, T Kriecherbauer, KTR McLaughlin, S Venakides, X Zhou Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1999 | 641 | 1999 |

The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [− 1, 1] ABJ Kuijlaars, KTR McLaughlin, W Van Assche, M Vanlessen Advances in mathematics 188 (2), 337-398, 2004 | 270 | 2004 |

Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154) S Kamvissis, KDTR McLaughlin, PD Miller, PD Miller Princeton University Press, 2003 | 267 | 2003 |

New results on the equilibrium measure for logarithmic potentials in the presence of an external field P Deift, T Kriecherbauer, KTR McLaughlin Journal of approximation theory 95 (3), 388-475, 1998 | 241 | 1998 |

Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques and applications to graphical enumeration NM Ercolani, KDTR McLaughlin International Mathematics Research Notices 2003 (14), 755-820, 2003 | 209 | 2003 |

A continuum limit of the Toda lattice. Vol. 131 P Deift, KTR McLaughlin Memoirs of the American Mathematical Society. x, 1998 | 133* | 1998 |

The δ steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights KTR McLaughlin, PD Miller International Mathematics Research Papers 2006, 48673, 2006 | 129* | 2006 |

The steepest descent method for orthogonal polynomials on the real line with varying weights KTR McLaughlin, PD Miller International Mathematics Research Notices 2008, rnn075, 2008 | 126 | 2008 |

Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields ABJ Kuijlaars, KTR McLaughlin Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2000 | 126 | 2000 |

Long time asymptotic behavior of the focusing nonlinear Schrödinger equation M Borghese, R Jenkins, KDTR McLaughlin Annales de l'Institut Henri Poincaré C, Analyse non linéaire 35 (4), 887-920, 2018 | 123 | 2018 |

Strong asymptotics of polynomials orthogonal with respect to Freud weights. T Kriecherbauer, K McLaughlin IMRN: International Mathematics Research Notices 1999 (6), 1999 | 120 | 1999 |

Optimal tail estimates for directed last passage site percolation with geometric random variables J Baik, P Deift, K McLaughlin, P Miller, X Zhou arXiv preprint math/0112162, 2001 | 96 | 2001 |

Asymptotics for polynomials orthogonal with respect to varying exponential weights P Deift, T Kriecherbauer, KTR McLaughlin, S Venakides International Mathematics Research Notices 1997 (16), 759-782, 1997 | 86 | 1997 |

Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weights and universality results for associated ensembles: announcement of results J Baik, T Kriecherbauer, KDTR McLaughlin, PD Miller International Mathematics Research Notices 2003 (15), 821-858, 2003 | 78 | 2003 |

Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model NM Ercolani, KTR McLaughlin Physica D: Nonlinear Phenomena 152, 232-268, 2001 | 68 | 2001 |

Semiclassical limit of focusing NLS for a family of square barrier initial data R Jenkins, KDTR McLaughlin Communications on Pure and Applied Mathematics 67 (2), 246-320, 2014 | 67 | 2014 |

Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter ABJ Kuijlaars, KTR McLaughlin Computational Methods and Function Theory 1 (1), 205-233, 2001 | 64 | 2001 |

The nonlinear Schrödinger equation as both a PDE and a dynamical system D Cai, DW McLaughlin, KTR McLaughlin Handbook of dynamical systems 2, 599-675, 2002 | 63 | 2002 |

Long-time asymptotics for the NLS equation via dbar methods M Dieng, KDTR McLaughlin arXiv preprint arXiv:0805.2807, 2008 | 59 | 2008 |