Applied asymptotic analysis, volume 75 of Graduate Studies in Mathematics PD Miller American Mathematical Society, Providence, RI, 2006 | 467 | 2006 |

Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154) S Kamvissis, KDTR McLaughlin, PD Miller, PD Miller Princeton University Press, 2003 | 249 | 2003 |

Discrete Orthogonal Polynomials.(AM-164): Asymptotics and Applications (AM-164) J Baik, T Kriecherbauer, KDTR McLaughlin, PD Miller Princeton University Press, 2007 | 200 | 2007 |

A robust inverse scattering transform for the focusing nonlinear Schrödinger equation D Bilman, PD Miller Communications on Pure and Applied Mathematics 72 (8), 1722-1805, 2019 | 122 | 2019 |

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 | 122 | 2008 |

The∂ 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 arXiv preprint math.CA/0406484, 2008 | 114 | 2008 |

Finite genus solutions to the Ablowitz‐Ladik equations PD Miller, NM Ercolani, IM Krichever, CD Levermore Communications on Pure and Applied Mathematics 48 (12), 1369-1440, 1995 | 103 | 1995 |

Exploiting discreteness for switching in waveguide arrays O Bang, PD Miller Optics letters 21 (15), 1105-1107, 1996 | 102 | 1996 |

On the semiclassical limit of the focusing nonlinear Schrödinger equation PD Miller, S Kamvissis Physics Letters A 247 (1-2), 75-86, 1998 | 100 | 1998 |

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 | 97 | 2001 |

The quantum discrete self-trapping equation in the Hartree approximation E Wright, JC Eilbeck, MH Hays, PD Miller, AC Scott Physica D: Nonlinear Phenomena 69 (1-2), 18-32, 1993 | 93 | 1993 |

Self-similar evolution of self-written waveguides TM Monro, PD Miller, L Poladian, CM de Sterke Optics letters 23 (4), 268-270, 1998 | 92 | 1998 |

On the generation of solitons and breathers in the modified Korteweg–de Vries equation S Clarke, R Grimshaw, P Miller, E Pelinovsky, T Talipova Chaos: An Interdisciplinary Journal of Nonlinear Science 10 (2), 383-392, 2000 | 89 | 2000 |

Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy D Bilman, L Ling, PD Miller | 85 | 2020 |

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 | 73 | 2003 |

Annals of Mathematics Studies G Pólya, G Szegő Princeton University Press, 1940 | 65* | 1940 |

The *N*‐soliton of the focusing nonlinear Schrödinger equation for *N* largeGD Lyng, PD Miller Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007 | 57 | 2007 |

Large-degree asymptotics of rational Painlevé-II functions: noncritical behaviour RJ Buckingham, PD Miller Nonlinearity 27 (10), 2489, 2014 | 53 | 2014 |

Dispersive Asymptotics for Linear and Integrable Equations by the Steepest Descent Method M Dieng, KDTR McLaughlin, PD Miller Nonlinear dispersive partial differential equations and inverse scattering …, 2019 | 51 | 2019 |

Dispersive hydrodynamics: preface G Biondini, GA El, MA Hoefer, PD Miller Physica D: Nonlinear Phenomena 333, 1-5, 2016 | 45 | 2016 |