Applied asymptotic analysis, volume 75 of Graduate Studies in Mathematics PD Miller American Mathematical Society, Providence, RI, 2006 | 375 | 2006 |

Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154) S Kamvissis, KDTR McLaughlin, PD Miller Princeton University Press, 2003 | 225 | 2003 |

Discrete Orthogonal Polynomials.(AM-164): Asymptotics and Applications (AM-164) J Baik, T Kriecherbauer, KDTR McLaughlin, PD Miller Princeton University Press, 2007 | 154 | 2007 |

Exploiting discreteness for switching in waveguide arrays O Bang, PD Miller Optics letters 21 (15), 1105-1107, 1996 | 98 | 1996 |

On the semiclassical limit of the focusing nonlinear Schrödinger equation PD Miller, S Kamvissis Physics Letters A 247 (1-2), 75-86, 1998 | 95 | 1998 |

Self-similar evolution of self-written waveguides TM Monro, PD Miller, L Poladian, CM de Sterke Optics letters 23 (4), 268-270, 1998 | 86 | 1998 |

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 | 85 | 1995 |

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 | 84 | 1993 |

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 | 80 | 2001 |

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 | 71 | 2003 |

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 | 70 | 2000 |

The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights KTR McLaughlin, PD Miller International Mathematics Research Notices 2008 (9), rnn075-rnn075, 2008 | 67 | 2008 |

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, 2006 | 67* | 2006 |

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 | 54 | 2007 |

Large-degree asymptotics of rational Painlevé-II functions: noncritical behaviour RJ Buckingham, PD Miller Nonlinearity 27 (10), 2489, 2014 | 44 | 2014 |

Graphical Krein Signature Theory and Evans--Krein Functions R Kollár, PD Miller siam REVIEW 56 (1), 73-123, 2014 | 39 | 2014 |

Macroscopic dynamics in quadratic nonlinear lattices PD Miller, O Bang Physical Review E 57 (5), 6038, 1998 | 37 | 1998 |

Macroscopic lattice dynamics MH Hays, CD Levermore, PD Miller Physica D: Nonlinear Phenomena 79 (1), 1-15, 1994 | 37 | 1994 |

On the stability analysis of periodic sine–Gordon traveling waves CKRT Jones, R Marangell, PD Miller, RG Plaza Physica D: Nonlinear Phenomena 251, 63-74, 2013 | 36 | 2013 |

Transfer matrices for multiport devices made from solitons PD Miller, NN Akhmediev Physical Review E 53 (4), 4098, 1996 | 36 | 1996 |