| Applied asymptotic analysis, volume 75 of Graduate Studies in Mathematics PD Miller American Mathematical Society, Providence, RI, 2006 | 489 | 2006 |
| Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154) S Kamvissis, KDTR McLaughlin, PD Miller Princeton University Press, 2003 | 255 | 2003 |
| Discrete Orthogonal Polynomials.(AM-164): Asymptotics and Applications (AM-164) J Baik, T Kriecherbauer, KDTR McLaughlin, PD Miller Princeton University Press, 2007 | 209 | 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 | 136 | 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 | 131 | 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 | 121 | 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 | 106 | 1995 |
| On the semiclassical limit of the focusing nonlinear Schrödinger equation PD Miller, S Kamvissis Physics Letters A 247 (1-2), 75-86, 1998 | 102 | 1998 |
| Exploiting discreteness for switching in waveguide arrays O Bang, PD Miller Optics letters 21 (15), 1105-1107, 1996 | 102 | 1996 |
| 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 | 100 | 2001 |
| Self-similar evolution of self-written waveguides TM Monro, PD Miller, L Poladian, C Martijn de Sterke Optics Letters 23 (4), 268-270, 1998 | 96 | 1998 |
| Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy D Bilman, L Ling, PD Miller | 95 | 2020 |
| 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 |
| 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 | 90 | 2000 |
| 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 | 84 | 2003 |
| The N‐soliton of the focusing nonlinear Schrödinger equation for N large GD Lyng, PD Miller Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007 | 61 | 2007 |
| 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 | 57 | 2019 |
| Large-degree asymptotics of rational Painlevé-II functions: noncritical behaviour RJ Buckingham, PD Miller Nonlinearity 27 (10), 2489, 2014 | 56 | 2014 |
| Graphical Krein Signature Theory and Evans--Krein Functions R Kollár, PD Miller siam REVIEW 56 (1), 73-123, 2014 | 49 | 2014 |
| Dispersive hydrodynamics: preface G Biondini, GA El, MA Hoefer, PD Miller Physica D: Nonlinear Phenomena 333, 1-5, 2016 | 44 | 2016 |
