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Asymptotics of the Airy-Kernel Determinant

Communications in mathematical physics, 2008-03, Vol.278 (3), p.643-678

2008

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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

Communications on pure and applied mathematics, 1999-11, Vol.52 (11), p.1335-1425

1999

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A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation

Annals of mathematics, 1993-03, Vol.137 (2), p.295-368

1993

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On the Absolutely Continuous Spectrum¶of One-Dimensional Schrödinger Operators¶with Square Summable Potentials

Communications in mathematical physics, 1999-06, Vol.203 (2), p.341-347

1999

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New Results on the Equilibrium Measure for Logarithmic Potentials in the Presence of an External Field

Journal of approximation theory, 1998-12, Vol.95 (3), p.388-475

1998

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Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data

International mathematics research notices, 2011-01

2011

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Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space

Communications on pure and applied mathematics, 2003-08, Vol.56 (8), p.1029-1077

2003

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New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems

International Mathematics Research Notices, 1997, Vol.1997 (6), p.285-299

1997

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On the Distribution of the Length of the Longest Increasing Subsequence of Random Permutations

Journal of the American Mathematical Society, 1999-10, Vol.12 (4), p.1119-1178

1999

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Asymptotics for the painlevé II equation

Communications on pure and applied mathematics, 1995, Vol.48 (3), p.277-337

1995

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An Extension of the Steepest Descent Method for Riemann-Hilbert Problems: The Small Dispersion Limit of the Korteweg-de Vries (KdV) Equation

Proceedings of the National Academy of Sciences - PNAS, 1998-01, Vol.95 (2), p.450-454

1998

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The collisionless shock region for the long-time behavior of solutions of the KdV equation

Communications on pure and applied mathematics, 1994-02, Vol.47 (2), p.199-206

1994

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Asymptotics for a Determinant with a Confluent Hypergeometric Kernel

International mathematics research notices, 2011-01

2011

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Long-time asymptotics for integrable systems. Higher order theory

Communications in mathematical physics, 1994-10, Vol.165 (1), p.175-191

1994

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The Widom–Dyson constant for the gap probability in random matrix theory

Journal of computational and applied mathematics, 2007-05, Vol.202 (1), p.26-47

2007

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On the Algebro-Geometric Integration¶of the Schlesinger Equations

Communications in mathematical physics, 1999-06, Vol.203 (3), p.613-633

1999

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On the distribution of the length of the second row of a Young diagram under Plancherel measure

Geometric and functional analysis, 2000-01, Vol.10 (4), p.702-731

2000

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A Riemann–Hilbert approach to asymptotic questions for orthogonal polynomials

Journal of computational and applied mathematics, 2001-08, Vol.133 (1), p.47-63

2001

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A continuum limit of the Toda lattice

Memoirs of the American Mathematical Society, 1998, Vol.131 (624)

1998

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Products and ratios of characteristic polynomials of random Hermitian matrices

Journal of mathematical physics, 2003-08, Vol.44 (8), p.3657-3670

2003

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Universality for Orthogonal and Symplectic Laguerre-Type Ensembles

Journal of statistical physics, 2007-12, Vol.129 (5-6), p.949-1053

2007

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Inverse scattering on the line

Communications on pure and applied mathematics, 1979-03, Vol.32 (2), p.121-251

1979

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Perturbation theory for infinite-dimensional integrable systems on the line. A case study

Acta mathematica, 2002-01, Vol.188 (2), p.163-262

2002

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Matrix factorizations and integrable systems

Communications on pure and applied mathematics, 1989-06, Vol.42 (4), p.443-521

1989

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Applications of a commutation formula

Duke mathematical journal, 1978-01, Vol.45 (2)

Deift, P. A.

1978

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Asymptotics of the Airy-Kernel Determinant

Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation

On the Absolutely Continuous Spectrum¶of One-Dimensional Schrödinger Operators¶with Square Summable Potentials

New Results on the Equilibrium Measure for Logarithmic Potentials in the Presence of an External Field

Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data

Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space

New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems

On the Distribution of the Length of the Longest Increasing Subsequence of Random Permutations

Asymptotics for the painlevé II equation

An Extension of the Steepest Descent Method for Riemann-Hilbert Problems: The Small Dispersion Limit of the Korteweg-de Vries (KdV) Equation

The collisionless shock region for the long-time behavior of solutions of the KdV equation

Asymptotics for a Determinant with a Confluent Hypergeometric Kernel

Long-time asymptotics for integrable systems. Higher order theory

The Widom–Dyson constant for the gap probability in random matrix theory

On the Algebro-Geometric Integration¶of the Schlesinger Equations

On the distribution of the length of the second row of a Young diagram under Plancherel measure

A Riemann–Hilbert approach to asymptotic questions for orthogonal polynomials

A continuum limit of the Toda lattice

Products and ratios of characteristic polynomials of random Hermitian matrices

Universality for Orthogonal and Symplectic Laguerre-Type Ensembles

Inverse scattering on the line

Perturbation theory for infinite-dimensional integrable systems on the line. A case study

Matrix factorizations and integrable systems

Applications of a commutation formula

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