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Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II

Symmetry, integrability and geometry, methods and applications, 2017-03, Vol.13

Deift, Percy

2017

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Universality in numerical computations with random data

Proceedings of the National Academy of Sciences - PNAS, 2014-10, Vol.111 (42), p.14973-14978

2014

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From gap probabilities in random matrix theory to eigenvalue expansions Dedicated to Percy Deift and Craig Tracy on the occasion of their 70th birthdays

Journal of physics. A, Mathematical and theoretical, 2016-01, Vol.49 (7)

Bothner, Thomas

2016

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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 of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

Annals of mathematics, 2011-09, Vol.174 (2), p.1243-1299

2011

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Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results

Communications on pure and applied mathematics, 2013-09, Vol.66 (9), p.1360-1438

2013

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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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Recurrence Coefficients for Orthogonal Polynomials with a Logarithmic Weight Function

Symmetry, integrability and geometry, methods and applications, 2024-01

2024

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UNIVERSALITY FOR EIGENVALUE ALGORITHMS ON SAMPLE COVARIANCE MATRICES

SIAM journal on numerical analysis, 2017-01, Vol.55 (6), p.2835-2862

2017

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The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic

Quarterly of applied mathematics, 2021-03, Vol.79 (1), p.125-161

2021

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Universality for the Toda Algorithm to Compute the Largest Eigenvalue of a Random Matrix

Communications on pure and applied mathematics, 2018-03, Vol.71 (3), p.505-536

2018

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On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I

Communications in mathematical physics, 2015-08, Vol.337 (3), p.1397-1463

2015

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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 at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices

Communications on pure and applied mathematics, 2007-06, Vol.60 (6), p.867-910

2007

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A Riemann-Hilbert Approach to Asymptotic Problems Arising in the Theory of Random Matrix Models, and also in the Theory of Integrable Statistical Mechanics

Annals of mathematics, 1997-07, Vol.146 (1), p.149-235

1997

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An optimal family of exponentially accurate one-bit Sigma-Delta quantization schemes

Communications on pure and applied mathematics, 2011-07, Vol.64 (7), p.883-919

2011

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Asymptotics for a Determinant with a Confluent Hypergeometric Kernel

International mathematics research notices, 2011-01

2011

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Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight

Symmetry, integrability and geometry, methods and applications, 2018-06, Vol.14

2018

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Fredholm determinants, Jimbo-Miwa-Ueno τ-functions, and representation theory

Communications on pure and applied mathematics, 2002-09, Vol.55 (9), p.1160-1230

2002

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A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux

Communications in mathematical physics, 2001-11, Vol.223 (3), p.627-672

2001

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Universality in Random Matrix Theory for orthogonal and symplectic ensembles

International mathematics research papers, 2007-01, Vol.2007

2007

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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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A Riemann–Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials

Journal of approximation theory, 2006-03, Vol.139 (1), p.144-171

2006

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From Mathematical Physics to Analysis: A Walk in Barry Simon's Mathematical Garden

Notices of the American Mathematical Society, 2016-08, Vol.63 (7), p.740-752

2016

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Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II

Universality in numerical computations with random data

From gap probabilities in random matrix theory to eigenvalue expansions Dedicated to Percy Deift and Craig Tracy on the occasion of their 70th birthdays

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

Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results

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

Recurrence Coefficients for Orthogonal Polynomials with a Logarithmic Weight Function

UNIVERSALITY FOR EIGENVALUE ALGORITHMS ON SAMPLE COVARIANCE MATRICES

The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic

Universality for the Toda Algorithm to Compute the Largest Eigenvalue of a Random Matrix

On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I

Products and ratios of characteristic polynomials of random Hermitian matrices

Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices

A Riemann-Hilbert Approach to Asymptotic Problems Arising in the Theory of Random Matrix Models, and also in the Theory of Integrable Statistical Mechanics

An optimal family of exponentially accurate one-bit Sigma-Delta quantization schemes

Asymptotics for a Determinant with a Confluent Hypergeometric Kernel

Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight

Fredholm determinants, Jimbo-Miwa-Ueno τ-functions, and representation theory

A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux

Universality in Random Matrix Theory for orthogonal and symplectic ensembles

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

A Riemann–Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials

From Mathematical Physics to Analysis: A Walk in Barry Simon's Mathematical Garden

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