Percy Deift | Academic Influence

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Percy Deift

Mathematics

#728

World Rank

#1326

Historical Rank

#315

USA Rank

Measure Theory

#1222

World Rank

#1552

Historical Rank

#444

USA Rank

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Mathematics

Percy Deift's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics University of Chicago

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According to Wikipedia, Percy Alec Deift is a mathematician known for his work on spectral theory, integrable systems, random matrix theory and Riemann–Hilbert problems. Life Deift was born in Durban, South Africa, where he obtained degrees in chemical engineering, physics, and mathematics, and received a Ph.D. in mathematical physics from Princeton University in 1977. He is a Silver Professor at the Courant Institute of Mathematical Sciences, New York University.

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Percy Deift's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach (2000) (1390)
A steepest descent method for oscillatory Riemann–Hilbert problems. Asymptotics for the MKdV equation (1992) (1291)
On the distribution of the length of the longest increasing subsequence of random permutations (1998) (1155)
Inverse scattering on the line (1979) (821)
UNIFORM ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL WITH RESPECT TO VARYING EXPONENTIAL WEIGHTS AND APPLICATIONS TO UNIVERSALITY QUESTIONS IN RANDOM MATRIX THEORY (1999) (776)
Strong asymptotics of orthogonal polynomials with respect to exponential weights (1999) (577)
Direct and inverse scattering on the line (1988) (296)
Applications of a commutation formula (1978) (285)
A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics (1997) (281)
New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems (1997) (243)
Asymptotics for the painlevé II equation (1995) (223)
New Results on the Equilibrium Measure for Logarithmic Potentials in the Presence of an External Field (1998) (213)
Random Matrix Theory: Invariant Ensembles and Universality (2009) (204)
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities (2009) (193)
On the Absolutely Continuous Spectrum¶of One-Dimensional Schrödinger Operators¶with Square Summable Potentials (1999) (191)
The collisionless shock region for the long-time behavior of solutions of the KdV equation (1994) (188)
Integrable Hamiltonian systems (1996) (181)
Long-Time Asymptotics for Integrable Nonlinear Wave Equations (1993) (181)
Ordinary differential equations and the symmetric eigenvalue problem (1983) (179)
Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space (2002) (178)
Inverse scattering and the boussinesq equation (1982) (170)
Almost periodic Schrödinger operators (1983) (159)
Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results (2012) (159)
The Toda flow on a generic orbit is integrable (1984) (150)
Review: Shmuel Agmon, Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of $N$-body Schrödinger operators (1985) (148)
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices (2005) (145)
Universality for mathematical and physical systems (2006) (132)
A continuum limit of the Toda lattice (1998) (126)
On the distribution of the length of the second row of a Young diagram under Plancherel measure (1999) (114)
Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory (2001) (113)
Products and ratios of characteristic polynomials of random Hermitian matrices (2003) (111)
Pointwise bounds on eigenfunctions and wave packets inN-body quantum systems IV (1978) (106)
The Absolutely Continuous Spectrum in One Dimension (1983) (100)
Asymptotics of the Airy-Kernel Determinant (2006) (99)
Eigenvalue branches of the Schrödinger operatorH−λW in a gap of σ(H) (1989) (96)
Matrix factorizations and integrable systems (1989) (96)
Long-time behavior of the non-focusing nonlinear Schrödinger equation : a case study (1994) (95)
Integrable systems and combinatorial theory (2000) (95)
On the existence of eigenvalues of the Schrödinger operatorH−λW in a gap of σ(H) (1986) (94)
Optimal tail estimates for directed last passage site percolation with geometric random variables (2001) (89)
The toda rarefaction problem (1996) (88)
Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data (2011) (79)
Universality in Random Matrix Theory for orthogonal and symplectic ensembles (2004) (77)
Asymptotics for polynomials orthogonal with respect to varying exponential weights (1997) (75)
The Widom-Dyson constant for the gap probability in random matrix theory (2006) (73)
On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems (1976) (70)
Nonlinear wave equations and constrained harmonic motion (1980) (70)
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday (2007) (66)
Combinatorics and Random Matrix Theory (2016) (64)
Toda flows with infinitely many variables (1985) (63)
A model for the bus system in Cuernavaca (Mexico) (2005) (62)
Io's interaction with the magnetosphere (1973) (62)
Some open problems in random matrix theory and the theory of integrable systems (2007) (61)
Long-time asymptotics for integrable systems. Higher order theory (1994) (60)
Perturbation theory for infinite-dimensional integrable systems on the line. A case study (2002) (57)
The toda shock problem (1991) (54)
An optimal family of exponentially accurate one‐bit Sigma‐Delta quantization schemes (2010) (51)
On the asymptotics of a Toeplitz determinant with singularities (2012) (50)
An extension of the steepest descent method for Riemann-Hilbert problems: the small dispersion limit of the Korteweg-de Vries (KdV) equation. (1998) (48)
Direct and inverse scattering on the line with arbitrary singularities (1991) (47)
On the existence of eigenvalues of a divergence-form operator A+λB in a gap of σ(A) (1994) (44)
A time-dependent approach to the completeness of multiparticle quantum systems (1977) (42)
A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux (2000) (42)
Asymptotics for a Determinant with a Confluent Hypergeometric Kernel (2010) (40)
Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions (1993) (39)
On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I (2014) (38)
A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials (2001) (38)
Some remarks on the shape-from-shading problem in computer vision☆ (1981) (37)
Generalized affine lie algebras and the solution of a class of flows associated with the QR eigenvalue algorithm (1989) (31)
Universality in numerical computations with random data (2014) (31)
Eigenvalues of Toeplitz matrices in the bulk of the spectrum (2011) (28)
A priori $L^p$ estimates for solutions of Riemann-Hilbert Problems (2002) (25)
Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II (2017) (25)
Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows (1991) (24)
Riemann-Hilbert Methods in the Theory of Orthogonal Polynomials (2006) (23)
The Inverse Scattering Transform on the Line (1993) (22)
On the determination of a tridiagonal matrix from its spectrum and a submatrix (1984) (21)
Forced lattice vibrations: Part II (1995) (21)
How long does it take to compute the eigenvalues of a random, symmetric matrix? (2012) (20)
Dynamical systems and probabilistic methods in partial differential equations (1996) (19)
Universality for Eigenvalue Algorithms on Sample Covariance Matrices (2017) (17)
Long-Time Asymptotics for the Autocorrelation Function of the Transverse Ising Chain at the Critical Magnetic Field (1994) (17)
Riemann-Hilbert problems (2019) (17)
Universality for the Toda Algorithm to Compute the Largest Eigenvalue of a Random Matrix (2016) (16)
On the condition number of the critically-scaled Laguerre Unitary Ensemble (2015) (16)
Inverse problem for a stratified ocean and bottom (1981) (16)
Random matrix theory, interacting particle systems, and integrable systems (2014) (15)
Uniform asymptotics for orthogonal polynomials (1998) (15)
A monotonicity property for Toda-type flows (1991) (14)
On the determinant of the adjacency matrix for a planar sublattice (1983) (14)
Improved Gap Estimates for Simulating Quantum Circuits by Adiabatic Evolution (2006) (14)
The propagation of Alfven waves along Io's flux tube (1973) (13)
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials (2005) (13)
Direct and Inverse Problems: Potentials in Quantum Scattering. (Boris Zakhariev and Allina Suzko; G. Pontecorvo, trans.) (1992) (12)
New results for the asymptotics of orthogonal polynomials and related problems via the Lax-Levermore method: Announcement (1998) (12)
Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data: Announcement of Results (2010) (11)
The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deteriministic (2019) (10)
Nonlinear wave equations and constrained harmonic motion. (1980) (9)
Universality for the Toda algorithm to compute the eigenvalues of a random matrix (2016) (9)
An identity among squares of eigenfunctions (1981) (9)
Classical Scattering Theory with a Trace Condition. (1976) (9)
Symplectic Aspects of Some Eigenvalue Algorithms (1993) (8)
The sine process under the influence of a varying potential (2018) (7)
A request: The Painlevé Project (2010) (7)
Random matrix theory (2000) (7)
Near integrable systems on the line: A case study-pertubation theory of the defocusing nonlinear Schrödinger equation (1997) (7)
The inverse problem (1988) (6)
Inverse scattering for self-adjoint nth order differential operators on the line (1987) (6)
Forced Lattice Vibrations -- A Videotext (1994) (5)
Four Lectures on Random Matrix Theory (2003) (5)
Integrable systems and random matrices : in honor of Percy Deift : conference on integrable systems, random matrices, and applications in honor of Percy Deift's 60th birthday (2008) (5)
Universality in numerical computation with random data. Case studies, analytic results and some speculations (2016) (5)
On the Proof of Universality for Orthogonal and Symplectic Ensembles in Random Matrix Theory (2006) (5)
Fifty Years of KdV: An Integrable System (2019) (4)
Novel schemes for sigma-delta modulation: from improved exponential accuracy to low-complexity design (2009) (4)
Universality in numerical computation with random data: Case studies and analytical results (2019) (4)
Three Lectures on “Fifty Years of KdV: An Integrable System” (2019) (4)
Toeplitz and Hankel determinants with singularities: announcement of results (2008) (4)
Continuous versions of some discrete maps or what goes on when the lights go out (1992) (3)
A Continuum Limit of Matrix Inverse Problems (1981) (3)
Painlevé Project on the web (2010) (3)
On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I (2015) (3)
Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight (2017) (3)
Asymptotics for the Painleve II equation: Announcements of results (1994) (2)
Stopping time signatures for some algorithms in cryptography (2019) (2)
Scattering on the line — an overview (1988) (2)
Inverse Scattering on the Line—an Overview (1992) (1)
Asymptotics for oscillatory Riemann-Hilbert problems (1999) (1)
Harold Widom’s work in random matrix theory (2022) (1)
Dynamical systems and probabilistic methods in partial differential equations : 1994 Summer Seminar on Dynamical Systems and Probabilistic Methods for Nonlinear Waves, June 20-July 1, 1994, MSRI, Berkeley, CA (1996) (1)
ESTIMATES FOR SOLUTIONS OF RIEMANN – HILBERT PROBLEMS (2008) (1)
N ov 2 00 1 FREDHOLM DETERMINANTS , JIMBO-MIWA-UENO TAU-FUNCTIONS , AND REPRESENTATION THEORY (2001) (1)
Dynamical Aspects of the Bidiagonal Singular Value Decomposition (1991) (1)
On the open Toda chain with external forcing (2020) (1)
The billiard on an ellipsoid as an integrable system (1992) (0)
Eigenvalues of Toeplitz matrices (2011) (0)
Steepest-descent method for the asymptotic evaluation of integrals in the complex plane (2016) (0)
Widom’s formulae for the =1 and 4 correlation kernels (2009) (0)
Orthogonal polynomials, Riemann-Hilbert problems, and Toeplitz matrices (2016) (0)
Orthogonal Polynomials; Interdisciplinary Aspects (0)
The forward problem (1988) (0)
Fredholm determinant formula (2016) (0)
Large eigenvalue statistics for the =1,4 ensembles with monomial potentials: universality (2009) (0)
Three classes of invariant ensembles (2009) (0)
Eigenvalue statistics for the three types of ensembles (2009) (0)
Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I. Communications in Mathematical Physics, 337, 1397-1463. https://doi.org/10.1007/s00220-015-2357-1 (2015) (0)
Introduction and examples (2009) (0)
ON THE ASYMPTOTIC BEHAVIOR OF A LOG GAS IN THE BULK SCALING IN THE PRESENCE A VARYING EXTERNAL POTENTIAL (2015) (0)
Basic results of stochastic calculus (2016) (0)
Summer Seminar on Dynamical Systems and Probabilistic Methods for Nonlinear Waves Held in Berkely, California on 20 June-1 July 1994. Volume 31. (1994) (0)
Poissonization and de-Poissonization (2016) (0)
Auxiliary facts from functional analysis, Pfaffians, and three integral identities (2009) (0)
Random matrix theory IV (analytical methods) (2005) (0)
Asymptotics for orthogonal polynomials (2000) (0)
dispersion limit of the Korteweg-de Vries (KdV) equation An extension of the steepest descent method for Riemann-Hilbert problems: The small (2007) (0)
Determinantal point processes (2016) (0)
Random matrix theory: invariant ensembles and universality, by Percy Deift (2010) (0)
Theory of trace class operators and Fredholm determinants (2016) (0)
The Dyson process and Brownian Dyson process (2016) (0)
N A ] 1 6 Ju l 2 01 4 Universality in Numerical Computations with Random Data . Case Studies (2014) (0)
Toeplitz determinant formula (2016) (0)
Special issue on Painleve equations, part 1 (2014) (0)
The inverse scattering transforms on the line (1993) (0)
Schur measure and directed last passage percolation (2016) (0)
Bounds of the expected value of ℓ_ (2016) (0)
Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data: Announcement of Results To Vladimir Matveev, on his 65th birthday Early pioneer, leader in integrable systems (2011) (0)
Permutations and Young tableaux (2016) (0)
Tiling of the Aztec diamond (2016) (0)

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