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Author ID: deift.percy-a Recent zbMATH articles by "Deift, Percy A."
Published as: Deift, Percy; Deift, P.; Deift, P. A.; Deift, Percy A.
Homepage: https://math.nyu.edu/people/profiles/DEIFT_Percy.html
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Serials

22 Communications on Pure and Applied Mathematics
11 Communications in Mathematical Physics
5 IMRN. International Mathematics Research Notices
3 Journal of Mathematical Physics
3 SIAM Journal on Numerical Analysis
3 Proceedings of the National Academy of Sciences of the United States of America
3 Bulletin of the American Mathematical Society. New Series
3 Annals of Mathematics. Second Series
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Statistical Physics
2 Journal of Approximation Theory
2 Journal of Computational and Applied Mathematics
2 Journal of Functional Analysis
2 Memoirs of the American Mathematical Society
2 Constructive Approximation
2 Geometric and Functional Analysis. GAFA
2 Notices of the American Mathematical Society
2 Proceedings of Symposia in Pure Mathematics
2 Courant Lecture Notes in Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Acta Mathematica
1 Duke Mathematical Journal
1 Journal of Combinatorial Theory. Series B
1 Quarterly of Applied Mathematics
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Physics A: Mathematical and General
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Mathematical Research Letters
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 Matemática Contemporânea
1 Advances in Theoretical and Mathematical Physics
1 Quantum Information Processing
1 IMRP. International Mathematics Research Papers
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Graduate Studies in Mathematics
1 Lectures in Applied Mathematics
1 Mathematical Sciences Research Institute Publications
1 Mathematical Surveys and Monographs
1 Pure and Applied Functional Analysis

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 5,329 times in 2,992 Documents Cited by Year
A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Zbl 0771.35042
Deift, P.; Zhou, X.
571
1993
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033
Deift, Percy
419
2000
On the distribution of the length of the longest increasing subsequence of random permutations. Zbl 0932.05001
Baik, Jinho; Deift, Percy; Johansson, Kurt
400
1999
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Zbl 0944.42013
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
329
1999
Inverse scattering on the line. Zbl 0388.34005
Deift, P.; Trubowitz, E.
309
1979
Strong asymptotics of orthogonal polynomials with respect to exponential weights. Zbl 1026.42024
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
270
1999
A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics. Zbl 0936.47028
Deift, Percy A.; Its, Alexander R.; Zhou, Xin
118
1997
Applications of a commutation formula. Zbl 0392.47013
Deift, P. A.
111
1978
New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems. Zbl 0873.65111
Deift, P.; Vanakides, S.; Zhou, X.
96
1997
Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space. Zbl 1038.35113
Deift, Percy; Zhou, Xin
93
2003
New results on the equilibrium measure for logarithmic potentials in the presence of an external field. Zbl 0918.31001
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.
89
1998
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
87
1993
Asymptotics for the Painlevé II equation. Zbl 0869.34047
Deift, P. A.; Zhou, X.
86
1995
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
85
2011
The collisionless shock region for the long-time behavior of solutions of the KdV equation. Zbl 0797.35143
Deift, P.; Venakides, S.; Zhou, X.
82
1994
Direct and inverse scattering on the line. Zbl 0679.34018
Beals, Richard; Deift, Percy; Tomei, Carlos
79
1988
Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032
Deift, P.; Nanda, T.; Tomei, C.
77
1983
Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model: some history and some recent results. Zbl 1292.47016
Deift, Percy; Its, Alexander; Krasovsky, Igor
77
2013
Inverse scattering and the Boussinesq equation. Zbl 0479.35074
Deift, P.; Tomei, C.; Trubowitz, E.
76
1982
Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023
Deift, Percy; Gioev, Dimitri
73
2009
Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026
Deift, P.; Simon, B.
70
1983
The Toda flow on a generic orbit is integrable. Zbl 0606.58020
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C.
69
1986
A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031
Deift, P.; Zhou, X.
62
1992
Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H). Zbl 0676.47032
Alama, Stanley; Deift, Percy A.; Hempel, Rainer
59
1989
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022
Deift, Percy; Gioev, Dimitri
56
2007
On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H). Zbl 0594.34022
Deift, Percy A.; Hempel, Rainer
51
1986
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
50
2008
Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014
Baik, Jinho; Deift, Percy; Strahov, Eugene
49
2003
Matrix factorizations and integrable systems. Zbl 0689.70006
Deift, P.; Li, L. C.; Tomei, C.
48
1989
Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089
Borodin, Alexei; Deift, Percy
48
2002
Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data. Zbl 1251.35145
Deift, Percy; Park, Jungwoon
46
2011
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
45
1998
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
41
1988
Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV. Zbl 0419.35079
Deift, P.; Hunziker, W.; Simon, B.; Vock, E.
40
1978
On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems. Zbl 0344.47007
Deift, P.; Simon, B.
39
1976
Integrable operators. Zbl 0920.35105
Deift, Percy
39
1999
Optimal tail estimates for directed last passage site percolation with geometric random variables. Zbl 1016.15022
Baik, Jinho; Deift, Percy; McLaughlin, Kenneth T.-R.; Miller, Peter; Zhou, Xin
38
2001
Combinatorics and random matrix theory. Zbl 1342.05001
Baik, Jinho; Deift, Percy; Suidan, Toufic
36
2016
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
34
2007
Universality for mathematical and physical systems. Zbl 1149.82012
Deift, Percy
33
2007
Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089
Deift, Percy; Zhou, Xin
32
2002
Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
30
2007
Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122
Deift, P. A.; Zhou, X.
30
1994
An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation. Zbl 0894.35097
Deift, P.; Venakides, S.; Zhou, X.
29
1998
The Toda rarefaction problem. Zbl 0857.34025
Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin
28
1996
The Toda shock problem. Zbl 0749.35054
Venakides, Stephanos; Deift, Percy; Oba, Roger
28
1991
Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305
Deift, Percy
28
2008
Toda flows with infinitely many variables. Zbl 0615.58016
Deift, P.; Li, L. C.; Tomei, C.
26
1985
Nonlinear wave equations and constrained harmonic motion. Zbl 0435.35072
Deift, P.; Lund, F.; Trubowitz, E.
26
1980
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
26
2014
Integrable systems and combinatorial theory. Zbl 1041.05004
Deift, Percy
25
2000
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
23
2015
A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438
Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic
22
2006
Asymptotics for polynomials orthogonal with respect to varying exponential weights. Zbl 0897.42015
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
22
1997
A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. Zbl 1041.42018
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
21
2001
A time-dependent approach to the completeness of multiparticle quantum systems. Zbl 0354.47004
Deift, P.; Simon, B.
21
1977
Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013
Deift, Percy; Krasovsky, Igor; Vasilevska, Julia
21
2011
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
19
1999
An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035
Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan
19
2011
Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160
Deift, Percy
19
2017
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
18
2012
On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004
Deift, P.; Nanda, T.
16
1984
On the distribution of the length of the second row of a Young diagram under Plancherel measure. Zbl 0963.05133
Baik, J.; Deift, P.; Johansson, K.
16
2000
The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035
Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos
15
1991
Universality in numerical computations with random data. Zbl 1355.65019
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas
15
2014
A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084
Deift, Percy; Zhou, Xin
15
2002
Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014
Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M.
14
2007
Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073
Deift, Percy; Zhou, Xin
13
1991
On the existence of eigenvalues of a divergence-form operator \(A+\lambda B\) in a gap of \(\sigma(A)\). Zbl 0806.47042
Alama, S.; Avellaneda, M.; Deift, P. A.; Hempel, R.
13
1994
How long does it take to compute the eigenvalues of a random symmetric matrix? Zbl 1326.65050
Pfrang, Christian W.; Deift, Percy; Menon, Govind
12
2014
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012
Deift, Percy; Trogdon, Thomas
11
2018
Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field. Zbl 0849.35115
Deift, P.; Zhou, X.
10
1994
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
10
2001
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
10
1993
Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081
Deift, Percy; Sylvester, John
9
1981
Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows. Zbl 0755.58050
Deift, Percy; Li, Luen-Chau
9
1991
Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data: announcement of results. Zbl 1216.35135
Deift, Percy; Park, Jungwoon
9
2011
On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008
Menon, Govind; Trogdon, Thomas; Deift, Percy A.
9
2016
Generalized affine Lie algebras and the solution of a class of flows associated with the QR eigenvalue algorithm. Zbl 0820.58030
Deift, P. A.; Li, L. C.
8
1989
Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089
Deift, Percy; Trogdon, Thomas
8
2017
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. Zbl 1382.82014
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
8
2017
Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions. Zbl 0770.34005
Deift, Percy; Li, Luen-Chau; Tomei, Carlos
7
1992
Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325
Deift, Percy
6
2007
Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015
5
2007
Forced lattice vibrations. I. Zbl 0860.34004
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
5
1995
Forced lattice vibrations. II. Zbl 0860.34005
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
5
1995
Addendum to “On the distribution of the length of the second row of a Young diagram under Plancherel measure”. Zbl 0971.05110
Baik, J.; Deift, P.; Johansson, K.
5
2000
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
5
2018
Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024
Deift, Percy; Ruskai, Mary Beth; Spitzer, Wolfgang
4
2007
On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045
Deift, P. A.; Tomei, C.
4
1983
Near integrable systems on the line. A case study – perturbation theory of the defocusing nonlinear Schrödinger equation. Zbl 0890.35138
Deift, Percy; Zhou, X.
4
1997
Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043
Deift, P.; Li, L.-C.; Tomei, C.
4
1993
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. Zbl 1099.30027
Deift, Percy; Östensson, Jörgen
4
2006
Random matrix theory, interacting particle systems and integrable systems. Zbl 1318.81009
4
2014
The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic. Zbl 1458.65028
Deift, Percy; Trogdon, Thomas
4
2021
Riemann-Hilbert problems. Zbl 1443.34097
Deift, Percy
4
2019
Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027
Conway, Thomas Oliver; Deift, Percy
4
2018
An identity among squares of eigenfunctions. Zbl 0479.34010
Deift, P.; Trubowitz, E.
3
1981
Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
3
1998
A monotonicity property for Toda-type flows. Zbl 0736.34074
Deift, P. A.; Rivera, S.; Tomei, C.; Watkins, D. S.
3
1991
On the open Toda chain with external forcing. Zbl 1507.37075
Deift, Percy; Li, Luen-Chau; Spohn, Herbert; Tomei, Carlos; Trogdon, Thomas
1
2022
Harold Widom’s work in random matrix theory. Zbl 1486.60011
Corwin, Ivan Z.; Deift, Percy A.; Its, Alexander R.
1
2022
The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic. Zbl 1458.65028
Deift, Percy; Trogdon, Thomas
4
2021
Riemann-Hilbert problems. Zbl 1443.34097
Deift, Percy
4
2019
Three lectures on “Fifty years of KdV: an integrable system”. Zbl 1461.37070
Deift, Percy A.
3
2019
Universality in numerical computation with random data: case studies and analytical results. Zbl 1427.60006
Deift, Percy; Trogdon, Thomas
1
2019
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012
Deift, Percy; Trogdon, Thomas
11
2018
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
5
2018
Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027
Conway, Thomas Oliver; Deift, Percy
4
2018
Universality in numerical computation with random data: case studies, analytical results and some speculations. Zbl 07040540
Deift, Percy; Trogdon, Thomas
3
2018
Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160
Deift, Percy
19
2017
Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089
Deift, Percy; Trogdon, Thomas
8
2017
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. Zbl 1382.82014
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
8
2017
Combinatorics and random matrix theory. Zbl 1342.05001
Baik, Jinho; Deift, Percy; Suidan, Toufic
36
2016
On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008
Menon, Govind; Trogdon, Thomas; Deift, Percy A.
9
2016
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
23
2015
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
26
2014
Universality in numerical computations with random data. Zbl 1355.65019
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas
15
2014
How long does it take to compute the eigenvalues of a random symmetric matrix? Zbl 1326.65050
Pfrang, Christian W.; Deift, Percy; Menon, Govind
12
2014
Random matrix theory, interacting particle systems and integrable systems. Zbl 1318.81009
4
2014
Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model: some history and some recent results. Zbl 1292.47016
Deift, Percy; Its, Alexander; Krasovsky, Igor
77
2013
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
18
2012
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
85
2011
Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data. Zbl 1251.35145
Deift, Percy; Park, Jungwoon
46
2011
Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013
Deift, Percy; Krasovsky, Igor; Vasilevska, Julia
21
2011
An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035
Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan
19
2011
Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data: announcement of results. Zbl 1216.35135
Deift, Percy; Park, Jungwoon
9
2011
Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023
Deift, Percy; Gioev, Dimitri
73
2009
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
50
2008
Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305
Deift, Percy
28
2008
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022
Deift, Percy; Gioev, Dimitri
56
2007
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
34
2007
Universality for mathematical and physical systems. Zbl 1149.82012
Deift, Percy
33
2007
Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
30
2007
Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014
Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M.
14
2007
Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325
Deift, Percy
6
2007
Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015
5
2007
Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024
Deift, Percy; Ruskai, Mary Beth; Spitzer, Wolfgang
4
2007
On the proof of universality for orthogonal and symplectic ensembles in random matrix theory. Zbl 1139.15013
Costin, Ovidiu; Deift, Percy; Gioev, Dimitri
1
2007
A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438
Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic
22
2006
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. Zbl 1099.30027
Deift, Percy; Östensson, Jörgen
4
2006
Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space. Zbl 1038.35113
Deift, Percy; Zhou, Xin
93
2003
Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014
Baik, Jinho; Deift, Percy; Strahov, Eugene
49
2003
Four lectures on random matrix theory. Zbl 1035.82020
Deift, Percy
1
2003
Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089
Borodin, Alexei; Deift, Percy
48
2002
Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089
Deift, Percy; Zhou, Xin
32
2002
A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084
Deift, Percy; Zhou, Xin
15
2002
Optimal tail estimates for directed last passage site percolation with geometric random variables. Zbl 1016.15022
Baik, Jinho; Deift, Percy; McLaughlin, Kenneth T.-R.; Miller, Peter; Zhou, Xin
38
2001
A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. Zbl 1041.42018
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
21
2001
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
10
2001
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033
Deift, Percy
419
2000
Integrable systems and combinatorial theory. Zbl 1041.05004
Deift, Percy
25
2000
On the distribution of the length of the second row of a Young diagram under Plancherel measure. Zbl 0963.05133
Baik, J.; Deift, P.; Johansson, K.
16
2000
Addendum to “On the distribution of the length of the second row of a Young diagram under Plancherel measure”. Zbl 0971.05110
Baik, J.; Deift, P.; Johansson, K.
5
2000
On the distribution of the length of the longest increasing subsequence of random permutations. Zbl 0932.05001
Baik, Jinho; Deift, Percy; Johansson, Kurt
400
1999
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Zbl 0944.42013
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
329
1999
Strong asymptotics of orthogonal polynomials with respect to exponential weights. Zbl 1026.42024
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
270
1999
Integrable operators. Zbl 0920.35105
Deift, Percy
39
1999
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
19
1999
New results on the equilibrium measure for logarithmic potentials in the presence of an external field. Zbl 0918.31001
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.
89
1998
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
45
1998
An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation. Zbl 0894.35097
Deift, P.; Venakides, S.; Zhou, X.
29
1998
Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
3
1998
New results for the asymptotics of orthogonal polynomials and related problems via the Lax-Levermore method. Zbl 0891.31001
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.
1
1998
A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics. Zbl 0936.47028
Deift, Percy A.; Its, Alexander R.; Zhou, Xin
118
1997
New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems. Zbl 0873.65111
Deift, P.; Vanakides, S.; Zhou, X.
96
1997
Asymptotics for polynomials orthogonal with respect to varying exponential weights. Zbl 0897.42015
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
22
1997
Near integrable systems on the line. A case study – perturbation theory of the defocusing nonlinear Schrödinger equation. Zbl 0890.35138
Deift, Percy; Zhou, X.
4
1997
The Toda rarefaction problem. Zbl 0857.34025
Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin
28
1996
Integrable Hamiltonian systems. Zbl 0847.58042
Deift, Percy
2
1996
Forced lattice vibrations. Zbl 0941.70513
Deift, P.; Kriecherbauer, Thomas; Venakides, Stephanos
1
1996
Asymptotics for the Painlevé II equation. Zbl 0869.34047
Deift, P. A.; Zhou, X.
86
1995
Forced lattice vibrations. I. Zbl 0860.34004
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
5
1995
Forced lattice vibrations. II. Zbl 0860.34005
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
5
1995
The collisionless shock region for the long-time behavior of solutions of the KdV equation. Zbl 0797.35143
Deift, P.; Venakides, S.; Zhou, X.
82
1994
Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122
Deift, P. A.; Zhou, X.
30
1994
On the existence of eigenvalues of a divergence-form operator \(A+\lambda B\) in a gap of \(\sigma(A)\). Zbl 0806.47042
Alama, S.; Avellaneda, M.; Deift, P. A.; Hempel, R.
13
1994
Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field. Zbl 0849.35115
Deift, P.; Zhou, X.
10
1994
Asymptotics for the Painlevé II equation: Announcement of result. Zbl 0816.34035
Deift, P. A.; Zhou, X.
2
1994
A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Zbl 0771.35042
Deift, P.; Zhou, X.
571
1993
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
87
1993
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
10
1993
Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043
Deift, P.; Li, L.-C.; Tomei, C.
4
1993
A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031
Deift, P.; Zhou, X.
62
1992
Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions. Zbl 0770.34005
Deift, Percy; Li, Luen-Chau; Tomei, Carlos
7
1992
Inverse scattering on the line – an overview. Zbl 0813.34016
Deift, Percy
1
1992
Continuous versions of some discrete maps or what goes on when the lights go out. Zbl 0809.58020
Deift, Percy
1
1992
The Toda shock problem. Zbl 0749.35054
Venakides, Stephanos; Deift, Percy; Oba, Roger
28
1991
The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035
Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos
15
1991
Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073
Deift, Percy; Zhou, Xin
13
1991
Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows. Zbl 0755.58050
Deift, Percy; Li, Luen-Chau
9
1991
A monotonicity property for Toda-type flows. Zbl 0736.34074
Deift, P. A.; Rivera, S.; Tomei, C.; Watkins, D. S.
3
1991
Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H). Zbl 0676.47032
Alama, Stanley; Deift, Percy A.; Hempel, Rainer
59
1989
Matrix factorizations and integrable systems. Zbl 0689.70006
Deift, P.; Li, L. C.; Tomei, C.
48
1989
Generalized affine Lie algebras and the solution of a class of flows associated with the QR eigenvalue algorithm. Zbl 0820.58030
Deift, P. A.; Li, L. C.
8
1989
Direct and inverse scattering on the line. Zbl 0679.34018
Beals, Richard; Deift, Percy; Tomei, Carlos
79
1988
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
41
1988
The Toda flow on a generic orbit is integrable. Zbl 0606.58020
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C.
69
1986
On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H). Zbl 0594.34022
Deift, Percy A.; Hempel, Rainer
51
1986
Toda flows with infinitely many variables. Zbl 0615.58016
Deift, P.; Li, L. C.; Tomei, C.
26
1985
...and 16 more Documents
all top 5

Cited by 2,554 Authors

54 Kuijlaars, Arno B. J.
43 Fan, Engui
41 Deift, Percy A.
40 Simon, Barry
39 Its, Alexander Rudolfovich
36 Gesztesy, Fritz
35 Bertola, Marco
33 Geng, Xianguo
29 Lenells, Jonatan
27 Xu, Shuaixia
26 Aktosun, Tuncay
26 Claeys, Tom
24 Erdős, László
24 Forrester, Peter J.
24 Lubinsky, Doron S.
23 Borodin, Alexei
23 Charlier, Christophe
23 Teschl, Gerald
22 Shepelsky, Dmitry
22 Wong, Roderick Sue-Chuen
21 Trogdon, Thomas
21 Zhao, Yuqiu
20 Grava, Tamara
20 McLaughlin, Kenneth D. T.-R.
20 Yurko, Vjacheslav Anatoljevich
19 Baik, Jinho
19 Dai, Dan
19 Sakhnovich, Alexander L.
18 Aptekarev, Alexander Ivanovich
18 Biondini, Gino
18 Guo, Boling
18 Tovbis, Alexander
18 Van der Mee, Cornelis Victor Maria
18 Zhang, Lun
17 Bleher, Pavel M.
17 Boutet de Monvel, Anne Marie
17 Klaus, Martin
17 Li, Luen-Chau
17 Liu, Nan
17 Yau, Horng-Tzer
16 Corwin, Ivan Z.
15 Bothner, Thomas
15 Martínez-Finkelshtein, Andrei
15 Miller, Peter D.
15 Olver, Sheehan Shakiban
15 Seppäläinen, Timo
15 Yattselev, Maxim L.
14 Bloch, Anthony Michael
14 Buterin, Sergey Alexandrovich
14 Ferrari, Patrik Lino
14 Hu, Beibei
14 Korotyaev, Evgeny L.
14 Krasovsky, Igor V.
14 Strahov, Eugene
14 Wang, Kedong
14 Xia, Tie-Cheng
14 Xu, Jian
14 Zhou, Xin
13 Böttcher, Albrecht
13 Buckingham, Robert J.
13 Chen, Mingming
13 Cuccagna, Scipio
13 Deaño, Alfredo
13 Duits, Maurice
13 Grudsky, Sergei Mikhailovich
13 Ismail, Mourad El-Houssieny
12 Damanik, David
12 Fokas, Athanassios S.
12 Gekhtman, Mikhaèl I.
12 Lambert, Gaultier
12 Sigal, Israel Michael
12 Tian, Shoufu
11 Chen, Yang
11 Egorova, Iryna
11 Hammond, Alan
11 Hempel, Rainer
11 Lisovyy, Oleg
11 Petrov, Leonid
11 Van Assche, Walter
11 Wang, Dengshan
10 Bourgade, Paul
10 Breuer, Jonathan
10 Ercolani, Nicholas M.
10 Ku, Min
10 Li, Ruomeng
10 Liechty, Karl
10 Liu, Dangzheng
10 Ol’shanskiĭ, Grigoriĭ Iosifovich
10 Perry, Peter A.
10 Pusateri, Fabio
10 Schehr, Grégory
10 Silva, Guilherme L. F.
10 Tierz, Miguel
10 Tomei, Carlos
10 Yafaev, Dimitri R.
9 Adler, Mark
9 Akemann, Gernot
9 Arai, Asao
9 Basu, Riddhipratim
9 Cafasso, Mattia
...and 2,454 more Authors
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Cited in 355 Serials

240 Communications in Mathematical Physics
193 Journal of Mathematical Physics
91 Physica D
87 Journal of Approximation Theory
81 Journal of Mathematical Analysis and Applications
67 Journal of Differential Equations
66 Journal of Statistical Physics
59 Journal of Functional Analysis
58 Communications on Pure and Applied Mathematics
56 Advances in Mathematics
48 Constructive Approximation
48 Journal of Physics A: Mathematical and Theoretical
46 Probability Theory and Related Fields
43 The Annals of Probability
42 Random Matrices: Theory and Applications
41 Linear Algebra and its Applications
37 Nonlinearity
37 Duke Mathematical Journal
35 Letters in Mathematical Physics
35 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
34 Journal of Computational and Applied Mathematics
34 Transactions of the American Mathematical Society
33 Studies in Applied Mathematics
29 Theoretical and Mathematical Physics
27 Journal of High Energy Physics
26 Communications in Partial Differential Equations
25 Annales Henri Poincaré
22 SIAM Journal on Mathematical Analysis
22 Bulletin of the American Mathematical Society. New Series
22 Analysis and Applications (Singapore)
21 Journal of Statistical Mechanics: Theory and Experiment
20 Journal d’Analyse Mathématique
20 Electronic Journal of Probability
19 Proceedings of the American Mathematical Society
18 Nuclear Physics. B
18 Mathematical Physics, Analysis and Geometry
17 Reviews in Mathematical Physics
17 Journal of Geometry and Physics
17 Inventiones Mathematicae
17 Analysis and Mathematical Physics
16 Advances in Applied Mathematics
16 Applied Mathematics Letters
16 Journal of Nonlinear Science
15 Wave Motion
15 Applied Mathematics and Computation
15 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
15 Discrete and Continuous Dynamical Systems
15 Journal of Nonlinear Mathematical Physics
14 Mathematical Notes
14 Integral Equations and Operator Theory
14 Journal of Mathematical Sciences (New York)
14 Foundations of Computational Mathematics
13 Applicable Analysis
13 Annales de l’Institut Henri Poincaré. Physique Théorique
13 St. Petersburg Mathematical Journal
13 Journal of Spectral Theory
12 Functional Analysis and its Applications
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Acta Applicandae Mathematicae
12 Journal of Theoretical Probability
12 The Annals of Applied Probability
10 Archive for Rational Mechanics and Analysis
10 Mathematical Methods in the Applied Sciences
10 Mathematische Nachrichten
10 Stochastic Processes and their Applications
10 Acta Mathematica Sinica. English Series
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Physics Letters. A
9 Mathematics of Computation
9 Journal of the American Mathematical Society
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Complex Analysis and Operator Theory
8 Acta Mathematica
8 Memoirs of the American Mathematical Society
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Computational Methods and Function Theory
7 Chaos, Solitons and Fractals
7 Annales de l’Institut Fourier
7 Results in Mathematics
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Complex Variables and Elliptic Equations
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Quarterly of Applied Mathematics
6 Transactions of the Moscow Mathematical Society
6 Statistics & Probability Letters
6 Acta Mathematicae Applicatae Sinica. English Series
6 Russian Journal of Mathematical Physics
6 NoDEA. Nonlinear Differential Equations and Applications
6 Selecta Mathematica. New Series
6 Bernoulli
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Journal of the European Mathematical Society (JEMS)
6 Communications in Nonlinear Science and Numerical Simulation
6 Nonlinear Analysis. Real World Applications
6 Analysis & PDE
5 Computers & Mathematics with Applications
5 Discrete Applied Mathematics
5 Reports on Mathematical Physics
5 Journal of Combinatorial Theory. Series A
...and 255 more Serials
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Cited in 60 Fields

1,065 Partial differential equations (35-XX)
709 Probability theory and stochastic processes (60-XX)
594 Dynamical systems and ergodic theory (37-XX)
482 Linear and multilinear algebra; matrix theory (15-XX)
452 Ordinary differential equations (34-XX)
427 Statistical mechanics, structure of matter (82-XX)
421 Quantum theory (81-XX)
373 Operator theory (47-XX)
320 Special functions (33-XX)
217 Harmonic analysis on Euclidean spaces (42-XX)
184 Functions of a complex variable (30-XX)
184 Approximations and expansions (41-XX)
174 Numerical analysis (65-XX)
155 Combinatorics (05-XX)
75 Difference and functional equations (39-XX)
67 Fluid mechanics (76-XX)
64 Functional analysis (46-XX)
63 Integral equations (45-XX)
60 Statistics (62-XX)
50 Mechanics of particles and systems (70-XX)
48 Algebraic geometry (14-XX)
46 Global analysis, analysis on manifolds (58-XX)
42 Potential theory (31-XX)
41 Computer science (68-XX)
40 Differential geometry (53-XX)
38 Nonassociative rings and algebras (17-XX)
34 Optics, electromagnetic theory (78-XX)
33 Mechanics of deformable solids (74-XX)
31 Number theory (11-XX)
26 Relativity and gravitational theory (83-XX)
26 Information and communication theory, circuits (94-XX)
21 Group theory and generalizations (20-XX)
19 Integral transforms, operational calculus (44-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
18 Operations research, mathematical programming (90-XX)
17 Measure and integration (28-XX)
16 Several complex variables and analytic spaces (32-XX)
13 Real functions (26-XX)
12 History and biography (01-XX)
12 Biology and other natural sciences (92-XX)
10 Topological groups, Lie groups (22-XX)
9 Associative rings and algebras (16-XX)
7 Abstract harmonic analysis (43-XX)
7 Convex and discrete geometry (52-XX)
6 General and overarching topics; collections (00-XX)
6 Systems theory; control (93-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Manifolds and cell complexes (57-XX)
4 Field theory and polynomials (12-XX)
4 Sequences, series, summability (40-XX)
4 Geophysics (86-XX)
3 Commutative algebra (13-XX)
3 General topology (54-XX)
2 Geometry (51-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematical logic and foundations (03-XX)
1 \(K\)-theory (19-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)

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