×
Compute Distance To:
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
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 118 Publications since 1976, including 6 Books
6 Contributions as Editor
Biographic References: 2 Publications
Co-Authors: 59 Co-Authors with 110 Joint Publications
1,574 Co-Co-Authors
all top 5

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
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 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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 Mathematical Sciences Research Institute Publications
1 Mathematical Surveys and Monographs

Publications by Year

Citations contained in zbMATH Open

111 Publications have been cited 4,393 times in 2,512 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.
425
1993
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033
Deift, Percy
352
2000
On the distribution of the length of the longest increasing subsequence of random permutations. Zbl 0932.05001
Baik, Jinho; Deift, Percy; Johansson, Kurt
335
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.
296
1999
Inverse scattering on the line. Zbl 0388.34005
Deift, P.; Trubowitz, E.
260
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.
244
1999
Applications of a commutation formula. Zbl 0392.47013
Deift, P. A.
100
1978
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
93
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.
80
1997
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.
78
1998
Asymptotics for the Painlevé II equation. Zbl 0869.34047
Deift, P. A.; Zhou, X.
77
1995
Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032
Deift, P.; Nanda, T.; Tomei, C.
69
1983
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
67
1993
Direct and inverse scattering on the line. Zbl 0679.34018
Beals, Richard; Deift, Percy; Tomei, Carlos
66
1988
Inverse scattering and the Boussinesq equation. Zbl 0479.35074
Deift, P.; Tomei, C.; Trubowitz, E.
66
1982
Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026
Deift, P.; Simon, B.
63
1983
The collisionless shock region for the long-time behavior of solutions of the KdV equation. Zbl 0797.35143
Deift, P.; Venakides, S.; Zhou, X.
63
1994
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
62
2011
Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023
Deift, Percy; Gioev, Dimitri
62
2009
The Toda flow on a generic orbit is integrable. Zbl 0606.58020
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C.
58
1986
Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space. Zbl 1038.35113
Deift, Percy; Zhou, Xin
56
2003
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
56
2013
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
53
1989
A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031
Deift, P.; Zhou, X.
52
1992
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
48
1986
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022
Deift, Percy; Gioev, Dimitri
48
2007
Matrix factorizations and integrable systems. Zbl 0689.70006
Deift, P.; Li, L. C.; Tomei, C.
42
1989
Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014
Baik, Jinho; Deift, Percy; Strahov, Eugene
41
2003
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
40
1998
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
39
2008
On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems. Zbl 0344.47007
Deift, P.; Simon, B.
37
1976
Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089
Borodin, Alexei; Deift, Percy
37
2002
Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV. Zbl 0419.35079
Deift, P.; Hunziker, W.; Simon, B.; Vock, E.
36
1978
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
35
1988
Integrable operators. Zbl 0920.35105
Deift, Percy
31
1999
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
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
29
2001
Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
28
2007
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
27
2007
Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089
Deift, Percy; Zhou, Xin
26
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
25
2011
Toda flows with infinitely many variables. Zbl 0615.58016
Deift, P.; Li, L. C.; Tomei, C.
25
1985
Nonlinear wave equations and constrained harmonic motion. Zbl 0435.35072
Deift, P.; Lund, F.; Trubowitz, E.
25
1980
Combinatorics and random matrix theory. Zbl 1342.05001
Baik, Jinho; Deift, Percy; Suidan, Toufic
25
2016
The Toda shock problem. Zbl 0749.35054
Venakides, Stephanos; Deift, Percy; Oba, Roger
24
1991
Integrable systems and combinatorial theory. Zbl 1041.05004
Deift, Percy
23
2000
The Toda rarefaction problem. Zbl 0857.34025
Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin
23
1996
Universality for mathematical and physical systems. Zbl 1149.82012
Deift, Percy
23
2007
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.
20
1997
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
19
2014
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.
19
2001
Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305
Deift, Percy
19
2008
A time-dependent approach to the completeness of multiparticle quantum systems. Zbl 0354.47004
Deift, P.; Simon, B.
19
1977
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
18
1999
Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122
Deift, P. A.; Zhou, X.
18
1994
A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438
Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic
18
2006
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
15
2015
On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004
Deift, P.; Nanda, T.
14
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.
14
2000
An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035
Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan
14
2011
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
14
2012
Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013
Deift, Percy; Krasovsky, Igor; Vasilevska, Julia
13
2011
The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035
Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos
13
1991
Universality in numerical computations with random data. Zbl 1355.65019
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas
13
2014
A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084
Deift, Percy; Zhou, Xin
12
2002
Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014
Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M.
12
2007
Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160
Deift, Percy
11
2017
Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073
Deift, Percy; Zhou, Xin
11
1991
How long does it take to compute the eigenvalues of a random symmetric matrix? Zbl 1326.65050
Pfrang, Christian W.; Deift, Percy; Menon, Govind
10
2014
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.
10
1994
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
9
2001
Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081
Deift, Percy; Sylvester, John
9
1981
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012
Deift, Percy; Trogdon, Thomas
9
2018
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
9
1993
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
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
8
1991
On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008
Menon, Govind; Trogdon, Thomas; Deift, Percy A.
8
2016
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
7
2011
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
Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089
Deift, Percy; Trogdon, Thomas
7
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
7
2017
Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field. Zbl 0849.35115
Deift, P.; Zhou, X.
6
1994
Forced lattice vibrations. I. Zbl 0860.34004
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
Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325
Deift, Percy
5
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
4
2007
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
Forced lattice vibrations. II. Zbl 0860.34005
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
4
1995
On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045
Deift, P. A.; Tomei, C.
4
1983
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. Zbl 1099.30027
Deift, Percy; Östensson, Jörgen
4
2006
Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024
Deift, Percy; Ruskai, Mary Beth; Spitzer, Wolfgang
4
2007
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
3
2018
An identity among squares of eigenfunctions. Zbl 0479.34010
Deift, P.; Trubowitz, E.
3
1981
A monotonicity property for Toda-type flows. Zbl 0736.34074
Deift, P. A.; Rivera, S.; Tomei, C.; Watkins, D. S.
3
1991
Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
3
1998
Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043
Deift, P.; Li, L.-C.; Tomei, C.
3
1993
Some remarks on the Korteweg-de Vries and Hill’s equations. Zbl 0487.35077
Deift, P.; Trubowitz, E.
2
1980
Integrable Hamiltonian systems. Zbl 0847.58042
Deift, Percy
2
1996
Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027
Conway, Thomas Oliver; Deift, Percy
2
2018
Asymptotics for the Painlevé II equation: Announcement of result. Zbl 0816.34035
Deift, P. A.; Zhou, X.
2
1994
The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic. Zbl 1458.65028
Deift, Percy; Trogdon, Thomas
1
2021
Three lectures on “Fifty years of KdV: an integrable system”. Zbl 1461.37070
Deift, Percy A.
2
2019
Riemann-Hilbert problems. Zbl 1443.34097
Deift, Percy
1
2019
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012
Deift, Percy; Trogdon, Thomas
9
2018
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
3
2018
Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027
Conway, Thomas Oliver; Deift, Percy
2
2018
Universality in numerical computation with random data: case studies, analytical results and some speculations. Zbl 07040540
Deift, Percy; Trogdon, Thomas
1
2018
Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160
Deift, Percy
11
2017
Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089
Deift, Percy; Trogdon, Thomas
7
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
7
2017
Combinatorics and random matrix theory. Zbl 1342.05001
Baik, Jinho; Deift, Percy; Suidan, Toufic
25
2016
On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008
Menon, Govind; Trogdon, Thomas; Deift, Percy A.
8
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
15
2015
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
19
2014
Universality in numerical computations with random data. Zbl 1355.65019
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas
13
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
10
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
56
2013
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
14
2012
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
62
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
25
2011
An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035
Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan
14
2011
Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013
Deift, Percy; Krasovsky, Igor; Vasilevska, Julia
13
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
7
2011
Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023
Deift, Percy; Gioev, Dimitri
62
2009
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
39
2008
Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305
Deift, Percy
19
2008
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022
Deift, Percy; Gioev, Dimitri
48
2007
Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
28
2007
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
27
2007
Universality for mathematical and physical systems. Zbl 1149.82012
Deift, Percy
23
2007
Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014
Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M.
12
2007
Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325
Deift, Percy
5
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
4
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
18
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
56
2003
Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014
Baik, Jinho; Deift, Percy; Strahov, Eugene
41
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
37
2002
Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089
Deift, Percy; Zhou, Xin
26
2002
A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084
Deift, Percy; Zhou, Xin
12
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
29
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.
19
2001
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
9
2001
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033
Deift, Percy
352
2000
Integrable systems and combinatorial theory. Zbl 1041.05004
Deift, Percy
23
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.
14
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
335
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.
296
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.
244
1999
Integrable operators. Zbl 0920.35105
Deift, Percy
31
1999
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
18
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.
78
1998
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
40
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
93
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.
80
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.
20
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
23
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.
77
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
4
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.
63
1994
Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122
Deift, P. A.; Zhou, X.
18
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.
10
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.
6
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.
425
1993
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
67
1993
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
9
1993
Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043
Deift, P.; Li, L.-C.; Tomei, C.
3
1993
A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031
Deift, P.; Zhou, X.
52
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
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
24
1991
The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035
Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos
13
1991
Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073
Deift, Percy; Zhou, Xin
11
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
8
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
53
1989
Matrix factorizations and integrable systems. Zbl 0689.70006
Deift, P.; Li, L. C.; Tomei, C.
42
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
66
1988
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
35
1988
The Toda flow on a generic orbit is integrable. Zbl 0606.58020
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C.
58
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
48
1986
Toda flows with infinitely many variables. Zbl 0615.58016
Deift, P.; Li, L. C.; Tomei, C.
25
1985
On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004
Deift, P.; Nanda, T.
14
1984
Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032
Deift, P.; Nanda, T.; Tomei, C.
69
1983
Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026
Deift, P.; Simon, B.
63
1983
On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045
Deift, P. A.; Tomei, C.
4
1983
Inverse scattering and the Boussinesq equation. Zbl 0479.35074
Deift, P.; Tomei, C.; Trubowitz, E.
66
1982
...and 11 more Documents
all top 5

Cited by 2,190 Authors

48 Kuijlaars, Arno B. J.
40 Deift, Percy A.
39 Simon, Barry
37 Its, Alexander Rudolfovich
36 Gesztesy, Fritz
31 Bertola, Marco
25 Aktosun, Tuncay
25 Fan, Engui
23 Borodin, Alexei
22 Lubinsky, Doron S.
22 Xu, Shuaixia
21 Claeys, Tom
21 Lenells, Jonatan
20 Erdős, László
20 Wong, Roderick Sue-Chuen
19 Forrester, Peter J.
19 McLaughlin, Kenneth D. T.-R.
19 Shepelsky, Dmitry
19 Teschl, Gerald
19 Trogdon, Thomas
19 Yurko, Vjacheslav Anatoljevich
18 Sakhnovich, Alexander L.
18 Zhao, Yuqiu
17 Baik, Jinho
17 Boutet de Monvel, Anne Marie
17 Dai, Dan
17 Geng, Xianguo
17 Guo, Boling
17 Klaus, Martin
17 Van der Mee, Cornelis Victor Maria
17 Yau, Horng-Tzer
16 Aptekarev, Alexander Ivanovich
16 Grava, Tamara
15 Li, Luen-Chau
14 Biondini, Gino
14 Bleher, Pavel M.
14 Buterin, Sergey Alexandrovich
14 Strahov, Eugene
14 Zhang, Lun
14 Zhou, Xin
13 Bothner, Thomas
13 Charlier, Christophe
13 Corwin, Ivan Z.
13 Duits, Maurice
13 Ferrari, Patrik Lino
13 Martínez-Finkelshtein, Andrei
13 Olver, Sheehan Shakiban
13 Tovbis, Alexander
13 Xu, Jian
13 Yattselev, Maxim L.
12 Bloch, Anthony Michael
12 Fokas, Athanassios S.
12 Gekhtman, Mikhaèl I.
12 Ismail, Mourad El-Houssieny
12 Korotyaev, Evgeny L.
12 Liu, Nan
12 Miller, Peter D.
12 Seppäläinen, Timo
11 Böttcher, Albrecht
11 Buckingham, Robert J.
11 Grudsky, Sergei Mikhailovich
11 Krasovsky, Igor V.
11 Lambert, Gaultier
11 Lisovyy, Oleg
11 Petrov, Leonid
11 Sigal, Israel Michael
11 Van Assche, Walter
10 Cuccagna, Scipio
10 Damanik, David
10 Deaño, Alfredo
10 Hempel, Rainer
10 Ol’shanskiĭ, Grigoriĭ Iosifovich
9 Adler, Mark
9 Arai, Asao
9 Bourgade, Paul
9 Breuer, Jonathan
9 Clarkson, Peter A.
9 Egorova, Iryna
9 Herbst, Ira W.
9 Hu, Beibei
9 Liechty, Karl
9 Liu, Dangzheng
9 Perry, Peter A.
9 Sacks, Paul E.
9 Tierz, Miguel
9 Tomei, Carlos
9 van Moerbeke, Pierre
9 Xia, Tie-Cheng
8 Chu, Moody T.
8 Delvaux, Steven
8 Kamvissis, Spyridon
8 Quastel, Jeremy
8 Schehr, Grégory
8 Schlag, Wilhelm
8 Shcherbina, Mariya
8 Silva, Guilherme L. F.
8 Venakides, Stephanos
8 Wang, Dengshan
8 Yin, Jun
7 Akemann, Gernot
...and 2,090 more Authors
all top 5

Cited in 323 Serials

217 Communications in Mathematical Physics
177 Journal of Mathematical Physics
77 Journal of Approximation Theory
76 Journal of Mathematical Analysis and Applications
67 Physica D
63 Journal of Statistical Physics
55 Journal of Functional Analysis
53 Journal of Differential Equations
48 Communications on Pure and Applied Mathematics
44 Advances in Mathematics
43 Probability Theory and Related Fields
41 Constructive Approximation
39 The Annals of Probability
37 Linear Algebra and its Applications
36 Duke Mathematical Journal
34 Random Matrices: Theory and Applications
32 Journal of Computational and Applied Mathematics
32 Transactions of the American Mathematical Society
30 Letters in Mathematical Physics
29 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
26 Communications in Partial Differential Equations
24 Nonlinearity
24 Theoretical and Mathematical Physics
22 Studies in Applied Mathematics
22 Bulletin of the American Mathematical Society. New Series
21 Annales Henri Poincaré
19 Journal d’Analyse Mathématique
18 Proceedings of the American Mathematical Society
18 Analysis and Applications (Singapore)
17 Nuclear Physics. B
17 Journal of High Energy Physics
17 Journal of Statistical Mechanics: Theory and Experiment
16 Reviews in Mathematical Physics
16 Journal of Physics A: Mathematical and Theoretical
15 Applied Mathematics and Computation
15 Journal of Nonlinear Science
15 Electronic Journal of Probability
15 Analysis and Mathematical Physics
14 Integral Equations and Operator Theory
14 Advances in Applied Mathematics
14 SIAM Journal on Mathematical Analysis
13 Wave Motion
13 Journal of Geometry and Physics
13 Inventiones Mathematicae
13 Annales de l’Institut Henri Poincaré. Physique Théorique
13 St. Petersburg Mathematical Journal
13 Mathematical Physics, Analysis and Geometry
13 Journal of Nonlinear Mathematical Physics
12 Mathematical Notes
12 Functional Analysis and its Applications
12 Acta Applicandae Mathematicae
12 Journal of Theoretical Probability
12 Applied Mathematics Letters
11 Discrete and Continuous Dynamical Systems
11 Foundations of Computational Mathematics
10 Applicable Analysis
10 Stochastic Processes and their Applications
10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
10 Journal of Mathematical Sciences (New York)
9 Archive for Rational Mechanics and Analysis
9 Mathematics of Computation
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Journal of the American Mathematical Society
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Physics Letters. A
8 Acta Mathematica
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 The Annals of Applied Probability
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Computational Methods and Function Theory
8 Complex Analysis and Operator Theory
8 Journal of Spectral Theory
7 Annales de l’Institut Fourier
7 Memoirs of the American Mathematical Society
7 Results in Mathematics
7 Acta Mathematica Sinica. English Series
6 Mathematische Nachrichten
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Transactions of the Moscow Mathematical Society
6 Statistics & Probability Letters
6 Acta Mathematicae Applicatae Sinica. English Series
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Russian Journal of Mathematical Physics
6 Selecta Mathematica. New Series
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Complex Variables and Elliptic Equations
5 Computers & Mathematics with Applications
5 Discrete Applied Mathematics
5 Mathematical Methods in the Applied Sciences
5 Reports on Mathematical Physics
5 Chaos, Solitons and Fractals
5 Journal of Combinatorial Theory. Series A
5 Journal of Soviet Mathematics
5 Mathematische Zeitschrift
5 Quarterly of Applied Mathematics
5 Japan Journal of Industrial and Applied Mathematics
5 Journal of Algebraic Combinatorics
5 Bernoulli
5 Sbornik: Mathematics
5 The Journal of Fourier Analysis and Applications
...and 223 more Serials
all top 5

Cited in 59 Fields

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

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.