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Deift, Percy A.

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Author ID: deift.percy-a Recent zbMATH articles by "Deift, Percy A."
Published as: Deift, P.; Deift, P. A.; Deift, Percy; Deift, Percy A.
Homepage: https://math.nyu.edu/people/profiles/DEIFT_Percy.html
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 123 Publications since 1976, including 10 Books
Biographic References: 2 Publications
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 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 Bulletin of the American Mathematical Society. New Series
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

110 Publications have been cited 4,055 times in 2,293 Documents Cited by Year
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033
Deift, Percy
374
2000
A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Zbl 0771.35042
Deift, P.; Zhou, X.
367
1993
On the distribution of the length of the longest increasing subsequence of random permutations. Zbl 0932.05001
Baik, Jinho; Deift, Percy; Johansson, Kurt
296
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.
278
1999
Inverse scattering on the line. Zbl 0388.34005
Deift, P.; Trubowitz, E.
240
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.
226
1999
Applications of a commutation formula. Zbl 0392.47013
Deift, P. A.
98
1978
Direct and inverse scattering on the line. Zbl 0679.34018
Beals, Richard; Deift, Percy; Tomei, Carlos
86
1988
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
84
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.
75
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.
72
1998
Asymptotics for the Painlevé II equation. Zbl 0869.34047
Deift, P. A.; Zhou, X.
68
1995
Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032
Deift, P.; Nanda, T.; Tomei, C.
66
1983
Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026
Deift, P.; Simon, B.
60
1983
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
59
1993
The collisionless shock region for the long-time behavior of solutions of the KdV equation. Zbl 0797.35143
Deift, P.; Venakides, S.; Zhou, X.
56
1994
Inverse scattering and the Boussinesq equation. Zbl 0479.35074
Deift, P.; Tomei, C.; Trubowitz, E.
56
1982
The Toda flow on a generic orbit is integrable. Zbl 0606.58020
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C.
55
1986
Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023
Deift, Percy; Gioev, Dimitri
54
2009
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
53
2011
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
50
1989
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
48
2013
A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031
Deift, P.; Zhou, X.
47
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
44
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
42
2003
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022
Deift, Percy; Gioev, Dimitri
40
2007
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
40
1998
Matrix factorizations and integrable systems. Zbl 0689.70006
Deift, P.; Li, L. C.; Tomei, C.
38
1989
Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV. Zbl 0419.35079
Deift, P.; Hunziker, W.; Simon, B.; Vock, E.
35
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.
35
1976
Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014
Baik, Jinho; Deift, Percy; Strahov, Eugene
34
2003
Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089
Borodin, Alexei; Deift, Percy
34
2002
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
30
2008
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
30
1988
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
27
2001
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
26
2007
Integrable operators. Zbl 0920.35105
Deift, Percy
26
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.
26
1998
The Toda shock problem. Zbl 0749.35054
Venakides, Stephanos; Deift, Percy; Oba, Roger
25
1991
Nonlinear wave equations and constrained harmonic motion. Zbl 0435.35072
Deift, P.; Lund, F.; Trubowitz, E.
25
1980
Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
24
2007
Toda flows with infinitely many variables. Zbl 0615.58016
Deift, P.; Li, L. C.; Tomei, C.
24
1985
Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089
Deift, Percy; Zhou, Xin
23
2002
Integrable systems and combinatorial theory. Zbl 1041.05004
Deift, Percy
21
2000
The Toda rarefaction problem. Zbl 0857.34025
Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin
21
1996
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
Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data. Zbl 1251.35145
Deift, Percy; Park, Jungwoon
19
2011
Universality for mathematical and physical systems. Zbl 1149.82012
Deift, Percy
19
2007
Combinatorics and random matrix theory. Zbl 1342.05001
Baik, Jinho; Deift, Percy; Suidan, Toufic
18
2016
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
18
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.
18
2001
A time-dependent approach to the completeness of multiparticle quantum systems. Zbl 0354.47004
Deift, P.; Simon, B.
18
1977
Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305
Deift, Percy
17
2008
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
17
1999
A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438
Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic
16
2006
Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122
Deift, P. A.; Zhou, X.
16
1994
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
14
2015
An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035
Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan
14
2011
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
The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035
Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos
14
1991
On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004
Deift, P.; Nanda, T.
14
1984
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
12
2012
Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014
Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M.
12
2007
Universality in numerical computations with random data. Zbl 1355.65019
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas
11
2014
Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073
Deift, Percy; Zhou, Xin
11
1991
A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084
Deift, Percy; Zhou, Xin
10
2002
How long does it take to compute the eigenvalues of a random symmetric matrix? Zbl 1326.65050
Pfrang, Christian W.; Deift, Percy; Menon, Govind
9
2014
Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013
Deift, Percy; Krasovsky, Igor; Vasilevska, Julia
9
2011
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
8
2018
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
8
2001
Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field. Zbl 0849.35115
Deift, P.; Zhou, X.
8
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.
8
1994
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
8
1993
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
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
Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160
Deift, Percy
7
2017
On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008
Menon, Govind; Trogdon, Thomas; Deift, Percy A.
7
2016
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
6
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
6
2017
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
6
2011
Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325
Deift, Percy
6
2007
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
Forced lattice vibrations. II. Zbl 0860.34005
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
5
1995
Forced lattice vibrations. I. Zbl 0860.34004
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
5
1995
Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024
Deift, Percy; Ruskai, Mary Beth; Spitzer, Wolfgang
4
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
Gesztesy, Fritz (ed.); Deift, Percy (ed.); Galvez, Cherie (ed.); Perry, Peter (ed.); Schlag, Wilhelm (ed.)
4
2007
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. Zbl 1099.30027
Deift, Percy; Östensson, Jörgen
4
2006
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
On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045
Deift, P. A.; Tomei, C.
4
1983
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
A monotonicity property for Toda-type flows. Zbl 0736.34074
Deift, P. A.; Rivera, S.; Tomei, C.; Watkins, D. S.
3
1991
An identity among squares of eigenfunctions. Zbl 0479.34010
Deift, P.; Trubowitz, E.
3
1981
Three lectures on “Fifty years of KdV: an integrable system”. Zbl 07215718
Deift, Percy A.
2
2019
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
2
2018
Integrable Hamiltonian systems. Zbl 0847.58042
Deift, Percy
2
1996
Asymptotics for the Painlevé II equation: Announcement of result. Zbl 0816.34035
Deift, P. A.; Zhou, X.
2
1994
Some remarks on the Korteweg-de Vries and Hill’s equations. Zbl 0487.35077
Deift, P.; Trubowitz, E.
2
1980
Three lectures on “Fifty years of KdV: an integrable system”. Zbl 07215718
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
8
2018
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
2
2018
Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027
Conway, Thomas Oliver; Deift, Percy
1
2018
Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160
Deift, Percy
7
2017
Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089
Deift, Percy; Trogdon, Thomas
6
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
6
2017
Combinatorics and random matrix theory. Zbl 1342.05001
Baik, Jinho; Deift, Percy; Suidan, Toufic
18
2016
On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008
Menon, Govind; Trogdon, Thomas; Deift, Percy A.
7
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
14
2015
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
18
2014
Universality in numerical computations with random data. Zbl 1355.65019
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas
11
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
9
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
48
2013
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
12
2012
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
53
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
19
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
9
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
6
2011
Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023
Deift, Percy; Gioev, Dimitri
54
2009
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
30
2008
Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305
Deift, Percy
17
2008
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022
Deift, Percy; Gioev, Dimitri
40
2007
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
26
2007
Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
24
2007
Universality for mathematical and physical systems. Zbl 1149.82012
Deift, Percy
19
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
6
2007
Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024
Deift, Percy; Ruskai, Mary Beth; Spitzer, Wolfgang
4
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
Gesztesy, Fritz (ed.); Deift, Percy (ed.); Galvez, Cherie (ed.); Perry, Peter (ed.); Schlag, Wilhelm (ed.)
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
16
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
42
2003
Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014
Baik, Jinho; Deift, Percy; Strahov, Eugene
34
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
34
2002
Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089
Deift, Percy; Zhou, Xin
23
2002
A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084
Deift, Percy; Zhou, Xin
10
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
27
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.
18
2001
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
8
2001
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033
Deift, Percy
374
2000
Integrable systems and combinatorial theory. Zbl 1041.05004
Deift, Percy
21
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
296
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.
278
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.
226
1999
Integrable operators. Zbl 0920.35105
Deift, Percy
26
1999
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
17
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.
72
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.
26
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
84
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.
75
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
21
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.
68
1995
Forced lattice vibrations. II. Zbl 0860.34005
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
5
1995
Forced lattice vibrations. I. Zbl 0860.34004
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.
56
1994
Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122
Deift, P. A.; Zhou, X.
16
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.
8
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.
8
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.
367
1993
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
59
1993
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
8
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.
47
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
25
1991
The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035
Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos
14
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
50
1989
Matrix factorizations and integrable systems. Zbl 0689.70006
Deift, P.; Li, L. C.; Tomei, C.
38
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
86
1988
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
30
1988
Inverse scattering for self-adjoint \(n^{\mathrm{th}}\) order differential operators on the line. Zbl 0657.34027
Beals, R.; Tomei, Carlos; Deift, Percy
1
1987
The Toda flow on a generic orbit is integrable. Zbl 0606.58020
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C.
55
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
44
1986
Toda flows with infinitely many variables. Zbl 0615.58016
Deift, P.; Li, L. C.; Tomei, C.
24
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.
66
1983
Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026
Deift, P.; Simon, B.
60
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.
56
1982
Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081
Deift, Percy; Sylvester, John
9
1981
...and 10 more Documents
all top 5

Cited by 2,116 Authors

46 Kuijlaars, Arno B. J.
39 Deift, Percy A.
38 Simon, Barry
36 Gesztesy, Fritz
35 Its, Alexander Rudolfovich
28 Bertola, Marco
25 Aktosun, Tuncay
23 Borodin, Alexei
22 Lubinsky, Doron S.
20 Erdős, László
20 Wong, Roderick Sue-Chuen
20 Xu, Shuaixia
19 Claeys, Tom
19 Sakhnovich, Alexander L.
19 Yurko, Vjacheslav Anatoljevich
18 McLaughlin, Kenneth D. T.-R.
18 Teschl, Gerald
17 Fan, Engui
17 Forrester, Peter J.
17 Klaus, Martin
17 Trogdon, Thomas
17 Yau, Horng-Tzer
16 Baik, Jinho
16 Boutet de Monvel, Anne Marie
16 Dai, Dan
16 Shepelsky, Dmitry
16 Van der Mee, Cornelis Victor Maria
16 Zhao, Yuqiu
15 Aptekarev, Alexander Ivanovich
15 Grava, Tamara
15 Lenells, Jonatan
15 Li, Luen-Chau
14 Bleher, Pavel M.
14 Guo, Boling
14 Zhang, Lun
14 Zhou, Xin
13 Biondini, Gino
13 Bothner, Thomas
13 Martínez-Finkelshtein, Andrei
13 Olver, Sheehan Shakiban
13 Strahov, Eugene
13 Tovbis, Alexander
12 Bloch, Anthony M.
12 Buterin, Sergey Alexandrovich
12 Fokas, Athanassios S.
12 Miller, Peter D.
12 Xu, Jian
11 Corwin, Ivan
11 Duits, Maurice
11 Ismail, Mourad El-Houssieny
11 Krasovsky, Igor V.
11 Lisovyy, Oleg
11 Seppäläinen, Timo
11 Sigal, Israel Michael
11 Van Assche, Walter
10 Adler, Mark
10 Böttcher, Albrecht
10 Breuer, Jonathan
10 Buckingham, Robert J.
10 Ferrari, Patrik Lino
10 Geng, Xianguo
10 Grudsky, Sergei Mikhailovich
10 Liu, Nan
10 van Moerbeke, Pierre
10 Yattselev, Maxim L.
9 Arai, Asao
9 Clarkson, Peter A.
9 Cuccagna, Scipio
9 Damanik, David
9 Deaño, Alfredo
9 Hempel, Rainer
9 Herbst, Ira W.
9 Korotyaev, Evgeny L.
9 Liechty, Karl
9 Ol’shanskiĭ, Grigoriĭ Iosifovich
9 Perry, Peter A.
9 Petrov, Leonid
9 Sacks, Paul E.
9 Tomei, Carlos
9 Xia, Tie-Cheng
8 Bourgade, Paul
8 Charlier, Christophe
8 Chu, Moody T.
8 Delvaux, Steven
8 Egorova, Iryna
8 Kamvissis, Spyridon
8 Lambert, Gaultier
8 Liu, Dangzheng
8 Quastel, Jeremy
8 Schehr, Grégory
8 Schlag, Wilhelm
8 Shcherbina, Mariya
8 Venakides, Stephanos
8 Yin, Jun
7 Carmona, René A.
7 Diaconis, Persi Warren
7 El, Gennady A.
7 Fulman, Jason E.
7 Fyodorov, Yan V.
7 Hu, Beibei
...and 2,016 more Authors
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Cited in 305 Serials

205 Communications in Mathematical Physics
174 Journal of Mathematical Physics
78 Journal of Approximation Theory
73 Journal of Mathematical Analysis and Applications
61 Journal of Statistical Physics
59 Physica D
52 Journal of Functional Analysis
48 Communications on Pure and Applied Mathematics
46 Journal of Differential Equations
40 Probability Theory and Related Fields
39 Advances in Mathematics
38 Linear Algebra and its Applications
37 Constructive Approximation
36 The Annals of Probability
34 Duke Mathematical Journal
32 Journal of Computational and Applied Mathematics
32 Transactions of the American Mathematical Society
32 Random Matrices: Theory and Applications
29 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
28 Letters in Mathematical Physics
26 Communications in Partial Differential Equations
22 Studies in Applied Mathematics
19 Journal d’Analyse Mathématique
19 Bulletin of the American Mathematical Society. New Series
17 Nonlinearity
17 Theoretical and Mathematical Physics
17 Proceedings of the American Mathematical Society
16 Reviews in Mathematical Physics
16 Annales Henri Poincaré
16 Analysis and Applications (Singapore)
16 Journal of Physics A: Mathematical and Theoretical
14 Nuclear Physics. B
14 Integral Equations and Operator Theory
14 Advances in Applied Mathematics
14 Journal of High Energy Physics
14 Journal of Statistical Mechanics: Theory and Experiment
13 Journal of Geometry and Physics
13 Inventiones Mathematicae
13 SIAM Journal on Mathematical Analysis
13 Annales de l’Institut Henri Poincaré. Physique Théorique
12 Wave Motion
12 Applied Mathematics and Computation
12 Mathematical Physics, Analysis and Geometry
12 Journal of Nonlinear Mathematical Physics
11 Acta Applicandae Mathematicae
11 Journal of Nonlinear Science
11 St. Petersburg Mathematical Journal
11 Foundations of Computational Mathematics
10 Applicable Analysis
10 Mathematical Notes
10 Functional Analysis and its Applications
10 Journal of Theoretical Probability
10 Applied Mathematics Letters
10 Electronic Journal of Probability
10 Discrete and Continuous Dynamical Systems
9 Physics Letters. A
9 Mathematics of Computation
9 Journal of the American Mathematical Society
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Analysis and Mathematical Physics
8 Archive for Rational Mechanics and Analysis
8 Acta Mathematica
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Journal of Mathematical Sciences (New York)
8 Computational Methods and Function Theory
7 Memoirs of the American Mathematical Society
7 Results in Mathematics
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 The Annals of Applied Probability
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Stochastic Processes and their Applications
7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
7 Complex Analysis and Operator Theory
6 Annales de l’Institut Fourier
6 Mathematische Nachrichten
6 Statistics & Probability Letters
6 Acta Mathematicae Applicatae Sinica. English Series
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Acta Mathematica Sinica. English Series
5 Computers & Mathematics with Applications
5 Discrete Applied Mathematics
5 Mathematical Methods in the Applied Sciences
5 Chaos, Solitons and Fractals
5 Journal of Combinatorial Theory. Series A
5 Journal of Soviet Mathematics
5 Mathematische Zeitschrift
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Transactions of the Moscow Mathematical Society
5 Japan Journal of Industrial and Applied Mathematics
5 Journal of Algebraic Combinatorics
5 Russian Journal of Mathematical Physics
5 The Journal of Fourier Analysis and Applications
5 Regular and Chaotic Dynamics
5 Nonlinear Analysis. Real World Applications
5 Complex Variables and Elliptic Equations
5 Proceedings of the Steklov Institute of Mathematics
4 Ukrainian Mathematical Journal
4 Journal of Algebra
4 Mathematische Annalen
...and 205 more Serials
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Cited in 59 Fields

773 Partial differential equations (35-XX)
533 Probability theory and stochastic processes (60-XX)
403 Dynamical systems and ergodic theory (37-XX)
382 Linear and multilinear algebra; matrix theory (15-XX)
372 Ordinary differential equations (34-XX)
346 Quantum theory (81-XX)
327 Statistical mechanics, structure of matter (82-XX)
314 Operator theory (47-XX)
240 Special functions (33-XX)
172 Harmonic analysis on Euclidean spaces (42-XX)
150 Numerical analysis (65-XX)
139 Functions of a complex variable (30-XX)
115 Combinatorics (05-XX)
112 Approximations and expansions (41-XX)
51 Fluid mechanics (76-XX)
49 Difference and functional equations (39-XX)
49 Functional analysis (46-XX)
42 Integral equations (45-XX)
42 Global analysis, analysis on manifolds (58-XX)
40 Statistics (62-XX)
39 Mechanics of particles and systems (70-XX)
36 Algebraic geometry (14-XX)
35 Potential theory (31-XX)
28 Differential geometry (53-XX)
26 Computer science (68-XX)
26 Mechanics of deformable solids (74-XX)
24 Optics, electromagnetic theory (78-XX)
21 Nonassociative rings and algebras (17-XX)
20 Number theory (11-XX)
20 Relativity and gravitational theory (83-XX)
18 Information and communication theory, circuits (94-XX)
16 Group theory and generalizations (20-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
14 Measure and integration (28-XX)
14 Integral transforms, operational calculus (44-XX)
13 Several complex variables and analytic spaces (32-XX)
13 Operations research, mathematical programming (90-XX)
11 Real functions (26-XX)
10 Topological groups, Lie groups (22-XX)
10 Biology and other natural sciences (92-XX)
9 History and biography (01-XX)
6 General and overarching topics; collections (00-XX)
5 Abstract harmonic analysis (43-XX)
5 Convex and discrete geometry (52-XX)
5 Systems theory; control (93-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Associative rings and algebras (16-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)
1 Mathematical logic and foundations (03-XX)
1 Geometry (51-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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