## Deift, Percy A.

Compute Distance To:
 Author ID: deift.percy-a Published as: Deift, Percy; Deift, P.; Deift, P. A.; Deift, Percy A. more...less Homepage: https://math.nyu.edu/people/profiles/DEIFT_Percy.html External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 119 Publications since 1976, including 6 Books 6 Contributions as Editor Biographic References: 2 Publications Co-Authors: 60 Co-Authors with 111 Joint Publications 1,653 Co-Co-Authors
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### Co-Authors

 14 single-authored 26 Zhou, Xin 17 Tomei, Carlos 15 Its, Alexander Rudolfovich 12 Kriecherbauer, Thomas 12 Li, Luen-Chau 11 Venakides, Stephanos 10 Krasovsky, Igor V. 9 McLaughlin, Kenneth D. T.-R. 8 Baik, Jinho 8 Trogdon, Thomas 7 Trubowitz, Eugene 5 Gioev, Dimitri 4 Beals, Richard W. 4 Nanda, T. 4 Simon, Barry 3 Bothner, Thomas 3 Gesztesy, Fritz 3 Hempel, Rainer 3 Johansson, Kurt 3 Menon, Govind K. 2 Alama, Stan 2 Borodin, Alexei 2 Demmel, James Weldon 2 Galvez, Cherie 2 Lund, Fernando 2 Park, Jungwoon 2 Perry, Peter A. 2 Schlag, Wilhelm 2 Suidan, Toufic M. 1 Avellaneda, Marco 1 Conway, Thomas Oliver 1 Corwin, Ivan Z. 1 Costin, Ovidiu 1 Forrester, Peter J. 1 Fröhlich, Jürg Martin 1 Güntürk, Cemalettin Sinan 1 Harrell, Evans M. II 1 Kamvissis, Spyridon 1 Kapaev, Andrei A. 1 Krahmer, Felix 1 Levermore, C. David 1 Miller, Peter D. 1 Oba, Roger M. 1 Olver, Sheehan Shakiban 1 Östensson, Jörgen 1 Pfrang, Christian W. 1 Rains, Eric M. 1 Reed, Mike 1 Rosen, Lon M. 1 Ruskai, Mary Beth 1 Spitzer, Wolfgang Ludwig 1 Spohn, Herbert 1 Strahov, Eugene 1 Sylvester, John Herbert 1 Vanakides, S. 1 Vanlessen, Maarten 1 Vasilevska, Julia 1 Vock, E. 1 Watkins, David S. 1 Wayne, Clarence Eugene
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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 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 1 Pure and Applied Functional Analysis
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### Fields

 39 Partial differential equations (35-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 34 Ordinary differential equations (34-XX) 27 Dynamical systems and ergodic theory (37-XX) 25 Probability theory and stochastic processes (60-XX) 18 Operator theory (47-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Numerical analysis (65-XX) 13 Special functions (33-XX) 10 Functions of a complex variable (30-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Quantum theory (81-XX) 6 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 6 Mechanics of particles and systems (70-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 2 Potential theory (31-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX)

### Citations contained in zbMATH Open

111 Publications have been cited 4,418 times in 2,525 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.
1993
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033
Deift, Percy
2000
On the distribution of the length of the longest increasing subsequence of random permutations. Zbl 0932.05001
Baik, Jinho; Deift, Percy; Johansson, Kurt
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.
1999
Inverse scattering on the line. Zbl 0388.34005
Deift, P.; Trubowitz, E.
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.
1999
Applications of a commutation formula. Zbl 0392.47013
Deift, P. A.
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
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.
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.
1998
Asymptotics for the Painlevé II equation. Zbl 0869.34047
Deift, P. A.; Zhou, X.
1995
Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032
Deift, P.; Nanda, T.; Tomei, C.
1983
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
1993
Inverse scattering and the Boussinesq equation. Zbl 0479.35074
Deift, P.; Tomei, C.; Trubowitz, E.
1982
Direct and inverse scattering on the line. Zbl 0679.34018
Beals, Richard; Deift, Percy; Tomei, Carlos
1988
Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026
Deift, P.; Simon, B.
1983
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
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.
1994
Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023
Deift, Percy; Gioev, Dimitri
2009
The Toda flow on a generic orbit is integrable. Zbl 0606.58020
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C.
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
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
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
1989
A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031
Deift, P.; Zhou, X.
1992
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022
Deift, Percy; Gioev, Dimitri
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
1986
Matrix factorizations and integrable systems. Zbl 0689.70006
Deift, P.; Li, L. C.; Tomei, C.
1989
Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014
Baik, Jinho; Deift, Percy; Strahov, Eugene
2003
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
2008
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
1998
On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems. Zbl 0344.47007
Deift, P.; Simon, B.
1976
Fredholm determinants, Jimbo-Miwa-Ueno $$\tau$$-functions, and representation theory. Zbl 1033.34089
Borodin, Alexei; Deift, Percy
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.
1978
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
1988
Integrable operators. Zbl 0920.35105
Deift, Percy
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
2001
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.
1998
Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
2007
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
2007
Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089
Deift, Percy; Zhou, Xin
2002
Toda flows with infinitely many variables. Zbl 0615.58016
Deift, P.; Li, L. C.; Tomei, C.
1985
Combinatorics and random matrix theory. Zbl 1342.05001
Baik, Jinho; Deift, Percy; Suidan, Toufic
2016
Nonlinear wave equations and constrained harmonic motion. Zbl 0435.35072
Deift, P.; Lund, F.; Trubowitz, E.
1980
Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data. Zbl 1251.35145
Deift, Percy; Park, Jungwoon
2011
The Toda shock problem. Zbl 0749.35054
Venakides, Stephanos; Deift, Percy; Oba, Roger
1991
Integrable systems and combinatorial theory. Zbl 1041.05004
Deift, Percy
2000
The Toda rarefaction problem. Zbl 0857.34025
Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin
1996
Universality for mathematical and physical systems. Zbl 1149.82012
Deift, Percy
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.
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.
2001
A time-dependent approach to the completeness of multiparticle quantum systems. Zbl 0354.47004
Deift, P.; Simon, B.
1977
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
2014
Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305
Deift, Percy
2008
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
1999
Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122
Deift, P. A.; Zhou, X.
1994
A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438
Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic
2006
On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004
Deift, P.; Nanda, T.
1984
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
2012
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
2015
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.
2000
An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035
Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan
2011
The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035
Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos
1991
Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013
Deift, Percy; Krasovsky, Igor; Vasilevska, Julia
2011
Universality in numerical computations with random data. Zbl 1355.65019
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas
2014
A priori $$L^p$$-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084
Deift, Percy; Zhou, Xin
2002
Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014
Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M.
2007
Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073
Deift, Percy; Zhou, Xin
1991
Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160
Deift, Percy
2017
How long does it take to compute the eigenvalues of a random symmetric matrix? Zbl 1326.65050
Pfrang, Christian W.; Deift, Percy; Menon, Govind
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.
1994
Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081
Deift, Percy; Sylvester, John
1981
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012
Deift, Percy; Trogdon, Thomas
2018
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
1993
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
2001
On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008
Menon, Govind; Trogdon, Thomas; Deift, Percy A.
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.
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
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
2011
Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions. Zbl 0770.34005
Deift, Percy; Li, Luen-Chau; Tomei, Carlos
1992
Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089
Deift, Percy; Trogdon, Thomas
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
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.
1994
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.
2000
Forced lattice vibrations. I. Zbl 0860.34004
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
1995
Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325
Deift, Percy
2007
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. Zbl 1099.30027
Deift, Percy; Östensson, Jörgen
2006
On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045
Deift, P. A.; Tomei, C.
1983
Forced lattice vibrations. II. Zbl 0860.34005
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
1995
Near integrable systems on the line. A case study – perturbation theory of the defocusing nonlinear Schrödinger equation. Zbl 0890.35138
Deift, Percy; Zhou, X.
1997
Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024
Deift, Percy; Ruskai, Mary Beth; Spitzer, Wolfgang
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
2007
Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1998
An identity among squares of eigenfunctions. Zbl 0479.34010
Deift, P.; Trubowitz, E.
1981
A monotonicity property for Toda-type flows. Zbl 0736.34074
Deift, P. A.; Rivera, S.; Tomei, C.; Watkins, D. S.
1991
Three lectures on “Fifty years of KdV: an integrable system”. Zbl 1461.37070
Deift, Percy A.
2019
Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043
Deift, P.; Li, L.-C.; Tomei, C.
1993
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
2018
Some remarks on the Korteweg-de Vries and Hill’s equations. Zbl 0487.35077
Deift, P.; Trubowitz, E.
1980
Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027
Conway, Thomas Oliver; Deift, Percy
2018
Integrable Hamiltonian systems. Zbl 0847.58042
Deift, Percy
1996
The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic. Zbl 1458.65028
Deift, Percy; Trogdon, Thomas
2021
Three lectures on “Fifty years of KdV: an integrable system”. Zbl 1461.37070
Deift, Percy A.
2019
Riemann-Hilbert problems. Zbl 1443.34097
Deift, Percy
2019
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012
Deift, Percy; Trogdon, Thomas
2018
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
2018
Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027
Conway, Thomas Oliver; Deift, Percy
2018
Universality in numerical computation with random data: case studies, analytical results and some speculations. Zbl 07040540
Deift, Percy; Trogdon, Thomas
2018
Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160
Deift, Percy
2017
Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089
Deift, Percy; Trogdon, Thomas
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
2017
Combinatorics and random matrix theory. Zbl 1342.05001
Baik, Jinho; Deift, Percy; Suidan, Toufic
2016
On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008
Menon, Govind; Trogdon, Thomas; Deift, Percy A.
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
2015
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
2014
Universality in numerical computations with random data. Zbl 1355.65019
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas
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
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
2013
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
2012
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
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
2011
An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035
Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan
2011
Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013
Deift, Percy; Krasovsky, Igor; Vasilevska, Julia
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
2011
Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023
Deift, Percy; Gioev, Dimitri
2009
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
2008
Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305
Deift, Percy
2008
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022
Deift, Percy; Gioev, Dimitri
2007
Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
2007
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
2007
Universality for mathematical and physical systems. Zbl 1149.82012
Deift, Percy
2007
Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014
Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M.
2007
Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325
Deift, Percy
2007
Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024
Deift, Percy; Ruskai, Mary Beth; Spitzer, Wolfgang
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
2007
On the proof of universality for orthogonal and symplectic ensembles in random matrix theory. Zbl 1139.15013
Costin, Ovidiu; Deift, Percy; Gioev, Dimitri
2007
A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438
Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic
2006
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. Zbl 1099.30027
Deift, Percy; Östensson, Jörgen
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
2003
Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014
Baik, Jinho; Deift, Percy; Strahov, Eugene
2003
Four lectures on random matrix theory. Zbl 1035.82020
Deift, Percy
2003
Fredholm determinants, Jimbo-Miwa-Ueno $$\tau$$-functions, and representation theory. Zbl 1033.34089
Borodin, Alexei; Deift, Percy
2002
Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089
Deift, Percy; Zhou, Xin
2002
A priori $$L^p$$-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084
Deift, Percy; Zhou, Xin
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
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.
2001
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
2001
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033
Deift, Percy
2000
Integrable systems and combinatorial theory. Zbl 1041.05004
Deift, Percy
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.
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.
2000
On the distribution of the length of the longest increasing subsequence of random permutations. Zbl 0932.05001
Baik, Jinho; Deift, Percy; Johansson, Kurt
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.
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.
1999
Integrable operators. Zbl 0920.35105
Deift, Percy
1999
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
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.
1998
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
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.
1998
Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
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.
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
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.
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.
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.
1997
The Toda rarefaction problem. Zbl 0857.34025
Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin
1996
Integrable Hamiltonian systems. Zbl 0847.58042
Deift, Percy
1996
Forced lattice vibrations. Zbl 0941.70513
Deift, P.; Kriecherbauer, Thomas; Venakides, Stephanos
1996
Asymptotics for the Painlevé II equation. Zbl 0869.34047
Deift, P. A.; Zhou, X.
1995
Forced lattice vibrations. I. Zbl 0860.34004
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
1995
Forced lattice vibrations. II. Zbl 0860.34005
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
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.
1994
Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122
Deift, P. A.; Zhou, X.
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.
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.
1994
Asymptotics for the Painlevé II equation: Announcement of result. Zbl 0816.34035
Deift, P. A.; Zhou, X.
1994
A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Zbl 0771.35042
Deift, P.; Zhou, X.
1993
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
1993
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
1993
Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043
Deift, P.; Li, L.-C.; Tomei, C.
1993
A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031
Deift, P.; Zhou, X.
1992
Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions. Zbl 0770.34005
Deift, Percy; Li, Luen-Chau; Tomei, Carlos
1992
Continuous versions of some discrete maps or what goes on when the lights go out. Zbl 0809.58020
Deift, Percy
1992
The Toda shock problem. Zbl 0749.35054
Venakides, Stephanos; Deift, Percy; Oba, Roger
1991
The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035
Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos
1991
Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073
Deift, Percy; Zhou, Xin
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
1991
A monotonicity property for Toda-type flows. Zbl 0736.34074
Deift, P. A.; Rivera, S.; Tomei, C.; Watkins, D. S.
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
1989
Matrix factorizations and integrable systems. Zbl 0689.70006
Deift, P.; Li, L. C.; Tomei, C.
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.
1989
Direct and inverse scattering on the line. Zbl 0679.34018
Beals, Richard; Deift, Percy; Tomei, Carlos
1988
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
1988
The Toda flow on a generic orbit is integrable. Zbl 0606.58020
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C.
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
1986
Toda flows with infinitely many variables. Zbl 0615.58016
Deift, P.; Li, L. C.; Tomei, C.
1985
On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004
Deift, P.; Nanda, T.
1984
Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032
Deift, P.; Nanda, T.; Tomei, C.
1983
Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026
Deift, P.; Simon, B.
1983
On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045
Deift, P. A.; Tomei, C.
1983
Inverse scattering and the Boussinesq equation. Zbl 0479.35074
Deift, P.; Tomei, C.; Trubowitz, E.
1982
...and 11 more Documents
all top 5

### Cited by 2,202 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 Claeys, Tom 22 Lubinsky, Doron S. 22 Xu, Shuaixia 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 Geng, Xianguo 18 Sakhnovich, Alexander L. 18 Zhao, Yuqiu 17 Baik, Jinho 17 Boutet de Monvel, Anne Marie 17 Dai, Dan 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 Charlier, Christophe 14 Strahov, Eugene 14 Zhang, Lun 14 Zhou, Xin 13 Bothner, Thomas 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 Basu, Riddhipratim 8 Chu, Moody T. 8 Delvaux, Steven 8 Hammond, Alan 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 ...and 2,102 more Authors
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### Cited in 323 Serials

 218 Communications in Mathematical Physics 177 Journal of Mathematical Physics 77 Journal of Approximation Theory 76 Journal of Mathematical Analysis and Applications 67 Physica D 64 Journal of Statistical Physics 56 Journal of Functional Analysis 53 Journal of Differential Equations 48 Communications on Pure and Applied Mathematics 45 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 22 Annales Henri Poincaré 19 Journal d’Analyse Mathématique 19 Analysis and Applications (Singapore) 18 Proceedings of the American Mathematical Society 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 Applied Mathematics Letters 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 Journal of Mathematical Sciences (New York) 12 Discrete and Continuous Dynamical Systems 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 11 Foundations of Computational Mathematics 10 Applicable Analysis 10 Stochastic Processes and their Applications 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
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### Cited in 59 Fields

 875 Partial differential equations (35-XX) 600 Probability theory and stochastic processes (60-XX) 449 Dynamical systems and ergodic theory (37-XX) 411 Linear and multilinear algebra; matrix theory (15-XX) 398 Ordinary differential equations (34-XX) 374 Quantum theory (81-XX) 360 Statistical mechanics, structure of matter (82-XX) 337 Operator theory (47-XX) 264 Special functions (33-XX) 182 Harmonic analysis on Euclidean spaces (42-XX) 157 Numerical analysis (65-XX) 153 Functions of a complex variable (30-XX) 141 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) 51 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) 39 Potential theory (31-XX) 32 Differential geometry (53-XX) 29 Mechanics of deformable solids (74-XX) 28 Computer science (68-XX) 27 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)

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