# zbMATH — the first resource for mathematics

## Deift, Percy A.

Compute Distance To:
 Author ID: 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

#### Co-Authors

 14 single-authored 26 Zhou, Xin 16 Tomei, Carlos 14 Its, Alexander Rudolfovich 12 Kriecherbauer, Thomas 11 Li, Luen-Chau 11 Venakides, Stephanos 10 Krasovsky, Igor V. 9 McLaughlin, Kenneth D. T.-R. 8 Baik, Jinho 7 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 Costin, Ovidiu 1 Forrester, Peter J. 1 Fröhlich, Jürg Martin 1 Güntürk, Cemalettin Sinan 1 Harrell, Evans M. II 1 Hunziker, Willi 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 Rivera, Sheyla L. 1 Rosen, Lon M. 1 Ruskai, Mary Beth 1 Spitzer, Wolfgang Ludwig 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
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
all top 5

#### Fields

 39 Partial differential equations (35-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 33 Ordinary differential equations (34-XX) 26 Dynamical systems and ergodic theory (37-XX) 24 Probability theory and stochastic processes (60-XX) 18 Operator theory (47-XX) 15 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

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
2000
A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Zbl 0771.35042
Deift, P.; Zhou, X.
1993
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
Direct and inverse scattering on the line. Zbl 0679.34018
Beals, Richard; Deift, Percy; Tomei, Carlos
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
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
Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026
Deift, P.; Simon, B.
1983
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
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.
1994
Inverse scattering and the Boussinesq equation. Zbl 0479.35074
Deift, P.; Tomei, C.; Trubowitz, E.
1982
The Toda flow on a generic orbit is integrable. Zbl 0606.58020
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C.
1986
Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023
Deift, Percy; Gioev, Dimitri
2009
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
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
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
2013
A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031
Deift, P.; Zhou, X.
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
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
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022
Deift, Percy; Gioev, Dimitri
2007
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
1998
Matrix factorizations and integrable systems. Zbl 0689.70006
Deift, P.; Li, L. C.; Tomei, C.
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.
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.
1976
Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014
Baik, Jinho; Deift, Percy; Strahov, Eugene
2003
Fredholm determinants, Jimbo-Miwa-Ueno $$\tau$$-functions, and representation theory. Zbl 1033.34089
Borodin, Alexei; Deift, Percy
2002
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
2008
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
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
2001
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
2007
Integrable operators. Zbl 0920.35105
Deift, Percy
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.
1998
The Toda shock problem. Zbl 0749.35054
Venakides, Stephanos; Deift, Percy; Oba, Roger
1991
Nonlinear wave equations and constrained harmonic motion. Zbl 0435.35072
Deift, P.; Lund, F.; Trubowitz, E.
1980
Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
2007
Toda flows with infinitely many variables. Zbl 0615.58016
Deift, P.; Li, L. C.; Tomei, C.
1985
Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089
Deift, Percy; Zhou, Xin
2002
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
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
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
Universality for mathematical and physical systems. Zbl 1149.82012
Deift, Percy
2007
Combinatorics and random matrix theory. Zbl 1342.05001
Baik, Jinho; Deift, Percy; Suidan, Toufic
2016
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
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.
2001
A time-dependent approach to the completeness of multiparticle quantum systems. Zbl 0354.47004
Deift, P.; Simon, B.
1977
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
A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438
Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic
2006
Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122
Deift, P. A.; Zhou, X.
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
2015
An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035
Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan
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.
2000
The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035
Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos
1991
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
Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014
Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M.
2007
Universality in numerical computations with random data. Zbl 1355.65019
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas
2014
Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073
Deift, Percy; Zhou, Xin
1991
A priori $$L^p$$-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084
Deift, Percy; Zhou, Xin
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
2014
Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013
Deift, Percy; Krasovsky, Igor; Vasilevska, Julia
2011
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
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
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.
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
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
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
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.
1989
Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160
Deift, Percy
2017
On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008
Menon, Govind; Trogdon, Thomas; Deift, Percy A.
2016
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 solutions of the NLS equation with a delta potential and even initial data: announcement of results. Zbl 1216.35135
Deift, Percy; Park, Jungwoon
2011
Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325
Deift, Percy
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.
2000
Forced lattice vibrations. II. Zbl 0860.34005
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
1995
Forced lattice vibrations. I. Zbl 0860.34004
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
1995
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
Gesztesy, Fritz (ed.); Deift, Percy (ed.); Galvez, Cherie (ed.); Perry, Peter (ed.); Schlag, Wilhelm (ed.)
2007
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. Zbl 1099.30027
Deift, Percy; Östensson, Jörgen
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.
1997
On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045
Deift, P. A.; Tomei, C.
1983
Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1998
Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043
Deift, P.; Li, L.-C.; Tomei, C.
1993
A monotonicity property for Toda-type flows. Zbl 0736.34074
Deift, P. A.; Rivera, S.; Tomei, C.; Watkins, D. S.
1991
An identity among squares of eigenfunctions. Zbl 0479.34010
Deift, P.; Trubowitz, E.
1981
Three lectures on “Fifty years of KdV: an integrable system”. Zbl 07215718
Deift, Percy A.
2019
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
2018
Integrable Hamiltonian systems. Zbl 0847.58042
Deift, Percy
1996
Asymptotics for the Painlevé II equation: Announcement of result. Zbl 0816.34035
Deift, P. A.; Zhou, X.
1994
Some remarks on the Korteweg-de Vries and Hill’s equations. Zbl 0487.35077
Deift, P.; Trubowitz, E.
1980
Three lectures on “Fifty years of KdV: an integrable system”. Zbl 07215718
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
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
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 in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021
Deift, Percy; Gioev, Dimitri
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
Gesztesy, Fritz (ed.); Deift, Percy (ed.); Galvez, Cherie (ed.); Perry, Peter (ed.); Schlag, Wilhelm (ed.)
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. II. Zbl 0860.34005
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
1995
Forced lattice vibrations. I. Zbl 0860.34004
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
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
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
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
Inverse scattering for self-adjoint $$n^{\mathrm{th}}$$ order differential operators on the line. Zbl 0657.34027
Beals, R.; Tomei, Carlos; Deift, Percy
1987
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
Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081
Deift, Percy; Sylvester, John
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
all top 5

#### 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
all top 5

#### 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)

#### Wikidata Timeline

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