Edit Profile Deift, Percy A. Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 0997.47033Deift, Percy 374 2000 A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Zbl 0771.35042Deift, P.; Zhou, X. 367 1993 On the distribution of the length of the longest increasing subsequence of random permutations. Zbl 0932.05001Baik, 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 0944.42013Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. 278 1999 Inverse scattering on the line. Zbl 0388.34005Deift, P.; Trubowitz, E. 240 1979 Strong asymptotics of orthogonal polynomials with respect to exponential weights. Zbl 1026.42024Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. 226 1999 Applications of a commutation formula. Zbl 0392.47013Deift, P. A. 98 1978 Direct and inverse scattering on the line. Zbl 0679.34018Beals, 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 0936.47028Deift, 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 0873.65111Deift, P.; Vanakides, S.; Zhou, X. 75 1997 New results on the equilibrium measure for logarithmic potentials in the presence of an external field. Zbl 0918.31001Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R. 72 1998 Asymptotics for the Painlevé II equation. Zbl 0869.34047Deift, P. A.; Zhou, X. 68 1995 Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032Deift, P.; Nanda, T.; Tomei, C. 66 1983 Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026Deift, P.; Simon, B. 60 1983 Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132Deift, 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 0797.35143Deift, P.; Venakides, S.; Zhou, X. 56 1994 Inverse scattering and the Boussinesq equation. Zbl 0479.35074Deift, P.; Tomei, C.; Trubowitz, E. 56 1982 The Toda flow on a generic orbit is integrable. Zbl 0606.58020Deift, P.; Li, L. C.; Nanda, T.; Tomei, C. 55 1986 Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023Deift, Percy; Gioev, Dimitri 54 2009 Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006Deift, Percy; Its, Alexander; Krasovsky, Igor 53 2011 Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H). Zbl 0676.47032Alama, 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 1292.47016Deift, Percy; Its, Alexander; Krasovsky, Igor 48 2013 A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031Deift, P.; Zhou, X. 47 1992 On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H). Zbl 0594.34022Deift, Percy A.; Hempel, Rainer 44 1986 Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space. Zbl 1038.35113Deift, Percy; Zhou, Xin 42 2003 Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022Deift, Percy; Gioev, Dimitri 40 2007 A continuum limit of Toda lattice. Zbl 0946.37035Deift, P.; McLaughlin, K. T.-R. 40 1998 Matrix factorizations and integrable systems. Zbl 0689.70006Deift, P.; Li, L. C.; Tomei, C. 38 1989 Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV. Zbl 0419.35079Deift, 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 0344.47007Deift, P.; Simon, B. 35 1976 Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014Baik, Jinho; Deift, Percy; Strahov, Eugene 34 2003 Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089Borodin, Alexei; Deift, Percy 34 2002 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005Deift, P.; Its, A.; Krasovsky, I. 30 2008 Scattering on the line - an overview. Zbl 0699.34016Beals, R.; Deift, P.; Tomei, C. 30 1988 Optimal tail estimates for directed last passage site percolation with geometric random variables. Zbl 1016.15022Baik, 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 1116.15019Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. 26 2007 Integrable operators. Zbl 0920.35105Deift, 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 0894.35097Deift, P.; Venakides, S.; Zhou, X. 26 1998 The Toda shock problem. Zbl 0749.35054Venakides, Stephanos; Deift, Percy; Oba, Roger 25 1991 Nonlinear wave equations and constrained harmonic motion. Zbl 0435.35072Deift, P.; Lund, F.; Trubowitz, E. 25 1980 Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021Deift, Percy; Gioev, Dimitri 24 2007 Toda flows with infinitely many variables. Zbl 0615.58016Deift, P.; Li, L. C.; Tomei, C. 24 1985 Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089Deift, Percy; Zhou, Xin 23 2002 Integrable systems and combinatorial theory. Zbl 1041.05004Deift, Percy 21 2000 The Toda rarefaction problem. Zbl 0857.34025Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin 21 1996 Asymptotics for polynomials orthogonal with respect to varying exponential weights. Zbl 0897.42015Deift, 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 1251.35145Deift, Percy; Park, Jungwoon 19 2011 Universality for mathematical and physical systems. Zbl 1149.82012Deift, Percy 19 2007 Combinatorics and random matrix theory. Zbl 1342.05001Baik, Jinho; Deift, Percy; Suidan, Toufic 18 2016 On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218Deift, Percy; Its, Alexander; Krasovsky, Igor 18 2014 A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. Zbl 1041.42018Deift, 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 0354.47004Deift, P.; Simon, B. 18 1977 Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305Deift, Percy 17 2008 On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075Deift, P.; Its, A.; Kapaev, A.; Zhou, X. 17 1999 A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic 16 2006 Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122Deift, 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 1321.82027Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 14 2015 An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035Deift, 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 0963.05133Baik, J.; Deift, P.; Johansson, K. 14 2000 The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos 14 1991 On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004Deift, P.; Nanda, T. 14 1984 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029Deift, P.; Its, A.; Krasovsky, I. 12 2012 Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M. 12 2007 Universality in numerical computations with random data. Zbl 1355.65019Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas 11 2014 Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073Deift, Percy; Zhou, Xin 11 1991 A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084Deift, Percy; Zhou, Xin 10 2002 How long does it take to compute the eigenvalues of a random symmetric matrix? Zbl 1326.65050Pfrang, Christian W.; Deift, Percy; Menon, Govind 9 2014 Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013Deift, Percy; Krasovsky, Igor; Vasilevska, Julia 9 2011 Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081Deift, Percy; Sylvester, John 9 1981 Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012Deift, Percy; Trogdon, Thomas 8 2018 A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026Baik, 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 0849.35115Deift, 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 0806.47042Alama, S.; Avellaneda, M.; Deift, P. A.; Hempel, R. 8 1994 The inverse scattering transform on the line. Zbl 0926.35129Beals, 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 0755.58050Deift, 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 0820.58030Deift, P. A.; Li, L. C. 8 1989 Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160Deift, Percy 7 2017 On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008Menon, Govind; Trogdon, Thomas; Deift, Percy A. 7 2016 Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions. Zbl 0770.34005Deift, Percy; Li, Luen-Chau; Tomei, Carlos 7 1992 Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089Deift, 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 1382.82014Bothner, 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 1216.35135Deift, Percy; Park, Jungwoon 6 2011 Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325Deift, Percy 6 2007 Addendum to “On the distribution of the length of the second row of a Young diagram under Plancherel measure”. Zbl 0971.05110Baik, J.; Deift, P.; Johansson, K. 5 2000 Forced lattice vibrations. II. Zbl 0860.34005Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos 5 1995 Forced lattice vibrations. I. Zbl 0860.34004Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos 5 1995 Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024Deift, 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 1110.00015Gesztesy, 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 1099.30027Deift, Percy; Östensson, Jörgen 4 2006 Near integrable systems on the line. A case study – perturbation theory of the defocusing nonlinear Schrödinger equation. Zbl 0890.35138Deift, Percy; Zhou, X. 4 1997 On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045Deift, P. A.; Tomei, C. 4 1983 Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. 3 1998 Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043Deift, P.; Li, L.-C.; Tomei, C. 3 1993 A monotonicity property for Toda-type flows. Zbl 0736.34074Deift, P. A.; Rivera, S.; Tomei, C.; Watkins, D. S. 3 1991 An identity among squares of eigenfunctions. Zbl 0479.34010Deift, P.; Trubowitz, E. 3 1981 Three lectures on “Fifty years of KdV: an integrable system”. Zbl 07215718Deift, Percy A. 2 2019 The sine process under the influence of a varying potential. Zbl 1404.60010Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 2 2018 Integrable Hamiltonian systems. Zbl 0847.58042Deift, Percy 2 1996 Asymptotics for the Painlevé II equation: Announcement of result. Zbl 0816.34035Deift, P. A.; Zhou, X. 2 1994 Some remarks on the Korteweg-de Vries and Hill’s equations. Zbl 0487.35077Deift, P.; Trubowitz, E. 2 1980 Three lectures on “Fifty years of KdV: an integrable system”. Zbl 07215718Deift, Percy A. 2 2019 Riemann-Hilbert problems. Zbl 1443.34097Deift, Percy 1 2019 Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012Deift, Percy; Trogdon, Thomas 8 2018 The sine process under the influence of a varying potential. Zbl 1404.60010Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 2 2018 Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027Conway, Thomas Oliver; Deift, Percy 1 2018 Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160Deift, Percy 7 2017 Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089Deift, 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 1382.82014Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 6 2017 Combinatorics and random matrix theory. Zbl 1342.05001Baik, Jinho; Deift, Percy; Suidan, Toufic 18 2016 On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008Menon, 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 1321.82027Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 14 2015 On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218Deift, Percy; Its, Alexander; Krasovsky, Igor 18 2014 Universality in numerical computations with random data. Zbl 1355.65019Deift, 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 1326.65050Pfrang, 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 1292.47016Deift, Percy; Its, Alexander; Krasovsky, Igor 48 2013 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029Deift, P.; Its, A.; Krasovsky, I. 12 2012 Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006Deift, 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 1251.35145Deift, Percy; Park, Jungwoon 19 2011 An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan 14 2011 Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013Deift, 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 1216.35135Deift, Percy; Park, Jungwoon 6 2011 Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023Deift, Percy; Gioev, Dimitri 54 2009 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005Deift, P.; Its, A.; Krasovsky, I. 30 2008 Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305Deift, Percy 17 2008 Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022Deift, Percy; Gioev, Dimitri 40 2007 The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. 26 2007 Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021Deift, Percy; Gioev, Dimitri 24 2007 Universality for mathematical and physical systems. Zbl 1149.82012Deift, Percy 19 2007 Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M. 12 2007 Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325Deift, Percy 6 2007 Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024Deift, 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 1110.00015Gesztesy, 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 1139.15013Costin, Ovidiu; Deift, Percy; Gioev, Dimitri 1 2007 A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic 16 2006 A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. Zbl 1099.30027Deift, Percy; Östensson, Jörgen 4 2006 Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space. Zbl 1038.35113Deift, Percy; Zhou, Xin 42 2003 Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014Baik, Jinho; Deift, Percy; Strahov, Eugene 34 2003 Four lectures on random matrix theory. Zbl 1035.82020Deift, Percy 1 2003 Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089Borodin, Alexei; Deift, Percy 34 2002 Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089Deift, Percy; Zhou, Xin 23 2002 A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084Deift, Percy; Zhou, Xin 10 2002 Optimal tail estimates for directed last passage site percolation with geometric random variables. Zbl 1016.15022Baik, Jinho; Deift, Percy; McLaughlin, Kenneth T.-R.; Miller, Peter; Zhou, Xin 27 2001 A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. Zbl 1041.42018Deift, 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 1005.47026Baik, Jinho; Deift, Percy; Rains, Eric 8 2001 Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033Deift, Percy 374 2000 Integrable systems and combinatorial theory. Zbl 1041.05004Deift, Percy 21 2000 On the distribution of the length of the second row of a Young diagram under Plancherel measure. Zbl 0963.05133Baik, 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 0971.05110Baik, J.; Deift, P.; Johansson, K. 5 2000 On the distribution of the length of the longest increasing subsequence of random permutations. Zbl 0932.05001Baik, 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 0944.42013Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. 278 1999 Strong asymptotics of orthogonal polynomials with respect to exponential weights. Zbl 1026.42024Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. 226 1999 Integrable operators. Zbl 0920.35105Deift, Percy 26 1999 On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075Deift, 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 0918.31001Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R. 72 1998 A continuum limit of Toda lattice. Zbl 0946.37035Deift, 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 0894.35097Deift, P.; Venakides, S.; Zhou, X. 26 1998 Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011Deift, 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 0891.31001Deift, 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 0936.47028Deift, 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 0873.65111Deift, P.; Vanakides, S.; Zhou, X. 75 1997 Asymptotics for polynomials orthogonal with respect to varying exponential weights. Zbl 0897.42015Deift, 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 0890.35138Deift, Percy; Zhou, X. 4 1997 The Toda rarefaction problem. Zbl 0857.34025Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin 21 1996 Integrable Hamiltonian systems. Zbl 0847.58042Deift, Percy 2 1996 Forced lattice vibrations. Zbl 0941.70513Deift, P.; Kriecherbauer, Thomas; Venakides, Stephanos 1 1996 Asymptotics for the Painlevé II equation. Zbl 0869.34047Deift, P. A.; Zhou, X. 68 1995 Forced lattice vibrations. II. Zbl 0860.34005Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos 5 1995 Forced lattice vibrations. I. Zbl 0860.34004Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos 5 1995 The collisionless shock region for the long-time behavior of solutions of the KdV equation. Zbl 0797.35143Deift, P.; Venakides, S.; Zhou, X. 56 1994 Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122Deift, P. A.; Zhou, X. 16 1994 Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field. Zbl 0849.35115Deift, 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 0806.47042Alama, S.; Avellaneda, M.; Deift, P. A.; Hempel, R. 8 1994 Asymptotics for the Painlevé II equation: Announcement of result. Zbl 0816.34035Deift, P. A.; Zhou, X. 2 1994 A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Zbl 0771.35042Deift, P.; Zhou, X. 367 1993 Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132Deift, P. A.; Its, A. R.; Zhou, X. 59 1993 The inverse scattering transform on the line. Zbl 0926.35129Beals, R.; Deift, P.; Zhou, X. 8 1993 Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043Deift, P.; Li, L.-C.; Tomei, C. 3 1993 A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031Deift, P.; Zhou, X. 47 1992 Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions. Zbl 0770.34005Deift, Percy; Li, Luen-Chau; Tomei, Carlos 7 1992 Continuous versions of some discrete maps or what goes on when the lights go out. Zbl 0809.58020Deift, Percy 1 1992 The Toda shock problem. Zbl 0749.35054Venakides, Stephanos; Deift, Percy; Oba, Roger 25 1991 The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos 14 1991 Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073Deift, 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 0755.58050Deift, Percy; Li, Luen-Chau 8 1991 A monotonicity property for Toda-type flows. Zbl 0736.34074Deift, 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 0676.47032Alama, Stanley; Deift, Percy A.; Hempel, Rainer 50 1989 Matrix factorizations and integrable systems. Zbl 0689.70006Deift, 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 0820.58030Deift, P. A.; Li, L. C. 8 1989 Direct and inverse scattering on the line. Zbl 0679.34018Beals, Richard; Deift, Percy; Tomei, Carlos 86 1988 Scattering on the line - an overview. Zbl 0699.34016Beals, R.; Deift, P.; Tomei, C. 30 1988 Inverse scattering for self-adjoint \(n^{\mathrm{th}}\) order differential operators on the line. Zbl 0657.34027Beals, R.; Tomei, Carlos; Deift, Percy 1 1987 The Toda flow on a generic orbit is integrable. Zbl 0606.58020Deift, 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 0594.34022Deift, Percy A.; Hempel, Rainer 44 1986 Toda flows with infinitely many variables. Zbl 0615.58016Deift, P.; Li, L. C.; Tomei, C. 24 1985 On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004Deift, P.; Nanda, T. 14 1984 Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032Deift, P.; Nanda, T.; Tomei, C. 66 1983 Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026Deift, P.; Simon, B. 60 1983 On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045Deift, P. A.; Tomei, C. 4 1983 Inverse scattering and the Boussinesq equation. Zbl 0479.35074Deift, P.; Tomei, C.; Trubowitz, E. 56 1982 Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081Deift, Percy; Sylvester, John 9 1981 ...and 10 more Documents all cited Publications top 5 cited Publications 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. 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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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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