Edit Profile (opens in new tab) Deift, Percy A. Compute Distance To: Compute 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 1,677 Co-Co-Authors all top 5 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 all top 5 Serials 22 Communications on Pure and Applied Mathematics 11 Communications in Mathematical Physics 5 IMRN. International Mathematics Research Notices 3 Journal of Mathematical Physics 3 SIAM Journal on Numerical Analysis 3 Proceedings of the National Academy of Sciences of the United States of America 3 Bulletin of the American Mathematical Society. New Series 3 Annals of Mathematics. Second Series 2 Journal of Statistical Physics 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Journal of Functional Analysis 2 Memoirs of the American Mathematical Society 2 Constructive Approximation 2 Geometric and Functional Analysis. GAFA 2 Notices of the American Mathematical Society 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of Symposia in Pure Mathematics 2 Courant Lecture Notes in Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Acta Mathematica 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Quarterly of Applied Mathematics 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Matemática Contemporânea 1 Advances in Theoretical and Mathematical Physics 1 Quantum Information Processing 1 IMRP. International Mathematics Research Papers 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Graduate Studies in Mathematics 1 Lectures in Applied Mathematics 1 Mathematical Sciences Research Institute Publications 1 Mathematical Surveys and Monographs 1 Pure and Applied Functional Analysis all top 5 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) 7 Mechanics of particles and systems (70-XX) 6 General and overarching topics; collections (00-XX) 6 Combinatorics (05-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 113 Publications have been cited 4,736 times in 2,674 Documents Cited by ▼ Year ▼ A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Zbl 0771.35042Deift, P.; Zhou, X. 478 1993 Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033Deift, Percy 365 2000 On the distribution of the length of the longest increasing subsequence of random permutations. Zbl 0932.05001Baik, Jinho; Deift, Percy; Johansson, Kurt 362 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. 310 1999 Inverse scattering on the line. Zbl 0388.34005Deift, P.; Trubowitz, E. 282 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. 256 1999 Applications of a commutation formula. Zbl 0392.47013Deift, P. A. 106 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 0936.47028Deift, Percy A.; Its, Alexander R.; Zhou, Xin 98 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. 85 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. 85 1998 Asymptotics for the Painlevé II equation. Zbl 0869.34047Deift, P. A.; Zhou, X. 81 1995 Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132Deift, P. A.; Its, A. R.; Zhou, X. 76 1993 Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006Deift, Percy; Its, Alexander; Krasovsky, Igor 72 2011 Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032Deift, P.; Nanda, T.; Tomei, C. 71 1983 Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space. Zbl 1038.35113Deift, Percy; Zhou, Xin 71 2003 Inverse scattering and the Boussinesq equation. Zbl 0479.35074Deift, P.; Tomei, C.; Trubowitz, E. 70 1982 Direct and inverse scattering on the line. Zbl 0679.34018Beals, Richard; Deift, Percy; Tomei, Carlos 68 1988 The collisionless shock region for the long-time behavior of solutions of the KdV equation. Zbl 0797.35143Deift, P.; Venakides, S.; Zhou, X. 68 1994 Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023Deift, Percy; Gioev, Dimitri 67 2009 Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026Deift, P.; Simon, B. 66 1983 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 62 2013 The Toda flow on a generic orbit is integrable. Zbl 0606.58020Deift, P.; Li, L. C.; Nanda, T.; Tomei, C. 59 1986 Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H). Zbl 0676.47032Alama, Stanley; Deift, Percy A.; Hempel, Rainer 58 1989 A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031Deift, P.; Zhou, X. 57 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 50 1986 Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022Deift, Percy; Gioev, Dimitri 50 2007 Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014Baik, Jinho; Deift, Percy; Strahov, Eugene 44 2003 Matrix factorizations and integrable systems. Zbl 0689.70006Deift, P.; Li, L. C.; Tomei, C. 44 1989 A continuum limit of Toda lattice. Zbl 0946.37035Deift, P.; McLaughlin, K. T.-R. 42 1998 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005Deift, P.; Its, A.; Krasovsky, I. 42 2008 On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems. Zbl 0344.47007Deift, P.; Simon, B. 39 1976 Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV. Zbl 0419.35079Deift, P.; Hunziker, W.; Simon, B.; Vock, E. 39 1978 Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089Borodin, Alexei; Deift, Percy 38 2002 Scattering on the line - an overview. Zbl 0699.34016Beals, R.; Deift, P.; Tomei, C. 37 1988 Integrable operators. Zbl 0920.35105Deift, Percy 35 1999 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 34 2001 Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data. Zbl 1251.35145Deift, Percy; Park, Jungwoon 32 2011 Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089Deift, Percy; Zhou, Xin 29 2002 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. 29 1998 The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. 28 2007 Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021Deift, Percy; Gioev, Dimitri 28 2007 Combinatorics and random matrix theory. Zbl 1342.05001Baik, Jinho; Deift, Percy; Suidan, Toufic 28 2016 Nonlinear wave equations and constrained harmonic motion. Zbl 0435.35072Deift, P.; Lund, F.; Trubowitz, E. 26 1980 The Toda shock problem. Zbl 0749.35054Venakides, Stephanos; Deift, Percy; Oba, Roger 25 1991 Integrable systems and combinatorial theory. Zbl 1041.05004Deift, Percy 25 2000 Toda flows with infinitely many variables. Zbl 0615.58016Deift, P.; Li, L. C.; Tomei, C. 25 1985 Universality for mathematical and physical systems. Zbl 1149.82012Deift, Percy 25 2007 Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122Deift, P. A.; Zhou, X. 24 1994 The Toda rarefaction problem. Zbl 0857.34025Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin 23 1996 Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305Deift, Percy 23 2008 On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218Deift, Percy; Its, Alexander; Krasovsky, Igor 22 2014 Asymptotics for polynomials orthogonal with respect to varying exponential weights. Zbl 0897.42015Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. 21 1997 A time-dependent approach to the completeness of multiparticle quantum systems. Zbl 0354.47004Deift, P.; Simon, B. 21 1977 A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic 21 2006 A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. Zbl 1041.42018Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. 20 2001 On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075Deift, P.; Its, A.; Kapaev, A.; Zhou, X. 19 1999 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 19 2015 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. 16 2000 An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan 16 2011 On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004Deift, P.; Nanda, T. 15 1984 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029Deift, P.; Its, A.; Krasovsky, I. 15 2012 Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013Deift, Percy; Krasovsky, Igor; Vasilevska, Julia 14 2011 Universality in numerical computations with random data. Zbl 1355.65019Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas 14 2014 Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160Deift, Percy 14 2017 The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos 13 1991 A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084Deift, Percy; Zhou, Xin 12 2002 Universality for orthogonal and symplectic Laguerre-type ensembles. Zbl 1136.15014Deift, P.; Gioev, D.; Kriecherbauer, T.; Vanlessen, M. 12 2007 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. 11 1994 Direct and inverse scattering on the line with arbitrary singularities. Zbl 0734.34073Deift, Percy; Zhou, Xin 11 1991 How long does it take to compute the eigenvalues of a random symmetric matrix? Zbl 1326.65050Pfrang, Christian W.; Deift, Percy; Menon, Govind 10 2014 A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026Baik, Jinho; Deift, Percy; Rains, Eric 10 2001 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 9 1991 The inverse scattering transform on the line. Zbl 0926.35129Beals, R.; Deift, P.; Zhou, X. 9 1993 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 9 2011 Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012Deift, Percy; Trogdon, Thomas 9 2018 Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081Deift, Percy; Sylvester, John 9 1981 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 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 8 2017 On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008Menon, Govind; Trogdon, Thomas; Deift, Percy A. 8 2016 Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field. Zbl 0849.35115Deift, P.; Zhou, X. 7 1994 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 7 2017 Riemann-Hilbert methods in the theory of orthogonal polynomials. Zbl 1134.42325Deift, Percy 6 2007 Forced lattice vibrations. I. Zbl 0860.34004Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos 5 1995 Forced lattice vibrations. II. Zbl 0860.34005Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos 5 1995 Addendum to “On the distribution of the length of the second row of a Young diagram under Plancherel measure”. Zbl 0971.05110Baik, J.; Deift, P.; Johansson, K. 5 2000 On the determinant of the adjacency matrix for a planar sublattice. Zbl 0532.05045Deift, P. A.; Tomei, C. 4 1983 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 A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. Zbl 1099.30027Deift, Percy; Östensson, Jörgen 4 2006 Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015 4 2007 Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024Deift, Percy; Ruskai, Mary Beth; Spitzer, Wolfgang 4 2007 Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. 3 1998 Random matrix theory, interacting particle systems and integrable systems. Zbl 1318.81009 3 2014 A monotonicity property for Toda-type flows. Zbl 0736.34074Deift, P. A.; Rivera, S.; Tomei, C.; Watkins, D. S. 3 1991 Symplectic aspects of some eigenvalue algorithms. Zbl 0827.65043Deift, P.; Li, L.-C.; Tomei, C. 3 1993 Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027Conway, Thomas Oliver; Deift, Percy 3 2018 The sine process under the influence of a varying potential. Zbl 1404.60010Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 3 2018 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 1461.37070Deift, Percy A. 3 2019 Integrable Hamiltonian systems. Zbl 0847.58042Deift, Percy 2 1996 Harold Widom’s work in random matrix theory. Zbl 1486.60011Corwin, Ivan Z.; Deift, Percy A.; Its, Alexander R. 1 2022 The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic. Zbl 1458.65028Deift, Percy; Trogdon, Thomas 1 2021 Three lectures on “Fifty years of KdV: an integrable system”. Zbl 1461.37070Deift, Percy A. 3 2019 Riemann-Hilbert problems. Zbl 1443.34097Deift, Percy 2 2019 Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. Zbl 1454.60012Deift, Percy; Trogdon, Thomas 9 2018 Asymptotics of polynomials orthogonal with respect to a logarithmic weight. Zbl 1391.33027Conway, Thomas Oliver; Deift, Percy 3 2018 The sine process under the influence of a varying potential. Zbl 1404.60010Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 3 2018 Universality in numerical computation with random data: case studies, analytical results and some speculations. Zbl 07040540Deift, Percy; Trogdon, Thomas 1 2018 Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160Deift, Percy 14 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 8 2017 Universality for eigenvalue algorithms on sample covariance matrices. Zbl 1378.65089Deift, Percy; Trogdon, Thomas 7 2017 Combinatorics and random matrix theory. Zbl 1342.05001Baik, Jinho; Deift, Percy; Suidan, Toufic 28 2016 On the condition number of the critically-scaled Laguerre unitary ensemble. Zbl 1335.60008Menon, Govind; Trogdon, Thomas; Deift, Percy A. 8 2016 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 19 2015 On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218Deift, Percy; Its, Alexander; Krasovsky, Igor 22 2014 Universality in numerical computations with random data. Zbl 1355.65019Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas 14 2014 How long does it take to compute the eigenvalues of a random symmetric matrix? Zbl 1326.65050Pfrang, Christian W.; Deift, Percy; Menon, Govind 10 2014 Random matrix theory, interacting particle systems and integrable systems. Zbl 1318.81009 3 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 62 2013 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029Deift, P.; Its, A.; Krasovsky, I. 15 2012 Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006Deift, Percy; Its, Alexander; Krasovsky, Igor 72 2011 Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data. Zbl 1251.35145Deift, Percy; Park, Jungwoon 32 2011 An optimal family of exponentially accurate one-bit sigma-delta quantization schemes. Zbl 1248.94035Deift, Percy; Krahmer, Felix; Güntürk, C. Sinan 16 2011 Asymptotics for a determinant with a confluent hypergeometric kernel. Zbl 1216.33013Deift, Percy; Krasovsky, Igor; Vasilevska, Julia 14 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 9 2011 Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023Deift, Percy; Gioev, Dimitri 67 2009 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005Deift, P.; Its, A.; Krasovsky, I. 42 2008 Some open problems in random matrix theory and the theory of integrable systems. Zbl 1147.15305Deift, Percy 23 2008 Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Zbl 1119.15022Deift, Percy; Gioev, Dimitri 50 2007 The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. 28 2007 Universality in random matrix theory for orthogonal and symplectic ensembles. Zbl 1136.82021Deift, Percy; Gioev, Dimitri 28 2007 Universality for mathematical and physical systems. Zbl 1149.82012Deift, Percy 25 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 Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015 4 2007 Improved gap estimates for simulating quantum circuits by adiabatic evolution. Zbl 1119.81024Deift, Percy; Ruskai, Mary Beth; Spitzer, Wolfgang 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 21 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 71 2003 Products and ratios of characteristic polynomials of random Hermitian matrices. Zbl 1062.15014Baik, Jinho; Deift, Percy; Strahov, Eugene 44 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 38 2002 Perturbation theory for infinite-dimensional integrable systems on the line. A case study. Zbl 1006.35089Deift, Percy; Zhou, Xin 29 2002 A priori \(L^p\)-estimates for solutions of Riemann-Hilbert problems. Zbl 1017.35084Deift, Percy; Zhou, Xin 12 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 34 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. 20 2001 A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026Baik, Jinho; Deift, Percy; Rains, Eric 10 2001 Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033Deift, Percy 365 2000 Integrable systems and combinatorial theory. Zbl 1041.05004Deift, Percy 25 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. 16 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 362 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. 310 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. 256 1999 Integrable operators. Zbl 0920.35105Deift, Percy 35 1999 On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075Deift, P.; Its, A.; Kapaev, A.; Zhou, X. 19 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. 85 1998 A continuum limit of Toda lattice. Zbl 0946.37035Deift, P.; McLaughlin, K. T.-R. 42 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. 29 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 98 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. 85 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. 21 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 23 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. 81 1995 Forced lattice vibrations. I. Zbl 0860.34004Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos 5 1995 Forced lattice vibrations. II. Zbl 0860.34005Deift, 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. 68 1994 Long-time asymptotics for integrable systems. Higher order theory. Zbl 0812.35122Deift, P. A.; Zhou, X. 24 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. 11 1994 Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field. Zbl 0849.35115Deift, P.; Zhou, X. 7 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. 478 1993 Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132Deift, P. A.; Its, A. R.; Zhou, X. 76 1993 The inverse scattering transform on the line. Zbl 0926.35129Beals, R.; Deift, P.; Zhou, X. 9 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. 57 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 13 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 9 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 58 1989 Matrix factorizations and integrable systems. Zbl 0689.70006Deift, P.; Li, L. C.; Tomei, C. 44 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 68 1988 Scattering on the line - an overview. Zbl 0699.34016Beals, R.; Deift, P.; Tomei, C. 37 1988 The Toda flow on a generic orbit is integrable. Zbl 0606.58020Deift, P.; Li, L. C.; Nanda, T.; Tomei, C. 59 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 50 1986 Toda flows with infinitely many variables. Zbl 0615.58016Deift, P.; Li, L. C.; Tomei, C. 25 1985 On the determination of a tridiagonal matrix from its spectrum and a submatrix. Zbl 0541.15004Deift, P.; Nanda, T. 15 1984 Ordinary differential equations and the symmetric eigenvalue problem. Zbl 0526.65032Deift, P.; Nanda, T.; Tomei, C. 71 1983 Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension. Zbl 0562.35026Deift, P.; Simon, B. 66 1983 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,326 Authors 51 Kuijlaars, Arno B. J. 40 Deift, Percy A. 40 Simon, Barry 37 Its, Alexander Rudolfovich 36 Gesztesy, Fritz 32 Bertola, Marco 30 Fan, Engui 26 Aktosun, Tuncay 26 Geng, Xianguo 24 Xu, Shuaixia 23 Borodin, Alexei 23 Claeys, Tom 23 Lenells, Jonatan 22 Erdős, László 22 Lubinsky, Doron S. 21 Wong, Roderick Sue-Chuen 20 Forrester, Peter J. 20 Teschl, Gerald 20 Yurko, Vjacheslav Anatoljevich 19 McLaughlin, Kenneth D. T.-R. 19 Shepelsky, Dmitry 19 Trogdon, Thomas 19 Zhao, Yuqiu 18 Baik, Jinho 18 Charlier, Christophe 18 Dai, Dan 18 Guo, Boling 18 Sakhnovich, Alexander L. 17 Boutet de Monvel, Anne Marie 17 Grava, Tamara 17 Klaus, Martin 17 Van der Mee, Cornelis Victor Maria 17 Yau, Horng-Tzer 16 Aptekarev, Alexander Ivanovich 16 Zhang, Lun 15 Biondini, Gino 15 Bleher, Pavel M. 15 Li, Luen-Chau 15 Yattselev, Maxim L. 14 Bothner, Thomas 14 Buterin, Sergey Alexandrovich 14 Corwin, Ivan Z. 14 Ferrari, Patrik Lino 14 Liu, Nan 14 Olver, Sheehan Shakiban 14 Strahov, Eugene 14 Tovbis, Alexander 14 Zhou, Xin 13 Bloch, Anthony Michael 13 Chen, Mingming 13 Duits, Maurice 13 Martínez-Finkelshtein, Andrei 13 Miller, Peter D. 13 Seppäläinen, Timo 13 Wang, Kedong 13 Xu, Jian 12 Buckingham, Robert J. 12 Cuccagna, Scipio 12 Deaño, Alfredo 12 Fokas, Athanassios S. 12 Gekhtman, Mikhaèl I. 12 Ismail, Mourad El-Houssieny 12 Korotyaev, Evgeny L. 12 Sigal, Israel Michael 11 Böttcher, Albrecht 11 Grudsky, Sergei Mikhailovich 11 Krasovsky, Igor V. 11 Lambert, Gaultier 11 Lisovyy, Oleg 11 Petrov, Leonid 11 Van Assche, Walter 11 Wang, Dengshan 10 Damanik, David 10 Hempel, Rainer 10 Hu, Beibei 10 Liechty, Karl 10 Liu, Dangzheng 10 Ol’shanskiĭ, Grigoriĭ Iosifovich 10 Perry, Peter A. 10 Xia, Tie-Cheng 9 Adler, Mark 9 Arai, Asao 9 Bourgade, Paul 9 Breuer, Jonathan 9 Clarkson, Peter A. 9 Egorova, Iryna 9 Hammond, Alan 9 Herbst, Ira W. 9 Kamvissis, Spyridon 9 Sacks, Paul E. 9 Silva, Guilherme L. F. 9 Tierz, Miguel 9 Tomei, Carlos 9 van Moerbeke, Pierre 9 Wang, Dong 9 Yafaev, Dimitri R. 8 Basu, Riddhipratim 8 Chu, Moody T. 8 Delvaux, Steven 8 Ercolani, Nicholas M. ...and 2,226 more Authors all top 5 Cited in 336 Serials 226 Communications in Mathematical Physics 187 Journal of Mathematical Physics 81 Journal of Approximation Theory 80 Journal of Mathematical Analysis and Applications 77 Physica D 64 Journal of Statistical Physics 58 Journal of Differential Equations 56 Journal of Functional Analysis 52 Advances in Mathematics 48 Communications on Pure and Applied Mathematics 44 Probability Theory and Related Fields 44 Constructive Approximation 42 The Annals of Probability 38 Linear Algebra and its Applications 36 Duke Mathematical Journal 36 Random Matrices: Theory and Applications 33 Journal of Computational and Applied Mathematics 32 Transactions of the American Mathematical Society 31 SIGMA. 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Series A 5 Journal of Soviet Mathematics 5 Mathematische Zeitschrift 5 Japan Journal of Industrial and Applied Mathematics 5 Journal of Algebraic Combinatorics ...and 236 more Serials all top 5 Cited in 60 Fields 944 Partial differential equations (35-XX) 642 Probability theory and stochastic processes (60-XX) 494 Dynamical systems and ergodic theory (37-XX) 430 Linear and multilinear algebra; matrix theory (15-XX) 413 Ordinary differential equations (34-XX) 386 Quantum theory (81-XX) 382 Statistical mechanics, structure of matter (82-XX) 353 Operator theory (47-XX) 284 Special functions (33-XX) 191 Harmonic analysis on Euclidean spaces (42-XX) 164 Functions of a complex variable (30-XX) 164 Approximations and expansions (41-XX) 160 Numerical analysis (65-XX) 139 Combinatorics (05-XX) 61 Difference and functional equations (39-XX) 60 Fluid mechanics (76-XX) 56 Statistics (62-XX) 55 Integral equations (45-XX) 55 Functional analysis (46-XX) 46 Global analysis, analysis on manifolds (58-XX) 43 Algebraic geometry (14-XX) 43 Mechanics of particles and systems (70-XX) 38 Potential theory (31-XX) 33 Differential geometry (53-XX) 31 Mechanics of deformable solids (74-XX) 30 Computer science (68-XX) 27 Nonassociative rings and algebras (17-XX) 27 Optics, electromagnetic theory (78-XX) 25 Number theory (11-XX) 23 Information and communication theory, circuits (94-XX) 22 Relativity and gravitational theory (83-XX) 18 Group theory and generalizations (20-XX) 17 Integral transforms, operational calculus (44-XX) 15 Several complex variables and analytic spaces (32-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Operations research, mathematical programming (90-XX) 13 Measure and integration (28-XX) 12 Real functions (26-XX) 11 History and biography (01-XX) 10 Topological groups, Lie groups (22-XX) 10 Biology and other natural sciences (92-XX) 9 Associative rings and algebras (16-XX) 7 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 6 Systems theory; control (93-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Abstract harmonic analysis (43-XX) 5 Manifolds and cell complexes (57-XX) 4 Field theory and polynomials (12-XX) 4 Sequences, series, summability (40-XX) 4 Geophysics (86-XX) 3 Commutative algebra (13-XX) 3 General topology (54-XX) 2 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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