No photo of Percy Deift

Percy Deift

Silver Professor; Professor of Mathematics

    1973 …2019

    Research output per year

    If you made any changes in Pure these will be visible here soon.

    Research Output

    Filter
    Article
    2019

    Universality in numerical computation with random data: Case studies and analytical results

    Deift, P. & Trogdon, T., Oct 1 2019, In : Journal of Mathematical Physics. 60, 10, 103306.

    Research output: Contribution to journalArticle

    Open Access
    2018

    The sine process under the influence of a varying potential

    Bothner, T., Deift, P., Its, A. & Krasovsky, I., Sep 1 2018, In : Journal of Mathematical Physics. 59, 9, 091414.

    Research output: Contribution to journalArticle

    Universality for the Toda Algorithm to Compute the Largest Eigenvalue of a Random Matrix

    Deift, P. & Trogdon, T., Mar 1 2018, In : Communications on Pure and Applied Mathematics. 71, 3, p. 505-536 32 p.

    Research output: Contribution to journalArticle

    2017

    Universality for eigenvalue algorithms on sample covariance matrices

    Deift, P. & Trogdon, T., Jan 1 2017, In : SIAM Journal on Numerical Analysis. 55, 6, p. 2835-2862 28 p.

    Research output: Contribution to journalArticle

    2016

    On the condition number of the critically-scaled laguerre unitary ensemble

    Deift, P., Trogdon, T. & Menon, G., Aug 1 2016, In : Discrete and Continuous Dynamical Systems. 36, 8, p. 4287-4347 61 p.

    Research output: Contribution to journalArticle

    2015

    On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I

    Bothner, T., Deift, P., Its, A. & Krasovsky, I., Aug 1 2015, In : Communications in Mathematical Physics. 337, 3, p. 1397-1463 67 p.

    Research output: Contribution to journalArticle

    2014

    Universality in numerical computations with random data

    Deift, P. A., Menon, G., Olver, S. & Trogdon, T., Oct 21 2014, In : Proceedings of the National Academy of Sciences of the United States of America. 111, 42, p. 14973-14978 6 p.

    Research output: Contribution to journalArticle

    2013

    Toeplitz matrices and toeplitz determinants under the impetus of the ising model: Some history and some recent results

    Deift, P., Its, A. & Krasovsky, I., Sep 1 2013, In : Communications on Pure and Applied Mathematics. 66, 9, p. 1360-1438 79 p.

    Research output: Contribution to journalArticle

    2012

    Eigenvalues of Toeplitz matrices in the bulk of the spectrum

    Deift, P., Its, A. & Krasovsky, I., 2012, In : Bulletin of the Institute of Mathematics Academia Sinica. 7, 4, p. 437-461

    Research output: Contribution to journalArticle

    2011

    An optimal family of exponentially accurate one-bit Sigma-Delta quantization schemes

    Deift, P., Krahmer, F. & Güntürk, C. S., Jul 1 2011, In : Communications on Pure and Applied Mathematics. 64, 7, p. 883-919 37 p.

    Research output: Contribution to journalArticle

    Asymptotics for a determinant with a confluent hypergeometric kernel

    Deift, P., Krasovsky, I. & Vasilevska, J., May 9 2011, In : International Mathematics Research Notices. 2011, 9, p. 2117-2160 44 p.

    Research output: Contribution to journalArticle

    Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

    Deift, P., Its, A. & Krasovsky, I., Sep 1 2011, In : Annals of Mathematics. 174, 2, p. 1243-1299 57 p.

    Research output: Contribution to journalArticle

    Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data

    Deift, P. & Park, J., Dec 15 2011, In : International Mathematics Research Notices. 2011, 24, p. 5505-5624 120 p.

    Research output: Contribution to journalArticle

    2008

    Asymptotics of the Airy-Kernel determinant

    Deift, P., Its, A. & Krasovsky, I., Mar 1 2008, In : Communications In Mathematical Physics. 278, 3, p. 643-678 36 p.

    Research output: Contribution to journalArticle

    2007

    Improved gap estimates for simulating Quantum circuits by adiabatic evolution

    Deift, P., Ruskai, M. B. & Spitzer, W., Apr 1 2007, In : Quantum Information Processing. 6, 2, p. 121-125 5 p.

    Research output: Contribution to journalArticle

    On the proof of Universality for orthogonal and symplectic ensembles in random matrix theory

    Costin, O., Deift, P. & Gioev, D., Oct 1 2007, In : Journal of Statistical Physics. 129, 5-6, p. 937-948 12 p.

    Research output: Contribution to journalArticle

    The Widom-Dyson constant for the gap probability in random matrix theory

    Deift, P., Its, A., Krasovsky, I. & Zhou, X., May 1 2007, In : Journal of Computational and Applied Mathematics. 202, 1 SPECIAL ISSUE, p. 26-47 22 p.

    Research output: Contribution to journalArticle

    Universality for orthogonal and symplectic Laguerre-type ensembles

    Deift, P., Gioev, D., Kriecherbauer, T. & Vanlessen, M., Oct 1 2007, In : Journal of Statistical Physics. 129, 5-6, p. 949-1053 105 p.

    Research output: Contribution to journalArticle

    Universality in random matrix theory for orthogonal and symplectic ensembles

    Deift, P. & Gioev, D., 2007, In : International Mathematics Research Papers. 2, 116 p., Art.IDrpm 004.

    Research output: Contribution to journalArticle

    2006

    A model for the bus system in Cuernavaca (Mexico)

    Baik, J., Borodin, A., Deift, P. & Suidan, T., Jul 14 2006, In : Journal of Physics A: Mathematical and General. 39, 28, p. 8965-8975 11 p., S11.

    Research output: Contribution to journalArticle

    A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials

    Deift, P. & Östensson, J., Mar 1 2006, In : Journal of Approximation Theory. 139, 1-2, p. 144-171 28 p.

    Research output: Contribution to journalArticle

    2003

    Long-Time Asymptotics for Solutions of the NLS Equation with Initial Data in a Weighted Sobolev Space

    Deift, P. & Zhou, X., Aug 1 2003, In : Communications on Pure and Applied Mathematics. 56, 8, p. 1029-1077 49 p.

    Research output: Contribution to journalArticle

    Products and ratios of characteristic polynomials of random Hermitlan matrices

    Balk, J., Deift, P. & Strahov, E., Aug 1 2003, In : Journal of Mathematical Physics. 44, 8, p. 3657-3670 14 p.

    Research output: Contribution to journalArticle

    2002

    A priori Lp-estimates for solutions of Riemann-Hilbert problems

    Deift, P. & Zhou, X., Dec 3 2002, In : International Mathematics Research Notices. 40, p. 2121-2154 34 p.

    Research output: Contribution to journalArticle

    Fredholm Determinants, Jimbo-Miwa-Ueno τ-Functions, and Representation Theory

    Borodin, A. & Deift, P., Sep 1 2002, In : Communications on Pure and Applied Mathematics. 55, 9, p. 1160-1230 71 p.

    Research output: Contribution to journalArticle

    Perturbation theory for infinite-dimensional integrable systems on the line. A case study

    Deift, P. & Zhou, X., Jan 1 2002, In : Acta Mathematica. 188, 2, p. 163-262 100 p.

    Research output: Contribution to journalArticle

    Open Access
    2001

    A Fredholm determinant identity and the convergence of moments for random young tableaux

    Baik, J., Deift, P. & Rains, E., Nov 1 2001, In : Communications In Mathematical Physics. 223, 3, p. 627-672 46 p.

    Research output: Contribution to journalArticle

    A riemann-Hilbert approach to asymptotic questions for orthogonal polynomials

    Deift, P., Kriecherbauer, T., McLaughlin, K. R., Venakides, S. & Zhou, X., Aug 1 2001, In : Journal of Computational and Applied Mathematics. 133, 1-2, p. 47-63 17 p.

    Research output: Contribution to journalArticle

    Optimal tail estimates for directed last passage site percolation with geometric random variables

    Baik, J., Deift, P., McLaughlin, K., Miller, P. & Zhou, X., Nov 1 2001, In : Advances in Theoretical and Mathematical Physics. 5, 6, p. 1-41 41 p.

    Research output: Contribution to journalArticle

    2000

    Integrable systems and combinatorial theory

    Deift, P., 2000, In : Notices of the American Mathematical Society. 47, 6, p. 631-640 Feature article.

    Research output: Contribution to journalArticle

    On the distribution of the length of the second row of a young diagram under plancherel measure

    Baik, J., Deift, P. & Johansson, K., Jan 1 2000, In : Geometric and Functional Analysis. 10, 4, p. 702-731 30 p.

    Research output: Contribution to journalArticle

    1999

    Integrable operators

    Deift, P., 1999, In : American Mathematical Society Translations. 189, 2, p. 69-84

    Research output: Contribution to journalArticle

    On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials

    Deift, P. & Killip, R., Jan 1 1999, In : Communications In Mathematical Physics. 203, 2, p. 341-347 7 p.

    Research output: Contribution to journalArticle

    On the algebro-geometric integration of the Schlesinger equations

    Deift, P., Its, A., Kapaev, A. & Zhou, X., Jan 1 1999, In : Communications in Mathematical Physics. 203, 3, p. 613-633 21 p.

    Research output: Contribution to journalArticle

    On the distribution of the length of the longest increasing subsequence of random permutations

    Baik, J., Deift, P. & Johansson, K., Dec 1 1999, In : Journal of the American Mathematical Society. 12, 4, p. 1119-1178 60 p.

    Research output: Contribution to journalArticle

    Strong asymptotics of orthogonal polynomials with respect to exponential weights

    Deift, P., Kriecherbauer, T., Mclaughlin, K. T. R., Venakides, S. & Zhou, X., Dec 1999, In : Communications on Pure and Applied Mathematics. 52, 12, p. 1491-1552 62 p.

    Research output: Contribution to journalArticle

    Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

    Deift, P., Kriecherbauer, T., McLaughlin, K. T. R., Venakides, S. & Zhou, X., Nov 1999, In : Communications on Pure and Applied Mathematics. 52, 11, p. 1335-1425 91 p.

    Research output: Contribution to journalArticle

    1998

    A continuum limit of the Toda Lattice

    Deift, P. & McLaughlin, K. T. R., Jan 1 1998, In : Memoirs of the American Mathematical Society. 624, p. 1-216 216 p.

    Research output: Contribution to journalArticle

    New Results on the Equilibrium Measure for Logarithmic Potentials in the Presence of an External Field

    Deift, P., Kriecherbauer, T. & McLaughlin, K. T. R., Dec 1 1998, In : Journal of Approximation Theory. 95, 3, p. 388-475 88 p.

    Research output: Contribution to journalArticle

    Uniform asymptotics for orthogonal polynomials

    Deift, P., Kriecherbauer, T., McLaughlin, K. T. R., Venakides, S. & Zhou, X., 1998, In : Documenta Mathematica. Extra volume III, p. 491-501

    Research output: Contribution to journalArticle

    Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights

    Deift, P., Kriecherbauer, T., McLaughlin, K. T. R., Venakides, S. & Zhou, X., Dec 1 1997, In : International Mathematics Research Notices. 16, p. X-782

    Research output: Contribution to journalArticle

    Near integrable systems on the line. A case study-pertubation theory of the defocusing nonlinear Schrödinger equation

    Deift, P. & Zhou, X., Jan 1 1997, In : Mathematical Research Letters. 4, 5, p. 761-772 12 p.

    Research output: Contribution to journalArticle

    Open Access

    New Results in Small Dispersion KdV by an Extension of the Steepest Descent Method for Riemann-Hilbert Problems

    Deift, P., Venakides, S. & Zhou, X., Dec 1 1997, In : International Mathematics Research Notices. 6, p. 284-299 16 p.

    Research output: Contribution to journalArticle

    1996

    The toda rarefaction problem

    Deift, P., Kamvissis, S., Kriecherbauer, T. & Zhou, X., Jan 1996, In : Communications on Pure and Applied Mathematics. 49, 1, p. 35-83 49 p.

    Research output: Contribution to journalArticle