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Percy Deift

Silver Professor; Professor of Mathematics

    1973 …2019

    Research output per year

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    Research Output

    2019

    Three Lectures on “Fifty Years of KdV: An Integrable System”

    Deift, P. A., Jan 1 2019, Fields Institute Communications. Springer, p. 3-38 36 p. (Fields Institute Communications; vol. 83).

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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

    Universality in numerical computation with random data: Case Studies, Analytical Results and Some Speculations

    Deift, P. & Trogdon, T., Jan 1 2018, Computation and Combinatorics in Dynamics, Stochastics and Control - The Abel Symposium. Di Nunno, G., Celledoni, E., Ebrahimi-Fard, K. & Munthe-Kaas, H. Z. (eds.). Springer Heidelberg, Vol. 13. p. 221-231 11 p.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    2017

    On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II

    Bothner, T., Deift, P., Its, A. & Krasovsky, I., 2017, Operator Theory: Advances and Applications. Springer International Publishing, Vol. 259. p. 213-234 22 p. (Operator Theory: Advances and Applications; vol. 259).

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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

    How long does it take to computer the eigenvalues of a random symmetric matrix?

    Deift, P., Menon, G. & Phrang, C., 2014, Random matrix theory, interacting particle systems and integrable systems. Deift, P. & Forrester, P. (eds.). New York: Cambridge University Press, p. 411-442 (MSRI Publications; vol. 65).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    On the asymptotics of a Toeplitz determinant with singularities

    Deift, P., Its, A. & Krasovsky, I., 2014, Random matrix theory, interacting particle systems and integrable systems. Deift, P. & Forrester, P. (eds.). New York: Cambridge University Press, Vol. 65. p. 93-146 (MSRI Publications).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    Random matrix theory, interacting particle systems, and integrable systems

    Deift, P. (ed.) & Forrester, P. (ed.), 2014, New York (N.Y.): Cambridge University Press. 528 p. (Mathematical Sciences Research Institute publications; vol. 65)

    Research output: Book/ReportBook

    Special issue on Painleve equations, part 1

    Deift, P. (ed.) & Its, A. (ed.), Feb 2014, In : Constructive Approximation. 39, 1

    Research output: Contribution to journalSpecial issue

    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

    2009

    Random matrix theory: Invariant ensembles and universality

    Deift, P. & Gioev, D., 2009, Courant Lecture Notes 18. Providence, Rhode Island: American Mathematical Society

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    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

    Some open problems in random matrix theory and the theory of integrable systems

    Deift, P., 2008, Integrable systems and random matrices. Baik, J., Kriecherbauer, T., Li, L-C., McLaughlin, K. T-R. & Tomei, C. (eds.). Providence, Rhode Island: AMS, p. 419-430 (Contemporary Mathematics 458).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    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

    Riemann-Hilbert methods in the theory of orthogonal polynomials

    Deift, P., 2007, Spectral theory and mathematical physics: A festschrift in honor of Barry Simon's 60th birthday. Gesztesy, F., Deift, P., Galvez, C., Perry, P. & Schlag, W. (eds.). Providence, Rhode Island: AMS, p. 715-740 (Proceedings of Symposia in Pure Mathematics; vol. 76).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    Spectral theory and mathematical physics: A festschrift in honor of Barry Simon's 60th birthday

    Deift, P. (ed.), Gesztesy, F. (ed.), Galvez, C. (ed.), Perry, P. (ed.) & Schlag, W. (ed.), 2007, Providence (R.I.): American Mathematical Society. 948 p. (Proceedings of symposia in pure mathematics; vol. 76/2)

    Research output: Book/ReportBook

    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

    Universality for mathematical and physical systems

    Deift, P., Dec 1 2006, p. 125-152. 28 p.

    Research output: Contribution to conferencePaper

    2005

    Random matrix theory IV (analytical methods)

    Deift, P. & Zhou, X., 2005, Encyclopedia of Nonlinear Science. Scott, A. (ed.). New York and London: Routledge, p. 771-774

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    Riemann-Hilbert problem

    Deift, P. & Zhou, X., 2005, Encyclopedia of Nonlinear Science. Scott, A. (ed.). New York and London: Routledge, p. 804-808

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    2003

    Four lectures on random matrix theory

    Deift, P., 2003, Asymptotic combinatorics with applications to mathematical physics (St. Petersburg, 2001). Berlin: Springer, p. 21-52 (Lecture Notes in Mathematics; vol. 1815).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    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