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Percy Deift

Silver Professor; Professor of Mathematics

    1973 …2019

    Research output per year

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    Research Output

    A continuum limit of matrix inverse problems

    Deift, P. & Trubowitz, E., 1981, In : SIAM Journal on Mathematical Analysis. 12, 6, p. 799-818

    Research output: Contribution to journalArticle

    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

    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

    Almost periodic Schrödinger operators - III. The absolutely continuous spectrum in one dimension

    Deift, P. & Simon, B., Sep 1 1983, In : Communications In Mathematical Physics. 90, 3, p. 389-411 23 p.

    Research output: Contribution to journalArticle

    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 monotonicity property for Toda-type flows

    Deift, P., Rivera, S., Tomei, C. & Watkins, D. S., Jul 1991, In : SIAM Journal on Matrix Analysis and Applications. 12, 3, p. 463-468

    Research output: Contribution to journalArticle

    An identity among squares of eigenfunctions

    Deift, P. & Trubowitz, E., 1981, In : Communications on Pure and Applied Mathematics. 34, 5, p. 713-717

    Research output: Contribution to journalArticle

    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

    Applications of a commutation formula

    Deift, P. A., Jun 1978, In : Duke Mathematical Journal. 45, 2, p. 267-310 44 p.

    Research output: Contribution to journalArticle

    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

    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

    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

    A steepest descent method for oscillatory Riemann-Hilbert problems

    Deift, P. & Zhou, X., Jan 1992, In : Bulletin of the American Mathematical Society. 26, 1, p. 119-123 5 p.

    Research output: Contribution to journalComment/debate

    A steepest descent method for oscillatory Riemann-Hilbert problems - Asymptotics for the MKdV equation

    Deift, P. & Zhou, X., Mar 1993, In : Annals of Mathematics. 137, 2, p. 295-368

    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 for oscillatory Riemann-Hilbert problems

    Deift, P. & Zhou, X., 1999, CCAST Proceedings: Four lectures at MSRI, Berkeley, January 19-23, 1999 and CCAST, Beijing, May 3-7, 1999.

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

    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

    Asymptotics for the Painleve II equation

    Deift, P. & Zhou, X., Mar 1995, In : Communications on Pure and Applied Mathematics. 48, 3, p. 277-337

    Research output: Contribution to journalArticle

    Asymptotics for the Painleve II equation: Announcements of results

    Deift, P. & Zhou, X., 1994, In : Advanced Studies in Pure Mathematics. 23, p. 17-26

    Research output: Contribution to journalArticle

    Asymptotics for the painlevé II equation

    Deift, P. A. & Zhou, X., 1995, In : Communications on Pure and Applied Mathematics. 48, 3, p. 277-337 61 p.

    Research output: Contribution to journalArticle

    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

    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

    A time-dependent approach to completeness of multiparticle quantum systems

    Deift, P. & Simon, B., 1977, In : Communications on Pure and Applied Mathematics. 30, 5, p. 573-583

    Research output: Contribution to journalArticle

    A time‐dependent approach to the completeness of multiparticle quantum systems

    Deift, P. & Simon, B., Sep 1977, In : Communications on Pure and Applied Mathematics. 30, 5, p. 573-583 11 p.

    Research output: Contribution to journalArticle

    Bidiagonal singular value decomposition and Hamiltonian mechanics

    Deift, P., Demmel, J., Li, L. C. & Tomei, C., Jan 1 1991, In : SIAM Journal on Numerical Analysis. 28, 5, p. 1463-1516 54 p.

    Research output: Contribution to journalArticle

    Continuous versions of some discrete maps or what goes on when the lights go out

    Deift, P., Dec 1 1992, In : Journal d'Analyse Mathématique. 58, 1, p. 121-133 13 p.

    Research output: Contribution to journalArticle

    Direct and inverse scattering on the line

    Beals, R., Deift, P. & Tomei, C., 1988, Providence: American Mathematical Society. (Mathematical Surveys and Monographs; no. 28)

    Research output: Book/ReportOther report

    Direct and inverse scattering on the line with arbitrary singularities

    Deift, P. & Zhou, X., Jul 1991, In : Communications on Pure and Applied Mathematics. 44, 5, p. 485-533 49 p.

    Research output: Contribution to journalArticle

    Dynamical aspects of the bidiagonal singular value decomposition

    Deift, P., Demmel, J., Li, L. C. & Tomei, C., 1991, Proceedings of the Special Session on Sympletic Geometry, MSRI, June 1989. Ratiu, T. (ed.). New York: Springer-Verlag, p. 81-96

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

    Eigenvalue branches of the Schrödinger operator H-λW in a gap of σ(H)

    Alama, S., Deift, P. A. & Hempel, R., Jun 1 1989, In : Communications In Mathematical Physics. 121, 2, p. 291-321 31 p.

    Research output: Contribution to journalArticle

    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

    Forced lattice vibrations: Part I

    Deift, P., Kriecherbauer, T. & Venakides, S., 1995, In : Communications on Pure and Applied Mathematics. 48, 11, p. 1187-1249 63 p.

    Research output: Contribution to journalArticle

    Forced lattice vibrations: Part II

    Deift, P., Kriecherbauer, T. & Venakides, S., Nov 1995, In : Communications on Pure and Applied Mathematics. 48, 11, p. 1251-1298

    Research output: Contribution to journalArticle

    Forced lattice vibrations: Part II

    Deift, P., Kriecherbauer, T. & Venakides, S., 1995, In : Communications on Pure and Applied Mathematics. 48, 11, p. 1251-1298 48 p.

    Research output: Contribution to journalArticle

    Forced lattice vibrations: Part I

    Deift, P., Kriecherbauer, T. & Venakides, S., Nov 1995, In : Communications on Pure and Applied Mathematics. 48, 11, p. 1187-1249

    Research output: Contribution to journalArticle

    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)

    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

    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)

    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

    Integrable Hamiltonian systems

    Deift, P., 1996, Dynamical systems and probabilistic methods in partial differential equations. Deift, P., Levermore, C. D. & Wayne, C. E. (eds.). Providence: AMS, (Lectures in Applied Mathematics; vol. 31).

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

    Integrable operators

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

    Research output: Contribution to journalArticle

    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

    Inverse problem for a stratified ocean and bottom

    Stickler, D. C. & Deift, P. A., Dec 1981, In : Journal of the Acoustical Society of America. 70, 6, p. 1723-1727 5 p.

    Research output: Contribution to journalArticle

    Inverse scattering and the Boussinesq equation

    Deift, P., Tomei, C. & Trubowitz, E., 1982, In : Communications on Pure and Applied Mathematics. 35, 5, p. 567-628

    Research output: Contribution to journalArticle

    Inverse scattering for self-adjoint nth order differential operators on the line

    Beals, R., Deift, P. & Tomei, C., 1987, Proceedings of the International Conference on Differential Equations and Mathematical Physics at the University of Alabama, Birmingham, March, 1986. Springer-Verlag, p. 26-38 (Lecture Notes in Mathematics 1285).

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