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Percy Deift

Silver Professor; Professor of Mathematics

    1973 …2019

    Research output per year

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    Research Output

    1973

    Io's interaction with the magnetosphere

    Goertz, C. K. & Deift, P. A., Aug 1973, In : Planetary and Space Science. 21, 8, p. 1399-1415 17 p.

    Research output: Contribution to journalArticle

    Propagation of Alfven waves along Io's flux tube

    Deift, P. & Goertz, C. K., 1973, In : Planetary and Space Science. 21, 8, p. 1417-1429

    Research output: Contribution to journalArticle

    The propagation of Alfven waves along Io's flux tube

    Deift, P. A. & Goertz, C. K., Aug 1973, In : Planetary and Space Science. 21, 8, p. 1417-1429 13 p.

    Research output: Contribution to journalArticle

    1976

    On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems

    Deift, P. & Simon, B., Nov 1976, In : Journal of Functional Analysis. 23, 3, p. 218-238 21 p.

    Research output: Contribution to journalArticle

    1977

    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

    1978

    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

    Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems IV

    Deift, P., Hunziker, W., Simon, B. & Vock, E., Dec 1 1978, In : Communications In Mathematical Physics. 64, 1, p. 1-34 34 p.

    Research output: Contribution to journalArticle

    1979

    Inverse scattering on the line

    Deift, P. & Trubowitz, E., 1979, In : Communications on Pure and Applied Mathematics. 32, 2, p. 121-251

    Research output: Contribution to journalArticle

    1980

    Nonlinear wave equations and constrained harmonic motion

    Deift, P., Lund, F. & Trubowitz, E., Jun 1 1980, In : Communications In Mathematical Physics. 74, 2, p. 141-188 48 p.

    Research output: Contribution to journalArticle

    Some remarks on the Korteweg-deVries' and Hill's equations

    Deift, P. & Trubowitz, E., Dec 1980, In : Annals of the New York Academy of Sciences.

    Research output: Contribution to journalArticle

    SOME REMARKS ON THE KORTEWEG‐DE VRIES AND HILL'S EQUATIONS

    Deift, P. & Trubowitz, E., Dec 1980, In : Annals of the New York Academy of Sciences. 357, 1, p. 55-64 10 p.

    Research output: Contribution to journalArticle

    1981

    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

    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

    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

    Some remarks on the shape-from-shading problem in computer vision

    Deift, P. & Sylvester, J., Nov 1981, In : Journal of Mathematical Analysis and Applications. 84, 1, p. 235-248 14 p.

    Research output: Contribution to journalArticle

    1982

    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

    1983

    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

    On the determinant of the adjacency matrix for a planar sublattice

    Deift, P. A. & Tomei, C., Dec 1983, In : Journal of Combinatorial Theory, Series B. 35, 3, p. 278-289 12 p.

    Research output: Contribution to journalArticle

    Ordinary differential equations and the symmetric eigenvalue problem

    Deift, P., Nanda, T. & Tomei, C., 1983, In : SIAM Journal on Numerical Analysis. 20, 1, p. 1-22

    Research output: Contribution to journalArticle

    1984

    On the determination of a tridiagonal matrix from its spectrum and a submatrix

    Deift, P. & Nanda, T., Aug 1984, In : Linear Algebra and Its Applications. 60, C, p. 43-55 13 p.

    Research output: Contribution to journalArticle

    The toda flow on a generic orbit is integrable

    Deift, P., Li, L. C., Nanda, T. & Tomei, C., 1984, In : Bulletin of the American Mathematical Society. 11, 2, p. 367-368

    Research output: Contribution to journalArticle

    Toda flows with infinitely many variables

    Deift, P., Li, L. C. & Tomei, C., Dec 1985, In : Journal of Functional Analysis. 64, 3, p. 358-402 45 p.

    Research output: Contribution to journalArticle

    1986

    On the existence of eigenvalues of the Schrödinger operator H-λW in a gap of σ(H)

    Deift, P. A. & Hempel, R., Sep 1 1986, In : Communications In Mathematical Physics. 103, 3, p. 461-490 30 p.

    Research output: Contribution to journalArticle

    The toda flow on a generic orbit is integrable

    Deift, P., Li, L. C., Nanda, T. & Tomei, C., Mar 1986, In : Communications on Pure and Applied Mathematics. 39, 2, p. 183-232 50 p.

    Research output: Contribution to journalArticle

    The Toda flow on a generic orbit is integrable

    Deift, P., Li, L. C., Nanda, T. & Tomei, C., Mar 1986, In : Communications on Pure and Applied Mathematics. 39, 2, p. 183-232

    Research output: Contribution to journalArticle

    1987

    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

    1988

    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

    1989

    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

    Matrix factorizations and integrable systems

    Deift, P., Li, L. C. & Tomei, C., Jun 1989, In : Communications on Pure and Applied Mathematics. 42, 4, p. 443-521 79 p.

    Research output: Contribution to journalArticle

    1991

    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

    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

    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

    The toda shock problem

    Venakides, S., Deift, P. & Oba, R., Jan 1 1991, In : Communications on Pure and Applied Mathematics. 44, 8-9, p. 1171-1242 72 p.

    Research output: Contribution to journalArticle

    1992

    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

    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

    Inverse scattering on the line - An overview

    Deift, P., 1992, Proceedings of the University of Alabama Birmingham 1990 Conference on Differential Equations and Mathematical Physics. Bennewitz, C. (ed.). Academic Press, p. 45-62

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

    Inverse Scattering on the Line—an Overview

    Deift, P., Jan 1 1992, In : Mathematics in Science and Engineering. 186, C, p. 45-62 18 p.

    Research output: Contribution to journalArticle

    Loop groups, discrete versions of some classical integrable systems and rank 2 extensions

    Deift, P., Li, L. C. & Tomei, C., Nov 1992, In : Memoirs of the American Mathematical Society. 100, 479, p. R6

    Research output: Contribution to journalArticle

    Review of "Direct and inverse problems: Potentials in quantum scattering", by B. Zakhariev and A. Suzko

    Deift, P., 1992, In : SIAM Review. 34, 1, p. 141-142

    Research output: Contribution to journalBook/Film/Article review

    The billiard on an ellipsoid as an integrable system

    Deift, P., Li, L. C. & Tomei, C., 1992, In : Matematica Contemporanea. 3, p. 21-28

    Research output: Contribution to journalArticle

    1993

    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

    Long-time asymptotics of integrable nonlinear wave equations

    Deift, P., Its, A. & Zhou, X., 1993, Important developments in soliton theory, 1980-1990. Fokas, A. S. & Zakharov, V. E. (eds.). Springer-Verlag

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

    Symplectic aspects of some eigenvalue algorithms

    Deift, P., Li, L. C. & Tomei, C., 1993, Important developments in soliton theory, 1980-1990. Fokas, A. S. & Zakharov, V. E. (eds.). Springer-Verlag

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

    The inverse scattering transforms on the line

    Beals, R., Deift, P. & Zhou, X., 1993, Important developments in soliton theory, 1980-1990. Fokas, A. S. & Zakharov, V. E. (eds.). Springer-Verlag

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

    1994

    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