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Percy Deift

Silver Professor; Professor of Mathematics

1973 …2019
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Research Output 1973 2019

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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)

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

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

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)

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)

1999

Orthogonal polynomials and random matrices: A Riemann-Hilbert approach

Deift, P., 1999, Courant lecture notes 3. New York: New York University

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

1998

New results for the asymptotics of orthogonal polynomials and related problems via the Lax-Levermore method: Announcement

Deift, P., Kriecherbauer, T. & McLaughlin, K. T. R., 1998, Proceedings of Symposia in Applied Mathematics. Vol. 54. p. 87-104

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

1996

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)

1994

Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field

Deift, P. & Zhou, X., 1994, Singular limits and dispersive waves. Ercolani, N. M., Gabitov, I. R., Levermore, C. D. & Serre, D. (eds.). New York: Plenum Press, (NATO ASI Series B; vol. 320).

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

Long-time behavior of the non-focusing linear Schrodinger equation - a case study

Deift, P. & Zhou, X., 1994, New series: Lectures in Mathematical Sciences. University of Tokyo, Vol. 5.

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

1993

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)