Deift, Percy 1945
Overview
Works:  42 works in 135 publications in 2 languages and 1,907 library holdings 

Genres:  Conference proceedings Case studies 
Roles:  Author, Editor 
Classifications:  QA3, 515.724 
Publication Timeline
.
Most widely held works by
Percy Deift
Direct and inverse scattering on the line by
Richard Beals(
Book
)
11 editions published in 1988 in English and Undetermined and held by 378 WorldCat member libraries worldwide
11 editions published in 1988 in English and Undetermined and held by 378 WorldCat member libraries worldwide
Dynamical systems and probabilistic methods in partial differential equations : 1994 Summer Seminar on Dynamical Systems and
Probabilistic Methods for Nonlinear Waves, June 20July 1, 1994, MSRI, Berkeley, CA by Summer Seminar on Dynamical Systems and Probabilistic Methods for Nonlinear Waves(
Book
)
7 editions published between 1995 and 1998 in English and held by 264 WorldCat member libraries worldwide
This volume contains some of the lectures presented in June 1994 during the AMSSIAM Summer Seminar at the Mathematical Sciences Research Institute in Berkeley. The goal of the seminar was to introduce participants to as many interesting and active applications of dynamical systems and probabilistic methods to problems in applied mathematics as possible. As a result, this book covers a great deal of ground. Nevertheless, the pedagogical orientation of the lectures has been retained, and therefore the book will serve as an ideal introduction to these varied and interesting topics
7 editions published between 1995 and 1998 in English and held by 264 WorldCat member libraries worldwide
This volume contains some of the lectures presented in June 1994 during the AMSSIAM Summer Seminar at the Mathematical Sciences Research Institute in Berkeley. The goal of the seminar was to introduce participants to as many interesting and active applications of dynamical systems and probabilistic methods to problems in applied mathematics as possible. As a result, this book covers a great deal of ground. Nevertheless, the pedagogical orientation of the lectures has been retained, and therefore the book will serve as an ideal introduction to these varied and interesting topics
Orthogonal polynomials and random matrices : a RiemannHilbert approach by
Percy Deift(
Book
)
21 editions published between 1998 and 2002 in English and held by 250 WorldCat member libraries worldwide
21 editions published between 1998 and 2002 in English and held by 250 WorldCat member libraries worldwide
Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions by
Percy Deift(
Book
)
14 editions published in 1992 in English and Italian and held by 235 WorldCat member libraries worldwide
14 editions published in 1992 in English and Italian and held by 235 WorldCat member libraries worldwide
A continuum limit of the Toda lattice by
Percy Deift(
Book
)
13 editions published in 1998 in English and held by 227 WorldCat member libraries worldwide
Content Description
13 editions published in 1998 in English and held by 227 WorldCat member libraries worldwide
Content Description
Integrable systems and random matrices : in honor of Percy Deift : conference on integrable systems, random matrices, and
applications in honor of Percy Deift's 60th birthday, May 2226, 2006, Courant Institute of Mathematical Sciences, New York
University, New York by random matrices, and applications Conference on integrable systems(
Book
)
15 editions published between 2007 and 2008 in English and held by 178 WorldCat member libraries worldwide
"This volume contains the proceedings of a conference held at the Courant Institute in 2006 to celebrate the 60th birthday of Percy A. Deift. The program reflected the wideranging contributions of Professor Deift to analysis with emphasis on recent developments in Random Matrix Theory and integrable systems. The articles in this volume present a broad view on the state of the art in these fields. Topics on random matrices include the distributions and stochastic processes associated with local eigenvalue statistics. as well as their appearance in combinatorial models such us TASEP, last passage percolation and tilings. The contributions in integrable systems mostly deal with focusing NLS, the CamassaHolm equation and the Toda lattice, A number of papers are devoted to techniques that are used in both fields. These techniques are related to orthogonal polynomials, operator determinunts, special functions, RiemannHilbert problems, direct and inverse spectral theory. Of special interest is the article of Percy Deift in which he discusses some open problems of Random Matrix Theory und the theory of integrable systems."BOOK JACKET
15 editions published between 2007 and 2008 in English and held by 178 WorldCat member libraries worldwide
"This volume contains the proceedings of a conference held at the Courant Institute in 2006 to celebrate the 60th birthday of Percy A. Deift. The program reflected the wideranging contributions of Professor Deift to analysis with emphasis on recent developments in Random Matrix Theory and integrable systems. The articles in this volume present a broad view on the state of the art in these fields. Topics on random matrices include the distributions and stochastic processes associated with local eigenvalue statistics. as well as their appearance in combinatorial models such us TASEP, last passage percolation and tilings. The contributions in integrable systems mostly deal with focusing NLS, the CamassaHolm equation and the Toda lattice, A number of papers are devoted to techniques that are used in both fields. These techniques are related to orthogonal polynomials, operator determinunts, special functions, RiemannHilbert problems, direct and inverse spectral theory. Of special interest is the article of Percy Deift in which he discusses some open problems of Random Matrix Theory und the theory of integrable systems."BOOK JACKET
Random matrix theory : invariant ensembles and universality by
Percy Deift(
Book
)
7 editions published in 2009 in English and held by 172 WorldCat member libraries worldwide
"This book features a unified derivation of the mathematical theory of the three classical types of invariant random matrix ensemblesorthogonal, unitary, and symplectic. The authors follow the approach of Tracy and Widom, but the exposition here contains a substantial amount of additional material, in particular, facts from functional analysis and the theory of Pfaffians. The main result in the book is a proof of universality for orthogonal and symplectic ensembles corresponding to generalized Gaussian type weights following the authors' prior work. New, quantitative error estimates are derived."BOOK JACKET
7 editions published in 2009 in English and held by 172 WorldCat member libraries worldwide
"This book features a unified derivation of the mathematical theory of the three classical types of invariant random matrix ensemblesorthogonal, unitary, and symplectic. The authors follow the approach of Tracy and Widom, but the exposition here contains a substantial amount of additional material, in particular, facts from functional analysis and the theory of Pfaffians. The main result in the book is a proof of universality for orthogonal and symplectic ensembles corresponding to generalized Gaussian type weights following the authors' prior work. New, quantitative error estimates are derived."BOOK JACKET
Random matrix theory, interacting particle systems, and integrable systems(
Book
)
3 editions published in 2014 in English and held by 63 WorldCat member libraries worldwide
3 editions published in 2014 in English and held by 63 WorldCat member libraries worldwide
The Bidiagonal singular value decomposition and Hamiltonian mechanics by
Percy Deift(
Book
)
2 editions published in 1989 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1989 in English and held by 4 WorldCat member libraries worldwide
Dynamical systems and probabilistic methods in partial differential equations : 1994 summer seminar, June 20  July 1, 1994,
MSRI, Berkeley, CA(
Book
)
2 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
Theoretical aspects of the generation of radio noise by the planet Jupiter by
Percy Deift(
)
3 editions published between 1971 and 1972 in English and Undetermined and held by 3 WorldCat member libraries worldwide
3 editions published between 1971 and 1972 in English and Undetermined and held by 3 WorldCat member libraries worldwide
Dynamical systems and probabilistic methods in patial differential equations(
Book
)
2 editions published in 1996 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 2 WorldCat member libraries worldwide
Classical scattering theory with a trace condition by
Percy Deift(
)
3 editions published between 1976 and 1983 in English and held by 2 WorldCat member libraries worldwide
3 editions published between 1976 and 1983 in English and held by 2 WorldCat member libraries worldwide
Eisenstein series, uniqueness principle, and finite order bounds by Yakov Kerzhner(
Book
)
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
The main purpose of this thesis is to give a new proof of the finiteness of order of the constant term coefficients of Eisenstein Series on higher rank groups. The method is applicable to any semisimple group with a few minor assumptions. The bounds are derived from the analytic continuation of Eisenstein Series. The analytic continuation follows an idea originally introduced by Selberg in the case of rank one groups and developed by others in higher rank. The first part of the proof reduces the analytic continuation of the Eisenstein Series to the analytic continuation of their constant terms coefficients. The main tool that is used is the Fredholm determinant, which allows one to control the size of the auxiliary functions that arise. The coefficients are then analytically continued by using the eigenfunction properties of the Eisenstein Series itself. Using the fact that the Eisenstein Series is an eigenfunction for the ring of biinvariant differential operators leads to an infinite system of linear equations with the constant term coefficients as unknowns. An effective version of the Uniqueness Principle is used to extract a finite number of linear equations from the infinite system so that the corresponding determinant is bounded away from zero by a controlled amount. In order to prove finite order bounds, uniform (in the group variable) estimates on the coefficients in the infinite linear system are established. This uniformity allows one to extract bounds from the Uniqueness Principle even though there is no information on which finite set of linear equations is being used
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
The main purpose of this thesis is to give a new proof of the finiteness of order of the constant term coefficients of Eisenstein Series on higher rank groups. The method is applicable to any semisimple group with a few minor assumptions. The bounds are derived from the analytic continuation of Eisenstein Series. The analytic continuation follows an idea originally introduced by Selberg in the case of rank one groups and developed by others in higher rank. The first part of the proof reduces the analytic continuation of the Eisenstein Series to the analytic continuation of their constant terms coefficients. The main tool that is used is the Fredholm determinant, which allows one to control the size of the auxiliary functions that arise. The coefficients are then analytically continued by using the eigenfunction properties of the Eisenstein Series itself. Using the fact that the Eisenstein Series is an eigenfunction for the ring of biinvariant differential operators leads to an infinite system of linear equations with the constant term coefficients as unknowns. An effective version of the Uniqueness Principle is used to extract a finite number of linear equations from the infinite system so that the corresponding determinant is bounded away from zero by a controlled amount. In order to prove finite order bounds, uniform (in the group variable) estimates on the coefficients in the infinite linear system are established. This uniformity allows one to extract bounds from the Uniqueness Principle even though there is no information on which finite set of linear equations is being used
Forced lattice vibrations by
Percy Deift(
Visual
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Presenting a paper on lattice vibrations as an educational demonstration model, the authors of the paper plus a panel of experts demonstrate how computer and video technology can be used to speed up and enhance the transfer of information between themselves and other experts
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Presenting a paper on lattice vibrations as an educational demonstration model, the authors of the paper plus a panel of experts demonstrate how computer and video technology can be used to speed up and enhance the transfer of information between themselves and other experts
The Toda flow on a generic orbit is integrable by
Percy Deift(
Book
)
2 editions published in 1984 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1984 in English and held by 2 WorldCat member libraries worldwide
Spectral theory and mathematical physics : a festschrift in honor of Barry Simon's 60. birthday by Conference on spectral theory and mathematical physics(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Some topics in hyperbolic and dispersive PDE by Fabio Pusateri(
Book
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
Finally, we give a new simple proof of global existence and long range scattering for the gaugeinvariant NLS equation on the real line, and for Hartree equations in dimension larger than one. The interesting feature of our approach is the identification of the phase correction termwhich is necessary to prove sharp pointwise bounds and scatteringthrough a very natural stationary phase argument
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
Finally, we give a new simple proof of global existence and long range scattering for the gaugeinvariant NLS equation on the real line, and for Hartree equations in dimension larger than one. The interesting feature of our approach is the identification of the phase correction termwhich is necessary to prove sharp pointwise bounds and scatteringthrough a very natural stationary phase argument
The nonlinear Schroedinger equation with a delta potential and even initial data by Jungwoon Park(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
Among a number of different ways to solve the IBV problem, we follow the method of Bikbaev and Tarasov which utilizes a Backlund transformation to extend the solution on the halfline to a solution of the NLS equation on the whole line, in such a way that the boundary condition is automatically satisfied. The long time asymptotics for the solutions of the equation can then be obtained by the nonlinear steepestdescent method for RiemannHilbert problems introduced by Deift and Zhou
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
Among a number of different ways to solve the IBV problem, we follow the method of Bikbaev and Tarasov which utilizes a Backlund transformation to extend the solution on the halfline to a solution of the NLS equation on the whole line, in such a way that the boundary condition is automatically satisfied. The long time asymptotics for the solutions of the equation can then be obtained by the nonlinear steepestdescent method for RiemannHilbert problems introduced by Deift and Zhou
Spectral theory and mathematical physics : a festschrift in honor of Barry Simon's 60th birthday by Conference on spectral theory and mathematical physics in honor of Barry Simon's 60th birthday(
)
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Tomei, Carlos Editor
 Beals, Richard 1938 Author
 Levermore, C. D. Editor
 Wayne, C. Eugene 1956 Editor
 Li, LuenChau 1954 Editor
 McLaughlin, K. TR (Kenneth TR) 1969
 Baik, Jinho 1973 Author Editor
 Gioev, Dimitri 1973
 Forrester, Peter (Peter John) Editor
 Mathematical Sciences Research Institute (Berkeley, Calif.)
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Associated Subjects
Computerassisted instruction Differentiable dynamical systems Differential equations, Partial Educational technology Hamiltonian systems Inverse scattering transform Jupiter (Planet) Kortewegde Vries equation Lattice theory Loops (Group theory) Mathematical physics MathematicsStudy and teaching (Higher) Orthogonal polynomials Perturbation (Mathematics) Radio astronomy Radio noise Random matrices Scattering (Mathematics) Scattering (Physics) Spectral theory (Mathematics) TeachingAids and devices
Alternative Names
Deift, P.
Deift, P. 1945
Deift, P. A. 1945
Deift, P. (Percy), 1945
Deift, Percy A. 1945
Deift, Percy Alec 1945
Percy Deift American mathematician
Percy Deift amerikansk matematikar
Percy Deift amerikansk matematiker
Percy Deift USamerikanischer Mathematiker
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