Deift, Percy 1945
Overview
Works:  34 works in 148 publications in 2 languages and 2,106 library holdings 

Genres:  Conference papers and proceedings Case studies 
Roles:  Author, Editor, Other 
Classifications:  QA3, 515.724 
Publication Timeline
.
Most widely held works by
Percy Deift
Direct and inverse scattering on the line by
Richard Beals(
Book
)
14 editions published between 1988 and 2015 in English and Undetermined and held by 385 WorldCat member libraries worldwide
14 editions published between 1988 and 2015 in English and Undetermined and held by 385 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
)
15 editions published between 1994 and 1998 in English and Undetermined and held by 281 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
15 editions published between 1994 and 1998 in English and Undetermined and held by 281 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
)
23 editions published between 1998 and 2002 in English and held by 263 WorldCat member libraries worldwide
23 editions published between 1998 and 2002 in English and held by 263 WorldCat member libraries worldwide
Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions by
Percy Deift(
Book
)
15 editions published in 1992 in English and Italian and held by 243 WorldCat member libraries worldwide
15 editions published in 1992 in English and Italian and held by 243 WorldCat member libraries worldwide
A continuum limit of the Toda lattice by
Percy Deift(
Book
)
15 editions published between 1994 and 1998 in English and held by 233 WorldCat member libraries worldwide
We describe a continuum limit of the Toda lattice ODE system, obtained by taking as initial data for the finite lattice successively finer discretizations of two smooth functions
15 editions published between 1994 and 1998 in English and held by 233 WorldCat member libraries worldwide
We describe a continuum limit of the Toda lattice ODE system, obtained by taking as initial data for the finite lattice successively finer discretizations of two smooth functions
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 matrix theory, and applications Conference on integrable systems(
Book
)
15 editions published between 2007 and 2008 in English and held by 180 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."Jacket
15 editions published between 2007 and 2008 in English and held by 180 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."Jacket
Random matrix theory : invariant ensembles and universality by
Percy Deift(
Book
)
8 editions published in 2009 in English and held by 180 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."Jacket
8 editions published in 2009 in English and held by 180 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."Jacket
Random matrix theory, interacting particle systems, and integrable systems by
Percy Deift(
Book
)
7 editions published between 2014 and 2015 in English and Undetermined and held by 108 WorldCat member libraries worldwide
"Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and as a wide range of applications in physics, engineering, multivariate statistics and beyond. This volume is based on a Fall 2010 MSRI program which generated the solution of longstanding questions on universalities of Wigner matrices and betaensembles, and opened new research directions especially in relation to the KPZ universality class of interacting particle systems and lowrank perturbations. The book contains review articles and research contributions on all these topics, in addition to other core aspects of random matrix theory such as integrability and free probability theory. It will give both established and new researchers insights into the most recent advances in field and the connections among many subfields."
7 editions published between 2014 and 2015 in English and Undetermined and held by 108 WorldCat member libraries worldwide
"Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and as a wide range of applications in physics, engineering, multivariate statistics and beyond. This volume is based on a Fall 2010 MSRI program which generated the solution of longstanding questions on universalities of Wigner matrices and betaensembles, and opened new research directions especially in relation to the KPZ universality class of interacting particle systems and lowrank perturbations. The book contains review articles and research contributions on all these topics, in addition to other core aspects of random matrix theory such as integrability and free probability theory. It will give both established and new researchers insights into the most recent advances in field and the connections among many subfields."
Combinatorics and random matrix theory by
Jinho Baik(
Book
)
1 edition published in 2016 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 5 WorldCat member libraries worldwide
The Bidiagonal singular value decomposition and Hamiltonian mechanics by
Percy Deift(
Book
)
3 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
The Toda Flown on a Generic Orbit Is Integrable by
Percy Deift(
Book
)
3 editions published between 1984 and 1986 in English and held by 3 WorldCat member libraries worldwide
An action angle variables is constructed for Toda flow on generic orbits of the coadjoint action of the lower triangular group on its dual Lie algebra
3 editions published between 1984 and 1986 in English and held by 3 WorldCat member libraries worldwide
An action angle variables is constructed for Toda flow on generic orbits of the coadjoint action of the lower triangular group on its dual Lie algebra
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 held by 3 WorldCat member libraries worldwide
3 editions published between 1971 and 1972 in English and held by 3 WorldCat member libraries worldwide
Forced lattice vibrations by
Percy Deift(
Visual
)
2 editions published in 1994 in English and held by 3 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
2 editions published in 1994 in English and held by 3 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
Eisenstein series, uniqueness principle, and finite order bounds by Yakov Kerzhner(
Book
)
1 edition 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
1 edition 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
Spectral theory and mathematical physics : a festschrift in honor of Barry Simon's 60th birthday by Conference on Spectral Theory and Mathematical Physics(
Book
)
3 editions published in 2007 in English and held by 2 WorldCat member libraries worldwide
3 editions published in 2007 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
Asymptotic periodic solution of the branched toda lattice by Chern Lu(
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
Theory of wave propagation along a nonlinear lattice has been developed extensively since 1960, but only recently, have people begun to study similar problems along branched lattices. Of particular relevance to this thesis is the work of three Japanese mathematicians Kazufumi OZAWA, Masami OKADA, Hiromi KOKUTA, who performed a variety of numerical calculations on a branched electrical circuit lattice, and discovered interesting new nonlinear phenomena. The goal of my research is to analyze some of the phenomena observed in their work. In the first part of the thesis, we considered two simple model problems, the first is the linearization of the nonlinear branched lattice, and the second is a special truncation of the nonlinear branched lattice, which we analyze for large time behavior. Considerable insight about the full nonlinear branched lattice can be gained from these models. In the second part of the thesis, we proved our main result showing that the asymptotic behavior of the nonlinear lattice's solution can be described by a wave motion which bifurcates from the linearized lattice's solution. The main technical tool in the construction of the above nonlinear asymptotic wave motion is Banach Fixed Point Theorem, LypunovSchmidt Decomposition of the kind considered in (DKV), where the authors analyzed a related problem
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
Theory of wave propagation along a nonlinear lattice has been developed extensively since 1960, but only recently, have people begun to study similar problems along branched lattices. Of particular relevance to this thesis is the work of three Japanese mathematicians Kazufumi OZAWA, Masami OKADA, Hiromi KOKUTA, who performed a variety of numerical calculations on a branched electrical circuit lattice, and discovered interesting new nonlinear phenomena. The goal of my research is to analyze some of the phenomena observed in their work. In the first part of the thesis, we considered two simple model problems, the first is the linearization of the nonlinear branched lattice, and the second is a special truncation of the nonlinear branched lattice, which we analyze for large time behavior. Considerable insight about the full nonlinear branched lattice can be gained from these models. In the second part of the thesis, we proved our main result showing that the asymptotic behavior of the nonlinear lattice's solution can be described by a wave motion which bifurcates from the linearized lattice's solution. The main technical tool in the construction of the above nonlinear asymptotic wave motion is Banach Fixed Point Theorem, LypunovSchmidt Decomposition of the kind considered in (DKV), where the authors analyzed a related problem
Approximation by Quantized Sums by Van Molino(
Book
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
In one dimension, the problem amounts to understanding the lengths of intervals produced by neighboring weighted binary sums. This interpretation allows us to find an exact expression for the worst error that will be encountered when using these sums to approximate, referred to as the global error. However, we find that global error is only part of the story and, for many choices of vectors, we can approximate with much greater accuracy locally. We investigate the local error behavior for several settings. In particular, we utilize the notion of discrepancy to find local results for the case where the vectors are chosen to be piecewise constant
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
In one dimension, the problem amounts to understanding the lengths of intervals produced by neighboring weighted binary sums. This interpretation allows us to find an exact expression for the worst error that will be encountered when using these sums to approximate, referred to as the global error. However, we find that global error is only part of the story and, for many choices of vectors, we can approximate with much greater accuracy locally. We investigate the local error behavior for several settings. In particular, we utilize the notion of discrepancy to find local results for the case where the vectors are chosen to be piecewise constant
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Related Identities
 Tomei, Carlos Editor
 Beals, Richard 1938 Author
 Li, LuenChau 1954 Editor
 Levermore, C. D. Other Editor
 Wayne, C. Eugene 1956 Other 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
Combinatorial analysis 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 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 Amerikaans wiskundige
Percy Deift amerikansk matematikar
Percy Deift amerikansk matematiker
Percy Deift USamerikanischer Mathematiker
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