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Hardcover ISBN:  9780821842492 
Product Code:  PSPUM/76.2 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893838 
Product Code:  PSPUM/76.2.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821842492 
eBook ISBN:  9780821893838 
Product Code:  PSPUM/76.2.B 
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MAA Member Price:  $246.60 $185.85 
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 76; 2007; 464 ppMSC: Primary 34; 37; 42; 47; 60; 81
This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27–31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to a particular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic TwoBody and \(N\)Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random and Ergodic Schrödinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. Exhaustive lists of references enhance the presentation offered in these surveys.
A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensive introduction into an area covered in this volume.
ReadershipResearch mathematicians interested in mathematical physics and spectral theory.
This item is also available as part of a set: 
Table of Contents

Random and ergodic Schrödinger operators, singular continuous spectrum

Jean Bourgain — A new approach to spectral graph problems [ MR 2307745 ]

David Damanik — Strictly ergodic subshifts and associated operators [ MR 2307746 ]

David Damanik — Lyapunov exponents and spectral analysis of ergodic Schrödinger operators: a survey of Kotani theory and its applications [ MR 2307747 ]

Sergey A. Denisov and Alexander Kiselev — Spectral properties of Schrödinger operators with decaying potentials [ MR 2307748 ]

Michael Goldstein and Wilhelm Schlag — On the formation of gaps in the spectrum of Schrödinger operators with quasiperiodic potentials [ MR 2307749 ]

Svetlana Jitomirskaya — Ergodic Schrödinger operators (on one foot) [ MR 2307750 ]

Werner Kirsch and Bernd Metzger — The integrated density of states for random Schrödinger operators [ MR 2307751 ]

Yoram Last — Exotic spectra: A review of Barry Simon’s central contributions [ MR 2307752 ]

Orthogonal polynomials, inverse spectral theory

Percy Deift — RiemannHilbert methods in the theory of orthogonal polynomials [ MR 2307753 ]

Fritz Gesztesy — Inverse spectral theory as influenced by Barry Simon [ MR 2307754 ]

Leonid Golinskii and Vilmos Totik — Orthogonal polynomials: From Jacobi to Simon [ MR 2307755 ]

Sergey Khrushchev — Orthogonal polynomials: The first minutes [ MR 2310216 ]

Rowan Killip — Spectral theory via sum rules [ MR 2310217 ]


Additional Material

Reviews

Both nicely edited volumes sum almost 1000 pages of interesting surveys and exhaustive bibliography that clearly benefits graduate students and researchers seeking for a quick introduction into areas mentioned above. Even if you are interested only in the topics covered in Part II, don't miss 'A selection of Barry stories' at the beginning of Volume I. After having a chance to collaborate with Barry, I felt totally identified with the stories, mostly humorous, but reflecting Simon's energy, passion and style of work.
Journal of Approximation Theory


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This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27–31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to a particular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic TwoBody and \(N\)Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random and Ergodic Schrödinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. Exhaustive lists of references enhance the presentation offered in these surveys.
A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensive introduction into an area covered in this volume.
Research mathematicians interested in mathematical physics and spectral theory.

Random and ergodic Schrödinger operators, singular continuous spectrum

Jean Bourgain — A new approach to spectral graph problems [ MR 2307745 ]

David Damanik — Strictly ergodic subshifts and associated operators [ MR 2307746 ]

David Damanik — Lyapunov exponents and spectral analysis of ergodic Schrödinger operators: a survey of Kotani theory and its applications [ MR 2307747 ]

Sergey A. Denisov and Alexander Kiselev — Spectral properties of Schrödinger operators with decaying potentials [ MR 2307748 ]

Michael Goldstein and Wilhelm Schlag — On the formation of gaps in the spectrum of Schrödinger operators with quasiperiodic potentials [ MR 2307749 ]

Svetlana Jitomirskaya — Ergodic Schrödinger operators (on one foot) [ MR 2307750 ]

Werner Kirsch and Bernd Metzger — The integrated density of states for random Schrödinger operators [ MR 2307751 ]

Yoram Last — Exotic spectra: A review of Barry Simon’s central contributions [ MR 2307752 ]

Orthogonal polynomials, inverse spectral theory

Percy Deift — RiemannHilbert methods in the theory of orthogonal polynomials [ MR 2307753 ]

Fritz Gesztesy — Inverse spectral theory as influenced by Barry Simon [ MR 2307754 ]

Leonid Golinskii and Vilmos Totik — Orthogonal polynomials: From Jacobi to Simon [ MR 2307755 ]

Sergey Khrushchev — Orthogonal polynomials: The first minutes [ MR 2310216 ]

Rowan Killip — Spectral theory via sum rules [ MR 2310217 ]

Both nicely edited volumes sum almost 1000 pages of interesting surveys and exhaustive bibliography that clearly benefits graduate students and researchers seeking for a quick introduction into areas mentioned above. Even if you are interested only in the topics covered in Part II, don't miss 'A selection of Barry stories' at the beginning of Volume I. After having a chance to collaborate with Barry, I felt totally identified with the stories, mostly humorous, but reflecting Simon's energy, passion and style of work.
Journal of Approximation Theory