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Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday: Ergodic Schrödinger Operators, Singular Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory
 
Edited by: Fritz Gesztesy University of Missouri, Columbia, Columbia, MO
Percy Deift New York University, Courant Institute, New York, NY
Cherie Galvez California Institute of Technology, Pasadena, CA
Peter Perry University of Kentucky, Lexington, KY
Wilhelm Schlag University of Chicago, Chicago, IL
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday
Hardcover ISBN:  978-0-8218-4249-2
Product Code:  PSPUM/76.2
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9383-8
Product Code:  PSPUM/76.2.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-4249-2
eBook: ISBN:  978-0-8218-9383-8
Product Code:  PSPUM/76.2.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday
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Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday: Ergodic Schrödinger Operators, Singular Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory
Edited by: Fritz Gesztesy University of Missouri, Columbia, Columbia, MO
Percy Deift New York University, Courant Institute, New York, NY
Cherie Galvez California Institute of Technology, Pasadena, CA
Peter Perry University of Kentucky, Lexington, KY
Wilhelm Schlag University of Chicago, Chicago, IL
Hardcover ISBN:  978-0-8218-4249-2
Product Code:  PSPUM/76.2
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9383-8
Product Code:  PSPUM/76.2.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-4249-2
eBook ISBN:  978-0-8218-9383-8
Product Code:  PSPUM/76.2.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 762007; 464 pp
    MSC: 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 Two-Body 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.

    Readership

    Research 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 quasi-periodic 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 — Riemann-Hilbert 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 762007; 464 pp
MSC: 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 Two-Body 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.

Readership

Research mathematicians interested in mathematical physics and spectral theory.

This item is also available as part of a set:
  • 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 quasi-periodic 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 — Riemann-Hilbert 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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