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.

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Spectral Theory and Mathematical Physics : A Festschrift in Honor of Barry Simon's 60th Birthday: a Conference on Spectral Theory and Mathematical Physics in Honor of Barry Simon's 60th Birthday March 27-31 2006, California Institute of Technology Pasadena, California

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday: Ergodic Schrödinger Operators, Singular Spectrum, Orthogonal ... of Symposia in Pure Mathematics)

Fritz Gesztesy; Percy Deift; American Mathematical Society; California Institute of Technology; Conference on Spectral Theory and Mathematical Physics

Gesztesy, Fritz; Simon, Barry; American Mathematical Society

Fritz Gesztesy ... [et al.], editors

Barry Simon, Fritz Gesztesy

Proceedings of symposia in pure mathematics -- v.76, Providence, R.I, Rhode Island, 2007

Proceedings of symposia in pure mathematics, vol. 76, 1+2, Providence R.I, 2007

American Mathematical Society, Providence, R.I., 2007

United States, United States of America

March 14, 2007

lg806478

producers:
CVISION Technologies

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"A conference on spectral theory and mathematical physics in honor of Barry Simon's 60th birthday, March 27-31, 2006, California Institute of Technology, Pasadena, California."
Includes bibliographical references

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.

Cover......Page 1
Part 2. Ergodic Schrodinger Operators, Singular Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory......Page 4
Copyright Page......Page 5
Contents......Page 6
Preface......Page 10
Random and Ergodic Schrodinger Operators, Singular Continuous Spectrum......Page 12
A New Approach to Spectral Gap Problems......Page 14
Strictly Ergodic Subshifts and Associated Operators......Page 20
Lyapunov Exponents and Spectral Analysis of Ergodic Schrodinger Operators: A Survey of Kotani Theory and Its Applications......Page 54
Spectral Properties of Schrodinger Operators with Decaying Potentials......Page 80
On the Formation of Gaps in the Spectrum of Schrodinger Operators with Quasi-Periodic Potentials......Page 106
Ergodic Schrodinger Operators (on one foot)......Page 128
The Integrated Density of States for Random Schrodinger Operators......Page 164
Exotic Spectra: A Review of Barry Simon's Central Contributions......Page 212
Orthogonal Polynomials, Inverse Spectral Theory......Page 228
Riemann-Hilbert Methods in the Theory of Orthogonal Polynomials......Page 230
Inverse Spectral Theory as Influenced by Barry Simon......Page 256
Orthogonal Polynomials: From Jacobi to Simon......Page 336
Orthogonal Polynomials: The First Minutes......Page 390
Spectral Theory via Sum Rules......Page 422
Barry Simon's List of Publications......Page 446

Pt. 1. Quantum Field Theory, Statistical Mechanics, And Nonrelativistic Quantum Systems -- Pt. 2. Ergodic Schrödinger Operators, Singular Spectrum, Orthogonal Polynomials, And Inverse Spectral Theory. Fritz Gesztesy ... [et Al.], Editors. A Conference On Spectral Theory And Mathematical Physics In Honor Of Barry Simon's 60th Birthday, March 27-31, 2006, California Institute Of Technology, Pasadena, California. Includes Bibliographical References.

Contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Non relativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semi non relativistic Limit.

2012-03-09