Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday - Ergodic Schrodinger Operators, Singular Spectrum, Or

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday - Ergodic Schrodinger Operators, Singular Spectrum, Or


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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 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 Schrodinger 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. 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.


Random and ergodic Schrodinger operators, singular continuous spectrum: A new approach to spectral gap problems by J. Bourgain Strictly ergodic subshifts and associated operators by D. Damanik Lyapunov exponents and spectral analysis of ergodic Schrodinger operators: A survey of Kotani theory and its applications by D. Damanik Spectral properties of Schrodinger operators with decaying potentials by S. A. Denisov and A. Kiselev On the formation of gaps in the spectrum of Schrodinger operators with quasiperiodic potentials by M. Goldstein and W. Schlag Ergodic Schrodinger operators (on one foot) by S. Jitomirskaya The integrated density of states for random Schrodinger operators by W. Kirsch and B. Metzger Exotic spectra: A review of Barry Simon's central contributions by Y. Last Orthogonal polynomials, inverse spectral theory: Riemann-Hilbert methods in the theory of orthogonal polynomials by P. Deift Inverse spectral theory as influenced by Barry Simon by F. Gesztesy Orthogonal polynomials: From Jacobi to Simon by L. Golinskii and V. Totik Orthogonal polynomials: The first minutes by S. Khrushchev Spectral theory via sum rules by R. Killip Barry Simon's list of publications by F. Gesztesy, P. Deift, C. Galvez, P. Perry, and W. Schlag.

Product Details

  • ISBN13: 9780821842492
  • Format: Hardback
  • ID: 9780821842492
  • ISBN10: 0821842498

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