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The Riemann Problem, Complete Integrability and Arithmetic Applications

Proceedings of a Seminar Held at the Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France and at Columbia University, NY, USA 1979-1980

  • Conference proceedings
  • © 1982

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Editors:
  1. David V. Chudnovsky
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    You can also search for this editor in PubMed   Google Scholar

  2. Gregory V. Chudnovsky
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 925)

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Table of contents (24 papers)

  1. Front Matter

    Pages N2-VI
    Download chapter PDF

  2. Introduction

    • David V. Chudnovsky, Gregory V. Chudnovsky
    Pages 1-11

  3. Continuous exponents of spin correlation functions of inhomogeneous layered ising models

    • Barry M. McCoy, Jacques H. H. Perk
    Pages 12-27

  4. Introduction to holonomic quantum fields

    • Tetsuji Miwa, Michio Jimbo
    Pages 28-36

  5. Planar ising ferromagnet: correlation functions and the inverse scattering method

    • D. B. Abraham
    Pages 37-56

  6. Infinite component σ-models and instanton solutions

    • D. V. Chudnovsky
    Pages 57-70

  7. Infinite component two-dimensional completely integrable systems of KdV type

    • D. V. Chudnovsky
    Pages 71-84

  8. The representation of an arbitrary, two-dimensional completely integrable system as the common action of two commuting one-dimensional Hamiltonian flows

    • D. V. Chudnovsky
    Pages 85-94

  9. Self-duality of Yang-Mills fields and of gravitational instantons

    • Jean Pierre Bourguignon
    Pages 95-102

  10. On proving the nonintegrability of a Hamiltonian system

    • Richard C. Churchill
    Pages 103-122

  11. Classical solutions in nonlinear Euclidean field theory and complete integrability

    • Mel S. Berger
    Pages 123-133

  12. Hamiltonian structure of isospectral deformation equations. Elliptic curve case

    • D. V. Chudnovsky, G. V. Chudnovsky
    Pages 134-146

  13. Quantum Hamiltonians associated with finite-dimensional Lie algebras and factorized s-matrices

    • D.V. Chudnovsky, G.V. Chudnovsky
    Pages 147-156

  14. Classical and quantum operator nonlinear schrodinger equation. I

    • D. V. Chudnovsky, G. V. Chudnovsky, A. Neveu
    Pages 157-177

  15. Trace identities for the Schröedinger operator and the WKB method

    • G. Parisi
    Pages 178-183

  16. Zeta functions of the quartic (and homogeneous anharmonic) oscillators

    • A. Voros
    Pages 184-208

  17. On trace formula

    • Lipman Bers
    Pages 209-214

  18. Resolvent and trace identities in the one dimensional case

    • D. Chudnovsky, G. Chudnovsky
    Pages 215-220

  19. The devil's stair case transformation in incommensurate lattices

    • Serge Aubry
    Pages 221-245

  20. The convergence of padé approximants and their generalizations

    • J. Nuttall
    Pages 246-257
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Keywords

Bibliographic Information

  • Book Title: The Riemann Problem, Complete Integrability and Arithmetic Applications

  • Book Subtitle: Proceedings of a Seminar Held at the Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France and at Columbia University, NY, USA 1979-1980

  • Editors: David V. Chudnovsky, Gregory V. Chudnovsky

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093494

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1982

  • Softcover ISBN: 978-3-540-11483-3Published: 01 April 1982

  • eBook ISBN: 978-3-540-39152-4Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 376

  • Topics: Analysis

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