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
(Sprache: Englisch)
Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications
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Klappentext zu „The Riemann Problem, Complete Integrability and Arithmetic Applications “
Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications
Inhaltsverzeichnis zu „The Riemann Problem, Complete Integrability and Arithmetic Applications “
Continuous exponents of spin correlation functions of inhomogeneous layered ising models.- to holonomic quantum fields.- Planar ising ferromagnet: correlation functions and the inverse scattering method.- Infinite component ?-models and instanton solutions.- Infinite component two-dimensional completely integrable systems of KdV type.- The representation of an arbitrary, two-dimensional completely integrable system as the common action of two commuting one-dimensional Hamiltonian flows.- Self-duality of Yang-Mills fields and of gravitational instantons.- On proving the nonintegrability of a Hamiltonian system.- Classical solutions in nonlinear Euclidean field theory and complete integrability.- Hamiltonian structure of isospectral deformation equations. Elliptic curve case.- Quantum Hamiltonians associated with finite-dimensional Lie algebras and factorized s-matrices.- Classical and quantum operator nonlinear schrodinger equation. I.- Trace identities for the Schröedinger operator and the WKB method.- Zeta functions of the quartic (and homogeneous anharmonic) oscillators.- On trace formula.- Resolvent and trace identities in the one dimensional case.- The devil's stair case transformation in incommensurate lattices.- The convergence of padé approximants and their generalizations.- Note on generalized jacobi polynomials.- Multidimensional hermite interpolation and Padé approximation.- Hermite-padé approximations to exponential functions and elementary estimates of the measure of irrationality of ?.- Criteria of algebraic independence of several numbers.- Rational approximation for non-linear ordinary differential equations.
Bibliographische Angaben
- 1982, 384 Seiten, Maße: 15,5 x 23,5 cm, Taschenbuch, Englisch
- Herausgegeben: G. Chudnovsky, D. Chudnovsky
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540114831
- ISBN-13: 9783540114833
- Erscheinungsdatum: 01.04.1982
Sprache:
Englisch
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