Paperback. Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9783540114833

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Titolo: The Riemann Problem, Complete Integrability and Arithmetic Applications (Paperback)
Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Data di pubblicazione: 1982
Lingua: Inglese
ISBN 10: 3540114831
ISBN 13: 9783540114833
Rilegatura: Paperback
Condizione: new

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Riassunto

Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications

Contenuti

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 Schr�edinger 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 pad� approximants and their generalizations.- Note on generalized jacobi polynomials.- Multidimensional hermite interpolation and Pad� approximation.- Hermite-pad� 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.

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