Discrete Integrable Geometry and Physics.(Oxford Lecture Ser. in Mathematics and Its Applications No. 16) hardcover 400 p., 8 pl
著者紹介
内容
目次
I: GEOMETRY; 1. A. Bobenko & U. Pinkall; Discretization of Surfaces andIntegrable Systems; 2. U. Hertrich-Jeromin, T. Hoffmann & U. Pinkall; ADiscrete Version of the Darboux Transform for Isothermic Surfaces DarbouxTransform for Isothermic Surfaces; 3. T. Hoffmann; Discrete Amsler Surfacesand a Discrete Painleve III Equation; 4. T. Hoffmann; Discrete cmc Surfacesand Discrete Holomorphic Maps; 5. A. Bobenko & W. Schief; Discrete IndefiniteAffine Spheres; 6. A. Doliwa & P. M. Santini; Geometry of Discrete Curves andLattices and Integrable Difference Equations; II: CLASSICAL SYSTEMS; 7. Y.Suris; R-matrices and Integrable Discretizations; 8. F. Nijhoff; DiscretePainleve Equations and Symmetry Reduction on the Lattice; 9. N. Kutz;Lagrangian Description of Doubly Discrete Sine-Gordon Type Models; III:QUANTUM SYSTEMS; 10. J. Kellendonk, N. Kutz & R. Seiler; Spectra of QuantumIntegrals; 11. L. Faddeev & A. Volkov; Algebraic Quantization of IntegrableModels in Discrete Space-Time; 12. R. Kashaev & N. Reshetikhin; Affine TodaField Theory as a Three-Dimensional Integrable System; 13. R. Kashaev;Quantum Hyperbolic Invariants of Knots; 14. T. Richter & R. Seiler; ChargeTransport in the Discretized Landau Model
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