Discrete integrable geometry and physics

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Discrete integrable geometry and physics / edited by Alexander I. Bobenko and Ruedi Seiler

資料種別:

図書

出版情報:

New York : Oxford University Press, 1999

形態:

xxvii, 370 p. ; 25 cm

シリーズ名:

Oxford lecture series in mathematics and its applications ; 16 <BA2340416X>

著者名:

ISBN:

9780198501602 [0198501609] (: hc)

書誌ID:

BA42349910

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Imprint on t.p.: "Clarendon Press, Oxford"
Includes index

主題:

Discrete groups; Geometry, Algebraic; Integrable equations; Mathematical physics; Quantum groups

言語:

英語

目次情報:

List of contributors

Introduction / Alexander I. Bobenko ; Ruedi Seiler

Geometry / I：

Discretization of Surfaces and Integrable Systems / Ulrich Pinkall1：

A Discrete Version of the Darboux Transform for Isothermic Surfaces / Udo Hertrich-Jeromin ; Tim Hoffmann2：

Discrete Amsler Surfaces and a Discrete Painleve III Equation / 3：

Discrete cmc Surfaces and Discrete Holomorphic Maps / 4：

Discrete Indefinite Affine Spheres / Wolfgang K. Schief5：

Geometry of Discrete Curves and Lattices and Integrable Difference Equations / Adam Doliwa ; Paolo Maria Santini6：

Classical Systems / II：

R-matrices and Integrable Discretizations / Yuri B. Suris7：

Discrete Painleve Equations and Symmetry Reduction on the Lattice / Frank W. Nijhoff8：

Lagrangian Description of Doubly Discrete Sine-Gordon Type Models / Nadja Kutz9：

Quantum Systems / III：

Spectra of Quantum Integrals / Johannes Kellendonk10：

Algebraic Quantization of Integrable Models in Discrete Space-Time / Ludwig D. Faddeev ; Alexander Yu. Volkov11：

Affine Toda Field Theory as a Three-dimensional Integrable System / Rinat M. Kashaev ; Nikolai Yu. Reshetikhin12：

Quantum Hyperbolic Invariants of Knots / 13：

Charge Transport in the Discretized Landau Model / Thomas Richter14：

Index

List of contributors

Introduction / Alexander I. Bobenko ; Ruedi Seiler

Geometry / I：

Discretization of Surfaces and Integrable Systems / Ulrich Pinkall1：

A Discrete Version of the Darboux Transform for Isothermic Surfaces / Udo Hertrich-Jeromin ; Tim Hoffmann2：

Discrete Amsler Surfaces and a Discrete Painleve III Equation / 3：

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