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目次情報: 続きを見る

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：

目次情報: 続きを見る

Preface

Introduction / 1：

Preliminaries on Lie groups / 2：

Hopf algebras, quantum groups and braided spaces / 3：

Stochastic Processes on quantum groups / 4：

Markov Structure of quantum Levy Processes / 5：

Diffusions on braided spaces / 6：

Evolution equations and Levy processes on quantum groups / 7：

Gauss Laws in the sense of Bernstein on quantum groups / 8：

Phase retrieval for probability distributions on quantum groups / 9：

Limit theorems on quantum groups / 10：

Bibliography

Index

Preface

Introduction / 1：

Preliminaries on Lie groups / 2：