This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Institute of Mathematics, October 7-11, 2001. The collection of papers is aimed at researchers, including graduate students, with an interdisciplinary interest and gives a brief introduction to many of the topics of current interest. These include new results on exactly solvable models in statistical mechanics, integrable through the Yang-Baxter equations, quantum groups, fractional statistics, random matrices, index theorems on the lattice, combinatorics, and other related topics.
Happer's Curious Degeneracies and Yangian (C-M Bai et al.); The Rotor Model and Combinatorics (M T Batchelor et al.); Mutually Local Fields from Form Factors (A Fring); Dimers and Spanning Trees: Some Recent Results (F Y Wu); Exotic Galilean Symmetry and the Hall Effect (C Duval & P A Horvathy); The Three-State Chiral Clock Model (B-Q Jin et al.); Quantum Dynamics and Random Matrix Theory (H Kunz); Short-Time Behaviors of Long-Ranged Interactions (H Fang et al.); Comments on the Deformed WN Algebra (S Odake); New Results for Susceptibilities in Planar Ising Models (H Au-Yang & J H H Perk); Limitations on Quantum Control (A I Solomon & S G Schirmer); R-Matrices and the Tensor Product Graph Method (M D Gould & Y-Z Zhang); and other papers.