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.

Contents:

• 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 Horváthy)
• 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 W_N 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