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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.
"Papers presented at the Nankai Symposium on 'Lattice Statistics and Mathematical Physics ... took place at the Nankai Institute of Mathematics in Tianjin, China"--P. v.
This volume is the most up-to-date review on Lattice Gauge Theories and Monte Carlo Simulations. It consists of two parts. Part one is an introductory lecture on the lattice gauge theories in general, Monte Carlo techniques and on the results to date. Part two consists of important original papers in this field. These selected reprints involve the following: Lattice Gauge Theories, General Formalism and Expansion Techniques, Monte Carlo Simulations. Phase Structures, Observables in Pure Gauge Theories, Systems with Bosonic Matter Fields, Simulation of Systems with Fermions.
Vol. 1. I. Introduction -- II. Review of the standard 123 theory -- III. Grand unification -- IV. SO(10) -- V. Exceptional unification -- VI. Reality and complexity of the world -- VII. Proton decay -- VIII. Family problem and orthogonal unification -- IX. Fermion mass hierarchy -- Vol. 2. X.A short course in cosmology -- XI. Genesis of matter -- XII. Introduction to the theory of galaxy formation -- XIII. Neutrinos and galaxies -- XIV. Monopoles and inflation -- XV. Hierarchy, technicolor, supersymmetry, and variations -- XVI. Invisible axions -- XVII. Composite quarks and leptons -- XVIII. Gravity and grand unification
Volume 2 of Directions in Chaos consists of the contributions made to the Beijing Summer School on Chaotic Phenomena in Nonlinear Systems held in August 1987.
Contents: Percolation and Localization (D J Thouless)Disordered Systems — Experimental Viewpoint (J Joffrin)Lectures on Amorphous Systems (P W Anderson)Elementary Algebraic Topology Related to the Theory of Defects and Textures (V Poenaru)Models of Disordered Materials (S Kirkpatrick)Thermal and Geometrical Critical Phenomena in Random Systems (T C Lukensky)A Short Guide to Polymer Physics (P-G de Gennes)and 9 seminars Readership: Graduate students and researchers in condensed matter physics.