An Introduction to the Theory of Spin Glasses and Neural Networks (Hardcover) (ISBN-13: 9789810218737)

This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks.The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics.

Author: V. Dotsenko
ISBN-10: 9810218737
ISBN-13: 9789810218737
Publisher: World Scientific Publishing Company
Language: English
Published: 01/01/1995
Pages: 164
Format: Hardcover
Weight: 0.76lbs
Size: 8.80h x 6.36w x 0.56d