Author | : Michel Talagrand |
File Size | : 41,5 Mb |
Publisher | : Springer Science & Business Media |
Language | : English |
Release Date | : 11 July 2003 |
ISBN | : 3540003568 |
Pages | : 608 pages |
Spin Glasses A Challenge for Mathematicians by Michel Talagrand Book PDF Summary
In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, that physicists studied by non-rigorous methods. They predicted spectacular behaviors, previously unknown in probability theory. They believe these behaviors occur in many models of considerable interest for several branches of science (statistical physics, neural networks and computer science). This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics, and contains proofs in complete detail of much of what is rigorously known on spin glasses at the time of writing.