Spin glasses : a challenge for mathematicians : cavity and mean field models / Michel Talagrand.

Format:

Book

Author/Creator:

Talagrand, Michel, 1952-

Series:

Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 46.

Ergebnisse der Mathematik und ihrer Grenzgebiete

Language:

English

Subjects (All):

Spin glasses--Mathematical models.

Spin glasses.

Physical Description:

ix, 586 pages : illustrations ; 24 cm.

Place of Publication:

Berlin ; New York : Springer, 2003.

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.

Notes:

Includes bibliographical references (pages [577]-584) and index.

ISBN:

3540003568

OCLC:

52509569