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Mean Field Models for Spin Glasses: Volume II: Advanced Replica-Symmetry and Low Temperature

Mean Field Models for Spin Glasses: Volume II: Advanced Replica-Symmetry and Low Temperature

Paperback

Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /, Book 55

PhysicsProbability & Statistics

ISBN10: 3642270948
ISBN13: 9783642270949
Publisher: Springer Nature
Published: Nov 21 2013
Pages: 632
Weight: 1.96
Height: 1.30 Width: 6.14 Depth: 9.21
Language: English

This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: Spin Glasses: A Challenge for Mathematicians in two volumes (this is the 2nd volume). 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, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by non-rigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The present Volume II contains a considerable amount of new material, in particular all the fundamental low-temperature results obtained after the publication of the first edition.

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