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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