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Mean Field Models for Spin Glasses - Volume I: Basic Examples (Paperback, 2011 ed.)
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Mean Field Models for Spin Glasses - Volume I: Basic Examples (Paperback, 2011 ed.)
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 54
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This is a new, completely revised, updated and enlarged edition of
the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for
Mathematicians." This new edition will appear in two volumes, the
present first volume presents the basic results and methods, the
second volume is expected to appear in 2011. 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 first volume of this new and completely
rewritten edition presents six fundamental models and the basic
techniques to study them.
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