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The Sherrington-Kirkpatrick Model (Hardcover, 2013 ed.)
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The Sherrington-Kirkpatrick Model (Hardcover, 2013 ed.)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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The celebrated Parisi solution of the Sherrington-Kirkpatrick model
for spin glasses is one of the most important achievements in the
field of disordered systems. Over the last three decades, through
the efforts of theoretical physicists and mathematicians, the
essential aspects of the Parisi solution were clarified and proved
mathematically. The core ideas of the theory that emerged are the
subject of this book, including the recent solution of the Parisi
ultrametricity conjecture and a conceptually simple proof of the
Parisi formula for the free energy. The treatment is self-contained
and should be accessible to graduate students with a background in
probability theory, with no prior knowledge of spin glasses. The
methods involved in the analysis of the Sherrington-Kirkpatrick
model also serve as a good illustration of such classical topics in
probability as the Gaussian interpolation and concentration of
measure, Poisson processes, and representation results for
exchangeable arrays.
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