UID:
almafu_9959241337602883
Format:
1 online resource (xiv, 312 pages) :
,
digital, PDF file(s).
Edition:
1st ed.
ISBN:
1-107-15343-3
,
1-280-48005-X
,
9786610480050
,
0-511-16868-3
,
0-511-16911-6
,
0-511-16769-5
,
0-511-31455-8
,
0-511-61680-5
,
0-511-16823-3
Series Statement:
Cambridge series in statistical and probabilistic mathematics ; [18]
Content:
This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical understanding of mean-field spin glass models. In particular, progress towards a rigorous understanding of the replica symmetry-breaking solutions of the Sherrington-Kirkpatrick spin glass models, due to Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in some detail.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Principles of statistical mechanics -- Lattice gases and spin systems -- Gibbsian formalism for lattice spin systems -- Cluster expansions -- Gibbsian formalism and metastates -- The random-field Ising model -- Disordered mean-field models -- The random energy model -- Derrida's generalized random energy models -- The SK models and the Parisi solution -- Hopfield models -- The number partitioning problem.
,
English
Additional Edition:
ISBN 1-107-40533-5
Additional Edition:
ISBN 0-521-84991-8
Language:
English
Subjects:
Physics
,
Mathematics
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
https://doi.org/10.1017/CBO9780511616808
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