
Statistical Mechanics of Disordered Systems: A Mathematical Perspective (Cambridge Series in Statistical and Probabilistic Mathematic) (Hardback)
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DescriptionFirst published in 2006, this selfcontained book is a graduatelevel introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a twosemester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduatelevel 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 meanfield spin glass models. In particular, progress towards a rigorous understanding of the replica symmetrybreaking solutions of the SherringtonKirkpatrick spin glass models, due to Guerra, AizenmanSimsStarr and Talagrand, is reviewed in some detail.
 Publisher: CAMBRIDGE UNIVERSITY PRESS
 Published: 30 June 2006
 Format: Hardback 324 pages
 See: Full bibliographic data
 Categories: Mathematics  Calculus & Mathematical Analysis  Differential Calculus & Equations  Probability & Statistics  Condensed Matter Physics (liquid State & Solid State Physics)  Statistical Physics
 ISBN 13: 9780521849913 ISBN 10: 0521849918
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Full bibliographic data for Statistical Mechanics of Disordered Systems
 Title
 Statistical Mechanics of Disordered Systems
 Subtitle
 A Mathematical Perspective
 Authors and contributors
 Physical properties
 Format: Hardback
Number of pages: 324
Width: 179 mm
Height: 254 mm
Thickness: 20 mm
Weight: 806 g  Language
 English
 ISBN
 ISBN 13: 9780521849913
ISBN 10: 0521849918  Classifications
BIC E4L: MAT
Nielsen BookScan Product Class 3: S7.8
B&T Book Type: NF
B&T Modifier: Region of Publication: 03
LC subject heading:
BIC subject category V2: PB
LC subject heading:
BIC subject category V2: PHS
LC subject heading:
DC22: 519.5
B&T General Subject: 710
WarengruppenSystematik des deutschen Buchhandels: 16200
B&T Modifier: Academic Level: 02
Ingram Subject Code: MA
Libri: IMA
B&T Modifier: Text Format: 06
LC subject heading: ,
BISAC V2.8: MAT029000
BIC subject category V2: PHFC, PBK
B&T Merchandise Category: UP
BISAC V2.8: MAT007000
LC subject heading: ,
LC classification: QC174.8 .B67 2006
Thema V1.0: PB Edition statement
 New.
 Illustrations note
 30 figures
 Publisher
 CAMBRIDGE UNIVERSITY PRESS
 Imprint name
 CAMBRIDGE UNIVERSITY PRESS
 Publication date
 30 June 2006
 Publication City/Country
 Cambridge
 Table of contents
 Preface; Part I. Statistical Mechanics: 1. Introduction; 2. Principles of statistical mechanics; 3. Lattice gases and spin systems; 4. Gibbsian formalism; 5. Cluster expansions; Part II. Disordered Systems: Lattice Models: 6. Gibbsian formalism and metastates; 7. The random field Ising model; Part III: Disordered Systems: Mean Field Models: 8. Disordered mean field models; 9. The random energy model; 10. Derrida's generalised random energy models; 11. The SK models and the Parisi solution; 12. Hopfield models; 13. The number partitioning problem; Bibliography; Index of notation; Index.