Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. Statistical Mechanics of Disordered Systems
  • Cited by 103
  • Anton Bovier, Technische Universität Berlin and Weierstraβ-Institut für Angewandte Analysis und Stochastik
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
2006
Online ISBN:
9780511616808
DOI:
https://doi.org/10.1017/CBO9780511616808
Subjects:
Physics and Astronomy, Probability Theory and Stochastic Processes, Theoretical Physics and Mathematical Physics, General Statistics and Probability, Statistics and Probability
Series:
Cambridge Series in Statistical and Probabilistic Mathematics (18)
Information

Book description

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.

Reviews

'… a graduate-level introduction for mathematicians and physicists 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 some basic knowledge of classical physics; on the mathematics side, the reader should have a good working knowledge of graduate level probability theory.'

Source: L'enseignement mathematique

'Bovier's book contains a huge amount of material on statistical mechanics of disordered systems, arranged in a coherent way. The results are fascinating and the mathematics beautiful and deep. The wealth of ideas is enormous. This book constitutes a very complete and comprehensive treatise on the analysis of disordered systems. It is an indispensable reference in the field and it is suitable as well for advanced graduate courses. There is no doubt that this book will be influential.'

Source: MathSciNet

'…the value and usefulness of the book by A. Bovier for anyone interested in the rigourous theory of disordered (spin) systems can be hardly overestimated.'

Source: Journal of Statistical Physics

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.