Information, Physics, and Computation
Published on 22. January 2009
Book
Hardback
584 pages
978-0-19-857083-7 (ISBN)
Description
This book presents a unified approach to a rich and rapidly evolving research domain at the interface between statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. It is accessible to graduate students and researchers without a specific training in any of these fields. The selected topics include spin glasses, error correcting codes, satisfiability, and are central to each field. The approach focuses on large random instances and adopts a common probabilistic formulation in terms of graphical models. It presents message passing algorithms like belief propagation and survey propagation, and their use in decoding and constraint satisfaction solving. It also explains analysis techniques like density evolution and the cavity method, and uses them to study phase transitions.
Reviews / Votes
`Combines an exceptionally broad coverage of non-trivial problems with a treatment of sufficient depth [...] A very valuable and unique book.'ACC Coolen, King's College London `There is a growing awareness within computer science that concepts from statistical physics and information theory can provide excellent tools to study computational methods and problems. This book, by world-renowned experts
in the field, provides a lucid introduction to this exciting new interdisciplinary research area.
'
Bart Selman, Cornell University `No doubt a book of highest quality.'
Heiko Rieger, Saarland University
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
College/higher education
Graduate students, researchers, and lecturers in statistical physics, information theory, and theoretical computer science.
Illustrations
140 line drawings
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 36 mm
Weight
1279 gr
ISBN-13
978-0-19-857083-7 (9780198570837)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Professor Marc Mezard
CNRS Research Director at Universite de Paris Sud and Professor at Ecole Polytechnique, France
Marc Mezard received his PhD in 1984. He was hired in CNRS in 1981 and became research director in 1990 at Ecole Normale Superieure. He joined the Universite Paris Sud in 2001. He spent extensive periods in Rome University, in the KITP (Santa Barbara) and in MSRI (Berkeley). Author of about 150 publications, he has been
awarded the silver medal of CNRS in 1990 and the Ampere price of the French academy of science in 1996.
Dr Andrea Montanari
Assistant Professor, Stanford University and CNRS France
Andrea Montanari received a Laurea degree in Physics in 1997, and a Ph. D. in Theoretical Physics in 2001 (both from Scuola Normale Superiore in Pisa, Italy). He has been post-doctoral fellow at Laboratoire de Physique Theorique de l'Ecole Normale Superieure (LPTENS), Paris, France, and the Mathematical Sciences Research Institute, Berkeley, USA. Since 2002 he is Charge de Recherche (a permanent research position with Centre National de la Recherche Scientifique, CNRS) at LPTENS.
In September 2006 he joined Stanford University as Assistant Professor in the Departments of Electrical Engineering and Statistics.
In 2006 he was awarded the CNRS bronze medal for theoretical physics.
CNRS Research Director at Universite de Paris Sud and Professor at Ecole Polytechnique, France
Marc Mezard received his PhD in 1984. He was hired in CNRS in 1981 and became research director in 1990 at Ecole Normale Superieure. He joined the Universite Paris Sud in 2001. He spent extensive periods in Rome University, in the KITP (Santa Barbara) and in MSRI (Berkeley). Author of about 150 publications, he has been
awarded the silver medal of CNRS in 1990 and the Ampere price of the French academy of science in 1996.
Dr Andrea Montanari
Assistant Professor, Stanford University and CNRS France
Andrea Montanari received a Laurea degree in Physics in 1997, and a Ph. D. in Theoretical Physics in 2001 (both from Scuola Normale Superiore in Pisa, Italy). He has been post-doctoral fellow at Laboratoire de Physique Theorique de l'Ecole Normale Superieure (LPTENS), Paris, France, and the Mathematical Sciences Research Institute, Berkeley, USA. Since 2002 he is Charge de Recherche (a permanent research position with Centre National de la Recherche Scientifique, CNRS) at LPTENS.
In September 2006 he joined Stanford University as Assistant Professor in the Departments of Electrical Engineering and Statistics.
In 2006 he was awarded the CNRS bronze medal for theoretical physics.
Content
1. Introduction to Information Theory ; 2. Statistical physics and probability theory ; 3. Introduction to combinatorial optimization ; 4. Probabilistic toolbox ; 5. The Random Energy Model ; 6. Random Code Ensemble ; 7. Number partitioning ; 8. Introduction to replica theory ; 9. Factor graphs and graph ensembles ; 10. Satisfiability ; 11. Low-Density Parity-Check Codes ; 12. Spin glasses ; 13. Bridges: Inference and Monte Carlo ; 14. Belief propagation ; 15. Decoding with belief propagation ; 16. The assignment problem ; 17. Ising models on random graphs ; 18. Linear Boolean equations ; 19. The 1RSB cavity method ; 20. Random K-satisfiability ; 21. Glassy states in coding theory ; 22. An ongoing story