Information, Physics, and Computation

Information, Physics, and Computation book cover

Information, Physics, and Computation

Author(s): Marc Mézard (Author)

  • Publisher: ACADEMIC
  • Publication Date: 27 Mar. 2009
  • Edition: 1st
  • Language: English
  • Print length: 584 pages
  • ISBN-10: 019857083X
  • ISBN-13: 9780198570837

Book 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.

Editorial Reviews

Review

"This book is an excellent graduate-level text on the amazing connections between modern error-correcting codes (information theory), spin glass systems (condensed matter physics), and satisfiability problems (computational complexity). Each chapter has useful exercises and a great amount of background and references for further reading on the material covered. I would expect any researcher working near the intersection of information theory, statistical physics, and combinatorial optimization to find this book to be a highly-valued resource."--James W. Harrington for Mathematical Reviews

"The authors, who are experts in these domains, open the door to important results coming out of current research in the advanced treatment of complex systems and new ways to look at important problems in computer science, mathematics, and physics."--Computing Reviews

Review

This book sets up a common language and pool of concepts, accessible to students and researchers from statistical physics, theoretical computer science/discrete mathematics, and coding/information theory.

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