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Information, Physics, and Computation

Information, Physics, and Computation

Hardcover

Series: Oxford Graduate Texts

General MathematicsPhysics

ISBN10: 019857083X
ISBN13: 9780198570837
Publisher: Oxford University Press
Published: Mar 27 2009
Pages: 584
Weight: 2.80
Height: 1.30 Width: 6.80 Depth: 9.80
Language: English
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, adopting 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.

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