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丛 书 名:Oxford graduate texts
I S B N:(纸本) 9780198570837
出 版 社:Oxford University Press
出 版 年:2009年
主 题 词:Physics - General Miscellaneous Network Programming Computer Science Combinatorics General Miscellaneous Computing Cryptography
学科分类:0809[工学-电子科学与技术(可授工学、理学学位)] 07[理学] 08[工学] 0702[理学-物理学]
摘 要: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.