Information, Physics, and Computation (Oxford Graduate Texts) by Marc Mézard (PDF)

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 randominstances 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 thecavity method, and uses them to study phase transitions.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Clearly written exposition of an exciting, interdisciplinary field of research. the authors have also made many foundational contributions to the field, and their exposition strikes a nice balance between the physics and computer science making it accessible to mathematically inclined students of any of these fields.

⭐Useful book, interesting materials on the boundary of information theory, combinatorics and statistical physics. But can be hard to read since it’s fairly technical

⭐This is an excellent introduction for the multidiscipinary area that combines physics, information theory, and computer science. It startsfrom very elementary material, assuming almost zero prior knowledge,gives a comprehensive treatment of a full plate of concepts and ideasin these three disciplines, and ends with modern coding theory and itsrelationship with statistical mechanics. Personally, I have been usingthis book for quite some time and it helped me a great deal. On the downside, there is some mismatch, along the book, between the degree ofdifficulty of the concepts being taught and the level of explanation andthe rigor behind it: There are some relatively simple notions and resultswhose explanations are rather lengthy and detailed, whereas on the otherhand, more complicated ideas and results are sometimes explained verybriefly, leaving a lot to be desired. But in spite of this caveat, I stillrecommend this book warmly.

⭐But the material and is very interesting. Very interesting.

⭐An excellent overview of an active research field. Impressive in both its breadth and depth.My only critique pertains to the pace of the presentation—it is not always perfect.The explanation of some deep insights are skimmed over quite fast, while some trivial matters are explained at length.It remains a great textbook, especially when coupled with alternative sources to compensate for its problems.

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