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This is an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variational characterization and the phase transition of the Ising model, in a text intended for a one semester or quarter course. The book begins with a straightforward approach to the key ideas and results of large deviation theory in the context of independent identically distributed random variables. This includes Cramér's theorem, relative entropy, Sanov's theorem, process level large deviations, convex duality, and change of measure arguments. D...
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"...Extraordinary: Gibbs has popped the hood and taken apart the engine of commercial design and development, showing us each individual part and explaining fit, form and function." —Yaromir Steiner, Founder, Chief Executive Officer, Steiner + Associates "...the most comprehensive and expansive book ever written on the subject of Retail Real Estate Development. Gibbs is by far the most prominent advocate for reforming retail planning and development in order to return American cities to economic and physical prominence." –Stefanos Polyzoides, Moule & Polyzoides Architects & Urbanists The retail environment has evolved rapidly in the past few decades, with the retailing industry and its p...
Includes section, "Recent book acquisitions" (varies: Recent United States publications) formerly published separately by the U.S. Army Medical Library.