Statistical Physics Optimization Inference And Message Passing Algorithms
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Statistical Physics, Optimization, Inference, and Message-Passing Algorithms
Author: Florent Krzakala
language: en
Publisher: Oxford University Press
Release Date: 2016
In the last decade, there have been an increasing convergence of interest and methods between theoretical physics and fields as diverse as probability, machine learning, optimization and compressed sensing. In particular, many theoretical and applied works in statistical physics and computer science have relied on the use of message passing algorithms and their connection to statistical physics of spin glasses. The aim of this book, especially adapted to PhD students, post-docs, and young researchers, is to present the background necessary for entering this fast developing field.
Statistical Mechanics in a Nutshell, Second Edition
Author: Luca Peliti
language: en
Publisher: Princeton University Press
Release Date: 2024-08-06
The essential introduction to modern statistical mechanics—now completely updated and expanded Statistical mechanics is one of the most exciting areas of physics today and has applications to subjects ranging from economics and social behavior to algorithmic theory and evolutionary biology. Statistical Mechanics in a Nutshell provides a self-contained introduction to this rapidly developing field. Starting with the basics of kinetic theory and requiring only a background in elementary calculus and mechanics, this concise book discusses the most important developments of recent decades and guides readers to the very threshold of today’s cutting-edge research. Features a new chapter on stochastic thermodynamics with an introduction to the thermodynamics of information—the first treatment of its kind in an introductory textbook Offers a more detailed account of numerical simulations, including simulated annealing and other accelerated Monte Carlo methods The chapter on complex systems now features an accessible introduction to the replica theory of spin glasses and the Hopfield theory of neural networks, with an emphasis on applications Provides a new discussion of defect-mediated transitions and their implications for two-dimensional melting An invaluable resource for graduate students and advanced undergraduates seeking a compact primer on the core ideas of statistical mechanics Solutions manual (available only to instructors)
Active Matter and Nonequilibrium Statistical Physics
The topic of the CXII session of the Les Houches Summer School, held in September 2018, was Active Matter and Nonequilibrium Statistical Physics, offering a broad introduction to the foundations and modern applications of active matter and nonequilibrium physics.