Path Coupling and Aggregate Path Coupling
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Beschreibung
This book describes and characterizes an extension to the classical path coupling method applied to statistical mechanical models, referred to as aggregate path coupling. In conjunction with large deviations estimates, the aggregate path coupling method is used to prove rapid mixing of Glauber dynamics for a large class of statistical mechanical models, including models that exhibit discontinuous phase transitions which have traditionally been more difficult to analyze rigorously. The book shows how the parameter regions for rapid mixing for several classes of statistical mechanical models are derived using the aggregate path coupling method.
Provides a comprehensive background on coupling and path coupling Can be used as a standalone research monograph Considered to be the first comprehensive book on the topic
Autor*in
Yevgeniy Kovchegov
Themen in »Path Coupling and Aggregate Path Coupling«
Path Coupling Aggregate Path Coupling Statistical Mechanical Models Gibbs Measure Glauber Dynamics Large Deviation Principle Mixing Time Equlibrium Phase Transition