Path Coupling and Aggregate Path Coupling

• Main Authors: Kovchegov, Yevgeniy (Author, http://id.loc.gov/vocabulary/relators/aut), Otto, Peter T. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Probability and Mathematical Statistics,
• Subjects: Probabilities.; Probability Theory and Stochastic Processes.
• Physical Description: XI, 96 p. 12 illus., 4 illus. in color. online resource.
• ISBN: 9783319770192
• ISSN: 2365-4333
• DOI: 10.1007/978-3-319-77019-2

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.