Path Coupling and Aggregate Path Coupling

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book Path Coupling and Aggregate Path Coupling by Yevgeniy Kovchegov, Peter T. Otto, Springer International Publishing
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Author: Yevgeniy Kovchegov, Peter T. Otto ISBN: 9783319770192
Publisher: Springer International Publishing Publication: April 30, 2018
Imprint: Springer Language: English
Author: Yevgeniy Kovchegov, Peter T. Otto
ISBN: 9783319770192
Publisher: Springer International Publishing
Publication: April 30, 2018
Imprint: Springer
Language: English

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.

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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.

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