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Path Coupling And Aggregate Path Coupling - ENG

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ISBN: 9783319770192
Formato: ePub
Idioma: Inglés
Editorial: Springer Nature
Tema: Matemáticas
Subtema: Probabilidad y estadística general
Año de publicación: 2018-04-30

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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