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Path Coupling and Aggregate Path Coupling

Author: Yevgeniy Kovchegov; Peter T Otto
Publisher: Cham, Switzerland : Springer, [2018] ©2018
Series: SpringerBriefs in probability and mathematical statistics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kovchegov, Yevgeniy.
Path Coupling and Aggregate Path Coupling.
Cham, Switzerland : Springer, [2018]
(OCoLC)1022075245
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Yevgeniy Kovchegov; Peter T Otto
ISBN: 9783319770192 3319770195
OCLC Number: 1033673329
Description: 1 online resource
Contents: Preface --
Coupling, Path Coupling, and Mixing Times --
Statistical Mechanical Models and Glauber Dynamics --
Large Deviations and Equilibrium Macrostate Phase Transitions --
Path Coupling for Curie-Weiss Model --
Aggregate Path Coupling: One Dimensional Theory --
Aggregate Path Coupling: Higher Dimensional Theory --
Aggregate Path Coupling: Beyond Kn.
Series Title: SpringerBriefs in probability and mathematical statistics.
Responsibility: Yevgeniy Kovchegov, Peter T. Otto.

Abstract:

This book describes and characterizes an extension to the classical path coupling method applied to statistical mechanical models, referred to as aggregate path coupling.  Read more...

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