Authors:
- 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
Part of the book series: SpringerBriefs in Probability and Mathematical Statistics (SBPMS)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Department of Mathematics, Oregon State University, Corvallis, USA
Yevgeniy Kovchegov
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Department of Mathematics, Willamette University, Salem, USA
Peter T. Otto
Bibliographic Information
Book Title: Path Coupling and Aggregate Path Coupling
Authors: Yevgeniy Kovchegov, Peter T. Otto
Series Title: SpringerBriefs in Probability and Mathematical Statistics
DOI: https://doi.org/10.1007/978-3-319-77019-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018 2018
Softcover ISBN: 978-3-319-77018-5Published: 17 May 2018
eBook ISBN: 978-3-319-77019-2Published: 30 April 2018
Series ISSN: 2365-4333
Series E-ISSN: 2365-4341
Edition Number: 1
Number of Pages: XI, 96
Number of Illustrations: 8 b/w illustrations, 4 illustrations in colour