Path Coupling and Aggregate Path Coupling
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 dynam...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing,
2018.
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| Edition: | 1st ed. 2018. |
| Series: | SpringerBriefs in Probability and Mathematical Statistics,
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| Subjects: | |
| ISBN: | 9783319770192 |
| ISSN: | 2365-4333 |
| Online Access: |
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| 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 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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| Item Description: | Mathematics and Statistics |
| Physical Description: | XI, 96 p. 12 illus., 4 illus. in color. online resource. |
| ISBN: | 9783319770192 |
| ISSN: | 2365-4333 |