E-Book, Englisch, 96 Seiten
Reihe: SpringerBriefs in Probability and Mathematical Statistics
Kovchegov / Otto Path Coupling and Aggregate Path Coupling
1. Auflage 2018
ISBN: 978-3-319-77019-2
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 96 Seiten
Reihe: SpringerBriefs in Probability and Mathematical Statistics
ISBN: 978-3-319-77019-2
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
