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Path coupling and aggregate path coupling

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Path coupling and aggregate path coupling/ by Yevgeniy Kovchegov, Peter T. Otto.
Author:	Kovchegov, Yevgeniy.
other author:	Otto, Peter T.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xi, 96 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Path analysis (Statistics) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-77019-2
ISBN:	9783319770192

Path coupling and aggregate path coupling
Kovchegov, Yevgeniy.

Path coupling and aggregate path coupling[electronic resource] /by Yevgeniy Kovchegov, Peter T. Otto. - Cham :Springer International Publishing :2018. - xi, 96 p. :ill., digital ;24 cm. - SpringerBriefs in probability and mathematical statistics,2365-4333. - SpringerBriefs in probability and mathematical statistics..

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.

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.

ISBN: 9783319770192

Standard No.: 10.1007/978-3-319-77019-2doiSubjects--Topical Terms:

1203961
Path analysis (Statistics)

LC Class. No.: QA278.3

Dewey Class. No.: 519.53

Path coupling and aggregate path coupling
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245 1 0 $a Path coupling and aggregate path coupling $h [electronic resource] / $c by Yevgeniy Kovchegov, Peter T. Otto.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xi, 96 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in probability and mathematical statistics, $x 2365-4333
505 0 $a 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.
520 $a 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.
650 0 $a Path analysis (Statistics) $3 1203961
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
700 1 $a Otto, Peter T. $3 1203960
710 2 $a SpringerLink (Online service) $3 593884
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830 0 $a SpringerBriefs in probability and mathematical statistics. $3 1070533
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-77019-2
950 $a Mathematics and Statistics (Springer-11649)