國立高雄大學圖資館 |

Language: English

Back

Path coupling and aggregate path cou...

Kovchegov, Yevgeniy.

Path coupling and aggregate path coupling

Record Type:	Electronic resources : Monograph/item
Title/Author:	Path coupling and aggregate path couplingby 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$q(electronic bk.)

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$q(electronic bk.)

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

815121
Path analysis (Statistics)

LC Class. No.: QA278.3

Dewey Class. No.: 519.53

Path coupling and aggregate path coupling
LDR:02057nmm a2200337 a 4500 001 537920
003 DE-He213
005 20180430074145.0
006 m d
007 cr nn 008maaau
008 190116s2018 gw s 0 eng d
020 $a 9783319770192$q(electronic bk.)
020 $a 9783319770185$q(paper)
024 7 $a 10.1007/978-3-319-77019-2 $2 doi
035 $a 978-3-319-77019-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA278.3
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.53 $2 23
090 $a QA278.3 $b .K88 2018
100 1 $a Kovchegov, Yevgeniy. $3 815119
245 1 0 $a Path coupling and aggregate path coupling $h [electronic resource] / $c by Yevgeniy Kovchegov, Peter T. Otto.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
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 815121
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
700 1 $a Otto, Peter T. $3 815120
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in probability and mathematical statistics. $3 732767
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-77019-2
950 $a Mathematics and Statistics (Springer-11649)