Generalized criteria for uniqueness of Gibbs measures

Hongbo Zhou; Zhiming Zheng

Generalized criteria for uniqueness of Gibbs measures

Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We study the uniqueness of Gibbs measures constructed on infinite graphs, in which the vertexes admit certain markov properties related to the connectivity properties of the graphs. Inspired by Weitz and Winkler's work, we generalize Dobrushin's influence of site to site via sites to a more general form of block to block via blocks by path coupling technique. Our condition for uniqueness of Gibbs measure, is a mathematical statement of the spatial correlation decay conjecture.

Original language	English
Title of host publication	2008 19th International Conference on Pattern Recognition, ICPR 2008
State	Published - 1 Dec 2008
Event	2008 19th International Conference on Pattern Recognition, ICPR 2008 - Tampa, FL, United States Duration: 8 Dec 2008 → 11 Dec 2008

Publication series

Name	Proceedings - International Conference on Pattern Recognition
ISSN (Print)	1051-4651

Conference

Conference	2008 19th International Conference on Pattern Recognition, ICPR 2008
Country	United States
City	Tampa, FL
Period	8/12/08 → 11/12/08

Access to Document

Link to publication in Scopus

Cite this

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title = "Generalized criteria for uniqueness of Gibbs measures",

abstract = "We study the uniqueness of Gibbs measures constructed on infinite graphs, in which the vertexes admit certain markov properties related to the connectivity properties of the graphs. Inspired by Weitz and Winkler's work, we generalize Dobrushin's influence of site to site via sites to a more general form of block to block via blocks by path coupling technique. Our condition for uniqueness of Gibbs measure, is a mathematical statement of the spatial correlation decay conjecture.",

author = "Hongbo Zhou and Zhiming Zheng",

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month = dec,

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AU - Zheng, Zhiming

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N2 - We study the uniqueness of Gibbs measures constructed on infinite graphs, in which the vertexes admit certain markov properties related to the connectivity properties of the graphs. Inspired by Weitz and Winkler's work, we generalize Dobrushin's influence of site to site via sites to a more general form of block to block via blocks by path coupling technique. Our condition for uniqueness of Gibbs measure, is a mathematical statement of the spatial correlation decay conjecture.

AB - We study the uniqueness of Gibbs measures constructed on infinite graphs, in which the vertexes admit certain markov properties related to the connectivity properties of the graphs. Inspired by Weitz and Winkler's work, we generalize Dobrushin's influence of site to site via sites to a more general form of block to block via blocks by path coupling technique. Our condition for uniqueness of Gibbs measure, is a mathematical statement of the spatial correlation decay conjecture.

UR - http://www.scopus.com/inward/record.url?scp=77957970895&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:77957970895

SN - 9781424421756

T3 - Proceedings - International Conference on Pattern Recognition

BT - 2008 19th International Conference on Pattern Recognition, ICPR 2008

Y2 - 8 December 2008 through 11 December 2008

ER -