Generalized criteria for uniqueness of Gibbs measures

Hongbo Zhou, Zhiming Zheng

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publication2008 19th International Conference on Pattern Recognition, ICPR 2008
StatePublished - 1 Dec 2008
Event2008 19th International Conference on Pattern Recognition, ICPR 2008 - Tampa, FL, United States
Duration: 8 Dec 200811 Dec 2008

Publication series

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

Conference

Conference2008 19th International Conference on Pattern Recognition, ICPR 2008
CountryUnited States
CityTampa, FL
Period8/12/0811/12/08

Cite this

Zhou, H., & Zheng, Z. (2008). Generalized criteria for uniqueness of Gibbs measures. In 2008 19th International Conference on Pattern Recognition, ICPR 2008 [4761443] (Proceedings - International Conference on Pattern Recognition).
Zhou, Hongbo ; Zheng, Zhiming. / Generalized criteria for uniqueness of Gibbs measures. 2008 19th International Conference on Pattern Recognition, ICPR 2008. 2008. (Proceedings - International Conference on Pattern Recognition).
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Zhou, H & Zheng, Z 2008, Generalized criteria for uniqueness of Gibbs measures. in 2008 19th International Conference on Pattern Recognition, ICPR 2008., 4761443, Proceedings - International Conference on Pattern Recognition, 2008 19th International Conference on Pattern Recognition, ICPR 2008, Tampa, FL, United States, 8/12/08.

Generalized criteria for uniqueness of Gibbs measures. / Zhou, Hongbo; Zheng, Zhiming.

2008 19th International Conference on Pattern Recognition, ICPR 2008. 2008. 4761443 (Proceedings - International Conference on Pattern Recognition).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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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.

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AN - SCOPUS:77957970895

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

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Zhou H, Zheng Z. Generalized criteria for uniqueness of Gibbs measures. In 2008 19th International Conference on Pattern Recognition, ICPR 2008. 2008. 4761443. (Proceedings - International Conference on Pattern Recognition).