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.
|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
|Name||Proceedings - International Conference on Pattern Recognition|
|Conference||2008 19th International Conference on Pattern Recognition, ICPR 2008|
|Period||8/12/08 → 11/12/08|