TY - GEN
T1 - Generalized criteria for uniqueness of Gibbs measures
AU - Zhou, Hongbo
AU - Zheng, Zhiming
PY - 2008/12/1
Y1 - 2008/12/1
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
T2 - 2008 19th International Conference on Pattern Recognition, ICPR 2008
Y2 - 8 December 2008 through 11 December 2008
ER -