UNIQUENESS THRESHOLDS ON TREES VERSUS GRAPHS
成果类型：
Article
署名作者：
Sly, Allan
署名单位：
University of California System; University of California Berkeley
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/07-AAP508
发表日期：
2008
页码：
1897-1909
关键词：
摘要：
Counter to the general notion that the regular tree is the worst case for decay of correlation between sets and nodes, we produce an example of a multi-spin interacting system which has uniqueness on the d-regular tree but does not have uniqueness on some infinite d-regular graphs.