树与图上唯一性阈值的差异
概率论
2008-11-13 v2
摘要
与正则树是集合与节点间相关性衰减最坏情形这一普遍观点相反,我们构造了一个多自旋相互作用系统的例子,该系统在 -正则树上具有唯一性,但在某些无限 -正则图上不具有唯一性。
引用
@article{arxiv.0704.2916,
title = {Uniqueness thresholds on trees versus graphs},
author = {Allan Sly},
journal= {arXiv preprint arXiv:0704.2916},
year = {2008}
}
评论
Published in at http://dx.doi.org/10.1214/07-AAP508 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)