ANNEALED LIMIT THEOREMS FOR THE ISING MODEL ON RANDOM REGULAR GRAPHS
成果类型：
Article
署名作者：
Van Hao Can
署名单位：
Vietnam Academy of Science & Technology (VAST)
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/17-AAP1377
发表日期：
2019
页码：
1398-1445
关键词：
摘要：
In a recent paper, Giardina et al. [ALEA Lat. Am. J. Probab. Math. Stat. 13 (2016) 121-161] have proved a law of large number and a central limit theorem with respect to the annealed measure for the magnetization of the Ising model on some random graphs, including the random 2-regular graph. In this paper, we present a new proof of their results which applies to all random regular graphs. In addition, we prove the existence of annealed pressure in the case of configuration model random graphs.