A POSITIVE TEMPERATURE PHASE TRANSITION IN RANDOM HYPERGRAPH 2-COLORING
成果类型：
Article
署名作者：
Bapst, Victor; Coja-Oghlan, Amin; Rassmann, Felicia
署名单位：
Goethe University Frankfurt
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/15-AAP1119
发表日期：
2016
页码：
1362-1406
关键词：
摘要：
Diluted mean-field models are graphical models in which the geometry of interactions is determined by a sparse random graph or hypergraph. Based on a nonrigorous but analytic approach called the cavity method, physicists have predicted that in many diluted mean-field models a phase transition occurs as the inverse temperature grows from 0 to infinity [Proc. National Academy of Sciences 104 (2007) 10318-10323]. In this paper, we establish the existence and asymptotic location of this so-called condensation phase transition in the random hypergraph 2-coloring problem.
来源URL：