A positive temperature phase transition in random hypergraph 2-coloring
Combinatorics
2016-06-23 v2 Discrete Mathematics
Mathematical Physics
math.MP
Probability
Abstract
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 to [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 -coloring problem.
Keywords
Cite
@article{arxiv.1410.2190,
title = {A positive temperature phase transition in random hypergraph 2-coloring},
author = {Victor Bapst and Amin Coja-Oghlan and Felicia Raßmann},
journal= {arXiv preprint arXiv:1410.2190},
year = {2016}
}
Comments
Published at http://dx.doi.org/10.1214/15-AAP1119 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)