Annealed limit theorems for the ising model on random regular graphs
Probability
2017-06-27 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
In a recent paper [15], Giardin{\`a}, Giberti, Hofstad, Prioriello 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. 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.
Keywords
Cite
@article{arxiv.1701.08639,
title = {Annealed limit theorems for the ising model on random regular graphs},
author = {Van Hao Can},
journal= {arXiv preprint arXiv:1701.08639},
year = {2017}
}
Comments
37 pages