The Annals of Applied Probability
- Ann. Appl. Probab.
- Volume 29, Number 3 (2019), 1398-1445.
Annealed limit theorems for the Ising model on random regular graphs
In a recent paper, Giardinà 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.
Ann. Appl. Probab., Volume 29, Number 3 (2019), 1398-1445.
Received: May 2017
Revised: September 2017
First available in Project Euclid: 19 February 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 05C80: Random graphs [See also 60B20] 60F5
Secondary: 82B20: Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Can, Van Hao. Annealed limit theorems for the Ising model on random regular graphs. Ann. Appl. Probab. 29 (2019), no. 3, 1398--1445. doi:10.1214/17-AAP1377. https://projecteuclid.org/euclid.aoap/1550566834