Translator Disclaimer
June 2019 Annealed limit theorems for the Ising model on random regular graphs
Van Hao Can
Ann. Appl. Probab. 29(3): 1398-1445 (June 2019). DOI: 10.1214/17-AAP1377

Abstract

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.

Citation

Download Citation

Van Hao Can. "Annealed limit theorems for the Ising model on random regular graphs." Ann. Appl. Probab. 29 (3) 1398 - 1445, June 2019. https://doi.org/10.1214/17-AAP1377

Information

Received: 1 May 2017; Revised: 1 September 2017; Published: June 2019
First available in Project Euclid: 19 February 2019

zbMATH: 07057458
MathSciNet: MR3914548
Digital Object Identifier: 10.1214/17-AAP1377

Subjects:
Primary: 05C80, 60F5
Secondary: 82B20

Rights: Copyright © 2019 Institute of Mathematical Statistics

JOURNAL ARTICLE
48 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.29 • No. 3 • June 2019
Back to Top