Ising model on a Galton-Watson tree with a sparse random external field
IA Ventura, Q Berger - arXiv preprint arXiv:2310.09169, 2023 - arxiv.org
We consider the Ising model on a supercritical Galton-Watson tree $\mathbf {T} _n $ of depth
$ n $ with a sparse random external field, given by a collection of iid Bernouilli random …
$ n $ with a sparse random external field, given by a collection of iid Bernouilli random …
Glauber dynamics for Ising models on random regular graphs: cut-off and metastability
VH Can, R van der Hofstad, T Kumagai - arXiv preprint arXiv:1912.07798, 2019 - arxiv.org
Consider random $ d $-regular graphs, ie, random graphs such that there are exactly $ d $
edges from each vertex for some $ d\ge 3$. We study both the configuration model version …
edges from each vertex for some $ d\ge 3$. We study both the configuration model version …
Mean-field spin models--Fluctuation of the magnetization and maximum likelihood estimator
Consider the mean-field spin models where the Gibbs measure of each configuration
depends only on its magnetization. Based on the Stein and Laplace methods, we give a new …
depends only on its magnetization. Based on the Stein and Laplace methods, we give a new …
Annealed limit theorems for the Ising model on random regular graphs
VH Can - The Annals of Applied Probability, 2019 - JSTOR
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 …
have proved a law of large number and a central limit theorem with respect to the annealed …
Annealed Ising model on configuration models
VH Can, C Giardinà, C Giberti… - Annales de l'Institut …, 2022 - projecteuclid.org
In this paper, we study the annealed ferromagnetic Ising model on the configuration model.
In an annealed system, we take the average on both sides of the ratio defining the …
In an annealed system, we take the average on both sides of the ratio defining the …