Fluctuations of the Magnetization in the p-Spin Curie–Weiss Model

S Mukherjee, J Son, BB Bhattacharya - Communications in Mathematical …, 2021 - Springer
In this paper we study the fluctuations of the magnetization in the p-spin Curie–Weiss model,
for p\geqslant 3 p⩾ 3. We provide a complete description of the asymptotic distribution of the …

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 …

Mean-field spin models--Fluctuation of the magnetization and maximum likelihood estimator

VH Can, A Röllin - arXiv preprint arXiv:2312.07313, 2023 - arxiv.org
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 …

Critical behavior of the annealed Ising model on random regular graphs

VH Can - Journal of Statistical Physics, 2017 - Springer
In Giardinà et al.(ALEA Lat Am J Probab Math Stat 13 (1): 121–161, 2016), the authors have
defined an annealed Ising model on random graphs and proved limit theorems for the …

Annealed inhomogeneities in random ferromagnets

VH Can, C Giardinà, C Giberti, R van der Hofstad - Physical Review E, 2022 - APS
We consider spin models on complex networks frequently used to model social and
technological systems. We study the annealed ferromagnetic Ising model for random …

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 …

Critical behavior of the annealed ising model on random regular graphs

H Van Can - arXiv e-prints, 2017 - ui.adsabs.harvard.edu
Abstract In [17], the authors have defined an annealed Ising model on random graphs and
proved limit theorems for the magnetization of this model on some random graphs including …