Fluctuations for block spin Ising models
Probability
2020-03-16 v2
Abstract
We analyze the high temperature fluctuations of the magnetization of the so-called Ising block model. This model was recently introduced by Berthet, Rigollet and Srivastava. We prove a Central Limit Theorems (CLT) for the magnetization in the high temperature regime. At the same time we show that this CLT breaks down at a line of critical temperatures. At this line we show the validity of a non-standard Central Limit Theorems for the magnetization.
Keywords
Cite
@article{arxiv.1806.06000,
title = {Fluctuations for block spin Ising models},
author = {Matthias Löwe and Kristina Schubert},
journal= {arXiv preprint arXiv:1806.06000},
year = {2020}
}