Limit Profile for the high-temperature Curie-Weiss model
Probability
2025-10-22 v1
Abstract
In this paper, we consider the Ising model on the complete graph, also known as the Curie-Weiss model, and establish the limit profile of the Glauber dynamics in the high-temperature regime. Our strategy is a two-dimensional analog of the method developed by Olesker-Taylor and Schmid for the Bernoulli-Laplace urn: The two-coordinate chain associated to the model evolves near-deterministically until just before the cutoff window, while afterwards it approximates a two-dimensional diffusion.
Keywords
Cite
@article{arxiv.2510.18793,
title = {Limit Profile for the high-temperature Curie-Weiss model},
author = {Lazaros Karageorgiou and Kyprianos-Iason Prodromidis},
journal= {arXiv preprint arXiv:2510.18793},
year = {2025}
}