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Limit Profile for the high-temperature Curie-Weiss model
Lazaros Karageorgiou, Kyprianos-Iason Prodromidis · 2025-10-22 · via math.PR updates on arXiv.org

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.

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