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Bibliographic Details
Main Authors:	Garoni, Timothy M., Perez, Aram, Zhou, Zongzheng
Format:	Preprint
Published:	2025
Subjects:	Probability Mathematical Physics
Online Access:	https://arxiv.org/abs/2512.05340
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We study the distribution of the magnetization of the critical mean-field O(N) model with N > 1. Specifically, we bound the Wasserstein distance between the finite-volume and limiting distributions, in terms of the number of spins. To achieve this, we extend a recent multivariate nonnormal approximation theorem. This generalizes known results for the Curie-Weiss magnetization to the multivariate O(N) setting.