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Berry--Esseen Bounds for High-Temperature Ising Models

Garoni, Timothy M. et al.
arXiv (All) · Papers
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mathematical-physicsprobability
We consider the nearest-neighbour Ising model on $\mathbb{Z}^d$, and establish sharp results for the normal approximation of the magnetisation throughout the high-temperature regime. In particular, we establish optimal Berry--Esseen bounds between the magnetisation in an arbitrary finite region and
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