A central limit theorem for square ice

Wei Wu

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arXiv · 2206.12058

A central limit theorem for square ice

Wei Wu

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Abstract

We prove that the height function associated with the uniform six-vertex model (or equivalently, the uniform homomorphism height function from $\mathbb Z^2$ to $\mathbb Z$) satisfies a central limit theorem, upon some logarithmic rescaling.

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Wei Wu. 2022-06-24. A central limit theorem for square ice. https://arxiv.org/abs/2206.12058

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