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<p>We prove that the height function associated with the uniform six-vertex model (or equivalently, the uniform homomorphism height function from ℤ<sup>2</sup> to ℤ) satisfies a central limit theorem, upon some logarithmic rescaling.</p>

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A Central Limit Theorem for Square Ice

  • 期刊论文

  • 发表日期：

    2026年6月15日

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  • Wei Wu

摘要

We prove that the height function associated with the uniform six-vertex model (or equivalently, the uniform homomorphism height function from ℤ2 to ℤ) satisfies a central limit theorem, upon some logarithmic rescaling.