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arXiv 2005.06836math.PRmath-phmath.MP
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边界加权六顶点模型中的GUE角点过程

GUE corners process in boundary-weighed six-vertex models

Evgeni Dimitrov, Mark Rychnovsky

摘要:

我们考虑六顶点模型上的一类概率分布,它起源于arXiv:1601.05770中的更高自旋顶点模型,并且以前在arXiv:1610.06893中进行了研究。对于这些随机六顶点模型,我们证明了其底部附近的渐近行为是渐近描述的GUE-corners过程。

英文摘要:

We consider a class of probability distributions on the six-vertex model, which originate from the higher spin vertex models in arXiv:1601.05770 and have previously been investigated in arXiv:1610.06893. For these random six-vertex models we show that the asymptotic behavior near their base is asymptotically described by the GUE-corners process.

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