论文标题

四维膜模型的中间水平集

The intermediate level-sets of the four-dimensional membrane model

论文作者

Li, Xinyi, Liu, Runsheng

论文摘要

在本文中,我们考虑了四个维度的离散膜模型。我们确认了模型的中间体(即预期最大值的倍数)的缩放限制的存在,并表明其法律与连续膜模型的亚临界高斯乘法混乱(GMC)度量相等。

In this paper, we consider the discrete membrane model in four dimensions. We confirm the existence of the scaling limit of the intermediate (i.e., a multiple of the expected maximum) level-sets of the model, and show that it is equal in law to the sub-critical Gaussian multiplicative chaos (GMC) measure of the continuum membrane model.

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