论文标题
在2D高斯自由场的两侧级别的化学距离指数上
On the chemical distance exponent for the two-sided level-set of the 2D Gaussian free field
论文作者
论文摘要
在本文中，我们介绍了二维离散高斯自由场的双面级别集。然后，我们研究了两侧水平渗透的化学距离。我们的结果表明，化学距离的尺寸应严格大于$ 1 $，这反过来刺激了有关双面级别集合的一些诱人问题。
In this paper we introduce the two-sided level-set for the two-dimensional discrete Gaussian free field. Then we investigate the chemical distance for the two-sided level-set percolation. Our result shows that the chemical distance should have dimension strictly larger than $1$, which in turn stimulates some tempting questions about the two-sided level-set.
