论文标题
泊松布尔渗透中的穿越宽度
Widths of crossings in Poisson Boolean percolation
论文作者
论文摘要
我们回答以下问题:如果被占领的(或空置)的平面泊松布尔渗透模型包含$ n \ times n $ square的交叉点,那么这个交叉的宽度有多?答案取决于我们考虑批判性,亚临界或超临界制度,并且对于被占领和空置的集合而言是不同的。
We answer the following question: if the occupied (or vacant) set of a planar Poisson Boolean percolation model does contain a crossing of an $n\times n$ square, how wide is this crossing? The answer depends on the whether we consider the critical, sub- or super-critical regime, and is different for the occupied and vacant sets.