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

Manolescu, Ioan, Santoro, Leonardo V.

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.

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