Absence of Infinite Cluster for Critical Bernoulli Percolation on Slabs

作者：Duminil Copin, Hugo^*; Sidoravicius, Vladas; Tassion, Vincent

来源：Communications on Pure and Applied Mathematics, 2016, 69(7): 1397-1411.

DOI：10.1002/cpa.21641

We prove that for Bernoulli percolation on a graph Z(2) x {0, ... , k} (k >= 0), there is no infinite cluster at criticality, almost surely. The proof extends to finite-range Bernoulli percolation models on Z(2) that are invariant under pi/2-rotation and reflection.

• 出版日期2016-7
• 单位华东师范大学