Absence of infinite cluster for criticalBernoulli percolation on slabsJanuary 29, 2014
AbstractWe prove that for Bernoulli percolation on a graph Z 2 × {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 which are invariant under π 2-rotation and reflection.
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