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arxiv: 1512.05178 · v2 · pith:L2HVMFNCnew · submitted 2015-12-16 · 🧮 math.PR · math-ph· math.MP

Crossing probabilities for critical Bernoulli percolation on slabs

classification 🧮 math.PR math-phmath.MP
keywords bernoullicriticalpercolationprobabilitiesslabsaspectcrossingcrossings
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We prove that in the critical Bernoulli percolation on two dimensional lattice slabs the probabilities of open left-right crossings of rectangles with any given aspect ratio are uniformly positive.

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