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[2603.03257] Supercritical sharpness of percolation
arxiv.org · 479 words · saved by 1 readers
Abstract:We prove that for supercritical percolation on every infinite transitive graph, the probability that the origin belongs to a finite cluster of size at least $n$ decays exponentially in $\Phi(n)$, where $\Phi$ is the isoperimetric function of the graph.
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