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Exponential decay for the random connection model using asymptotic transitivity

Higgs, Frankie
arXiv (All) · Papers
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60k35probability
We prove that the probability the cluster of the origin in a subcritical Poisson random connection model (RCM) has size at least $n$ decays exponentially as $n$ increases, under minimal assumptions. We extend a recent method of Vanneuville (arXiv:2304.12110) from Bernoulli percolation on vertex-tr
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