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math.PR2019
A lower bound for point-to-point connection probabilities in critical percolation
J. van den Berg, H. Don
Consider critical site percolation on with . We prove a lower bound of order for point-to-point connection probabilities, where is the dist…
math.PR2018
Explicit bounds for critical infection rates and expected extinction times of the contact process on finite random graphs
Eric Cator, Henk Don
We introduce a method to prove metastability of the contact process on Erdős-Rényi graphs and on configuration model graphs. The method relies on uniformly bounding the total infec…