Abstract
We give a construction of a tree in which the contact process with any positive infection rate survives but, if a certain privileged edge $e^*$ is removed, one obtains two subtrees in which the contact process with infection rate smaller than $1/4$ dies out.
Citation
Réka Szabó. Daniel Valesin. "From survival to extinction of the contact process by the removal of a single edge." Electron. Commun. Probab. 21 1 - 8, 2016. https://doi.org/10.1214/16-ECP11
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