From survival to extinction of the contact process by the removal of a single edge
classification
🧮 math.PR
keywords
contactprocessedgeinfectionratecertainconstructiondies
read the original 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.
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