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2016 From survival to extinction of the contact process by the removal of a single edge
Réka Szabó, Daniel Valesin
Electron. Commun. Probab. 21: 1-8 (2016). DOI: 10.1214/16-ECP11

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

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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

Information

Received: 25 January 2016; Accepted: 19 July 2016; Published: 2016
First available in Project Euclid: 25 August 2016

zbMATH: 1348.82058
MathSciNet: MR3548766
Digital Object Identifier: 10.1214/16-ECP11

Subjects:
Primary: 82C22

Keywords: contact process , interacting particle systems , phase transition

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