Electronic Communications in Probability

From survival to extinction of the contact process by the removal of a single edge

Réka Szabó and Daniel Valesin

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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.

Article information

Electron. Commun. Probab., Volume 21 (2016), paper no. 54, 8 pp.

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

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Zentralblatt MATH identifier

Primary: 82C22: Interacting particle systems [See also 60K35]

interacting particle systems contact process phase transition

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Szabó, Réka; Valesin, Daniel. From survival to extinction of the contact process by the removal of a single edge. Electron. Commun. Probab. 21 (2016), paper no. 54, 8 pp. doi:10.1214/16-ECP11. https://projecteuclid.org/euclid.ecp/1472144932

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