The Critical Value of the Contact Process with Added and Removed Edges

Paul Jung
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Paul Jung: Cornell University

Journal of Theoretical Probability, 2005, vol. 18, issue 4, 949-955

Abstract: We show that the critical value for the contact process on a vertex-transitive graph $$\mathcal{G}$$ with finitely many edges added and/or removed is the same as the critical value for the contact process on $$\mathcal{G}$$ . This gives a partial answer to a conjecture of Pemantle and Stacey.

Keywords: Interacting particle system; contact process; phase transition; infinitesimal coupling (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10959-005-7536-0

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