The Critical Value of the Contact Process with Added and Removed Edges |
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Authors: | Paul Jung |
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Institution: | (1) Department of Mathematics, Cornell University, NY, USA |
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Abstract: | We show that the critical value for the contact process on a vertex-transitive graph
with finitely many edges added and/or removed is the same as the critical value for the contact process on
. This gives a partial answer to a conjecture of Pemantle and Stacey. |
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Keywords: | Interacting particle system contact process phase transition infinitesimal coupling |
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