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

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.

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Correspondence to Paul Jung.

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Jung, P. The Critical Value of the Contact Process with Added and Removed Edges. J Theor Probab 18, 949–955 (2005).

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Key words

  • Interacting particle system
  • contact process
  • phase transition
  • infinitesimal coupling