Continuity of the asymptotic shape of the supercritical contact process

Olivier Garet (1) , Régine Marchand (1) , Marie Théret (2)

1 IECL - Institut Élie Cartan de Lorraine
2 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

We prove the continuity of the shape governing the asymptotic growth of the supercritical contact process in Z^d , with respect to the infection parameter. The proof is valid in any dimension d ≥ 1.

Mots clés: contact process; continuity; shape theorem

Domaines: Probabilités [math.PR]

Olivier Garet, Régine Marchand, Marie Théret. Continuity of the asymptotic shape of the supercritical contact process. Electronic Communications in Probability, 2015, 20 (92), pp.1-11. ⟨hal-01115786⟩