The contact process with aging

Aurelia Deshayes (1)

1 IECL - Institut Élie Cartan de Lorraine

In this article, we introduce a contact process with aging: in this generalization of the classical contact process, each particle has an integer age that influences its ability to give birth. We prove here a shape theorem for this process conditioned to survive. In order to establish some key exponential decays, we adapt the Bezuidenhout and Grimmett construction [BG91] to build a coupling between our process and a supercritical oriented percolation. Our results also apply to the two-stage contact process introduced by Krone [Kro92].

Mots clés: block construction; renormalization; asymptotic shape theorem; contact process; interacting particles system

Domaines: Probabilités [math.PR]

Aurelia Deshayes. The contact process with aging. 2014. ⟨hal-00995749v2⟩