On some threshold-one attractive interacting particle systems on homogeneous trees
On some threshold-one attractive interacting particle systems on homogeneous trees
Abstract We consider the threshold-one contact process, the threshold-one voter model and the threshold-one voter model with positive spontaneous death on homogeneous trees $\mathbb{T}_d$ , $d\ge 2$ . Mainly inspired by the corresponding arguments for the contact process, we prove that the complete convergence theorem holds for these three systems …