Results on the contact process with dynamic edges or under renewals
arXiv:2108.03219 · doi:10.1214/22-EJP811
Abstract
We analyze variants of the contact process that are built by modifying the percolative structure given by the graphical construction and develop a robust renormalization argument for proving extinction in such models. With this method, we obtain results on the phase diagram of two models: the Contact Process on Dynamic Edges introduced by Linker and Remenik and a generalization of the Renewal Contact Process introduced by Fontes, Marchetti, Mountford and Vares.
29 pages, 3 figures