English

Results on the contact process with dynamic edges or under renewals

Probability 2026-02-02 v1

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.

Cite

@article{arxiv.2108.03219,
  title  = {Results on the contact process with dynamic edges or under renewals},
  author = {Marcelo Hilário and Daniel Ungaretti and Daniel Valesin and Maria Eulália Vares},
  journal= {arXiv preprint arXiv:2108.03219},
  year   = {2026}
}

Comments

29 pages, 3 figures

R2 v1 2026-06-24T04:53:54.136Z