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.
Funding Statement
The research of MH was partially supported by CNPq grant ‘Produtividade em Pesquisa’ (312227/2020-5) and by FAPEMIG grant ‘Projeto Universal’ (APQ-01214-21). DU was supported by grant 2020/05555-4, São Paulo Research Foundation (FAPESP). MEV was partially supported by CNPq grant 305075/2016-0 and FAPERJ CNE grant E-26/202.636/2019.
Acknowledgments
We would like to thank an anonymous referee for carefully reading our work. Also, we would like to thank Marco Seiler for pointing out a mistake in our original proof of Theorem 1.1(ii).
Citation
Marcelo Hilário. Daniel Ungaretti. Daniel Valesin. Maria Eulália Vares. "Results on the contact process with dynamic edges or under renewals." Electron. J. Probab. 27 1 - 31, 2022. https://doi.org/10.1214/22-EJP811
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