@article{f5dad39192244a56a79938ba15ea9ac1,
title = "Results on the contact process with dynamic edges or under renewals",
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.",
keywords = "contact process, percolation, random environment, renewal process",
author = "Marcelo Hil{\'a}rio and Daniel Ungaretti and Daniel Valesin and Vares, {Maria Eul{\'a}lia}",
note = "Funding Information: *The research of MH was partially supported by CNPq grant {\textquoteleft}Produtividade em Pesquisa{\textquoteright} (312227/2020-5) and by FAPEMIG grant {\textquoteleft}Projeto Universal{\textquoteright} (APQ-01214-21). DU was supported by grant 2020/05555-4, S{\~a}o Paulo Research Foundation (FAPESP). MEV was partially supported by CNPq grant 305075/2016-0 and FAPERJ CNE grant E-26/202.636/2019. †ICEx, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil. E-mail:
[email protected] ‡IME, Universidade de S{\~a}o Paulo, S{\~a}o Paulo, Brazil. §Instituto de Matem{\'a}tica, Universidade Federal do Rio de Janeiro, RJ, Brazil. E-mail:
[email protected] ¶Bernoulli Institute, University of Groningen, Nijenborgh 9 9747 AG Groningen. ||Department of Statistics, University of Warwick, Coventry, CV4 7AL. E-mail:
[email protected] **Instituto de Matem{\'a}tica, Universidade Federal do Rio de Janeiro, RJ, Brazil. E-mail:
[email protected] Publisher Copyright: {\textcopyright} 2022, Institute of Mathematical Statistics. All rights reserved.",
year = "2022",
doi = "10.1214/22-EJP811",
language = "English",
volume = "27",
journal = "Electronic journal of probability",
issn = "1083-6489",
publisher = "UNIV WASHINGTON, DEPT MATHEMATICS",
}