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Results on the contact process with dynamic edges or under renewals

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Author(s):
Hilario, Marcelo ; Ungaretti, Daniel ; Valesin, Daniel ; Vares, Maria Eulalia
Total Authors: 4
Document type: Journal article
Source: ELECTRONIC JOURNAL OF PROBABILITY; v. 27, p. 31-pg., 2022-01-01.
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. (AU)

FAPESP's process: 20/05555-4 - Dissemination processes on graphs
Grantee:Daniel Ungaretti Borges
Support Opportunities: Scholarships in Brazil - Post-Doctoral