Results on the contact process with dynamic edges or under renewals

2021/08/06 by Marcelo R. Hilário, Daniel Ungaretti, Hilário, Marcelo +5 · 3 citations
Mathematics · Physics and Astronomy · #60K05 #60K35 #82B43 #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · doi:10.48550/arxiv.2108.03219

openalex publication_date 2021/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• The Rightmost Particle of the Contact Process on Dynamic Random Environments
• Mixing times of spin systems on dynamical percolation
• Oriented bond-site percolation in random environment and contact processes with periodic recovery

Related

• Renewal Contact Processes: phase transition and survival
• Contact process on one-dimensional long-range percolation
• Contact process on a dynamical long range percolation
• The extinction of the contact process in a one-dimensional random environment with long-range interactions
• The contact process on dynamic regular graphs: monotonicity and subcritical phase