Results on the contact process with dynamic edges or under renewals

DOI10.1214/22-EJP811MaRDI QIDQ2082678

Daniel Valesin, Daniel Ungaretti, Maria Eulália Vares, Marcelo Richard Hilário

Publication date: 4 October 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.03219

zbMATH Keywords

percolationrandom environmentrenewal processcontact process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Renewal theory (60K05)

Related Items (4)

Renewal contact processes: phase transition and survival ⋮ Contact process on a dynamical long range percolation ⋮ Contact process in an evolving random environment ⋮ Long-range contact process and percolation on a random lattice

Cites Work

• Unnamed Item
• Unnamed Item
• Decoupling inequalities and interlacement percolation on \(G\times \mathbb Z\)
• Asymptotic shape for the contact process in random environment
• École d'été de probabilités de Saint-Flour XIV-1984
• The contact process in a random environment
• The survival of one-dimensional contact processes in random environments
• Contact interactions on a lattice
• Additive set-valued Markov processes and graphical methods
• Extinction of contact and percolation processes in a random environment
• Domination by product measures
• Surface order large deviations for Ising, Potts and percolation models
• Persistent survival of one-dimensional contact processes in random environments
• Contact process under heavy-tailed renewals on finite graphs
• Exponential rate for the contact process extinction time
• The contact process with dynamic edges on \(\mathbb{Z}\)
• Contact process under renewals I
• Contact process under renewals. II
• Local large deviations and the strong renewal theorem
• The contact process in a dynamic random environment
• Surface order large deviations for 2D FK-percolation and Potts models
• A short proof of the phase transition for the vacant set of random interlacements
• The critical contact process dies out
• 50 Years of First-Passage Percolation
• A survey on dynamical percolation
• Survival of multidimensional contact process in random environments
• Probability

This page was built for publication: Results on the contact process with dynamic edges or under renewals