Contact process on a dynamical long range percolation

DOI10.1214/23-ejp1042zbMath1528.60103arXiv2210.08907OpenAlexW4388952502MaRDI QIDQ6136824

Marco Seiler, Anja Sturm

Publication date: 17 January 2024

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

Full work available at URL: https://arxiv.org/abs/2210.08907

zbMATH Keywords

phase transitioninteracting particle systemscontact processlong range percolationdynamical graphsevolving random environment

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• A simple proof of exponential decay of subcritical contact processes
• The contact process seen from a typical infected site
• Contact process on one-dimensional long range percolation
• Survival of contact processes on the hierarchical group
• A note on the survival of the long-range contact process
• Contact interactions on a lattice
• Long-range contact process and percolation on a random lattice
• Results on the contact process with dynamic edges or under renewals
• The contact process with dynamic edges on \(\mathbb{Z}\)
• Subcritical contact processes seen from a typical infected site
• The contact process in a dynamic random environment
• Stochastic domination for a hidden Markov chain with applications to the contact process in a randomly evolving environment
• Complete convergence theorem for a competition model
• Percolation by cumulative merging and phase transition for the contact process on random graphs
• The critical contact process in a randomly evolving environment dies out
• Stochastic time evolution of one dimensional infinite particle systems
• The Contact Process on Random Graphs and Galton-Watson Trees
• Occupation times for two state Markov chains

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