Phase transitions for chase-escape models on Poisson-Gilbert graphs

DOI10.1214/20-ECP306zbMath1434.60194arXiv1911.02622MaRDI QIDQ2183126

Elie Cali, Benedikt Jahnel, Jean-Philippe Wary, Alexander Hinsen

Publication date: 26 May 2020

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

Full work available at URL: https://arxiv.org/abs/1911.02622

zbMATH Keywords

survivalpercolationrandom graphsextinctioninteracting particle systemsBoolean model

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

Related Items (3)

Chase-escape on the configuration model ⋮ Chase–escape in dynamic device-to-device networks ⋮ Chase-escape with death on trees

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential extinction time of the contact process on finite graphs
• Phase transition of the contact process on random regular graphs
• Predator-prey dynamics on infinite trees: a branching random walk approach
• Metastable densities for the contact process on power law random graphs
• Contact processes on random graphs with power law degree distributions have critical value 0
• The survival of one-dimensional contact processes in random environments
• Domination by product measures
• Coexistence in chase-escape
• A predator-prey SIR type dynamics on large complete graphs with three phase transitions
• The escape model on a homogeneous tree
• Percolation by cumulative merging and phase transition for the contact process on random graphs
• On a continuum percolation model
• Large deviations for discrete and continuous percolation
• Continuum Percolation
• Survival of multidimensional contact process in random environments

This page was built for publication: Phase transitions for chase-escape models on Poisson-Gilbert graphs