The survival probability of the high-dimensional contact process with random vertex weights on the oriented lattice

zbMath1405.60149arXiv1709.03719MaRDI QIDQ4612238

Xiaofeng Xue

Publication date: 22 January 2019

Full work available at URL: https://arxiv.org/abs/1709.03719

zbMATH Keywords

survival probabilitycontact processoriented lattice

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Unnamed Item
• Unnamed Item
• The complete convergence theorem holds for contact processes in a random environment on \({\mathbb Z}^d \times {\mathbb Z}^{+}\)
• The contact process on the complete graph with random vertex-dependent infection rates
• Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions
• The survival of the large dimensional basic contact process
• Contact interactions on a lattice
• Contact process on regular tree with random vertex weights
• Mean field limit for survival probability of the high-dimensional contact process
• Oriented percolation in dimensions d ≥ 4: bounds and asymptotic formulas
• Contact processes with random vertex weights on oriented lattices

This page was built for publication: The survival probability of the high-dimensional contact process with random vertex weights on the oriented lattice