The survival of large dimensional threshold contact processes

DOI10.1214/08-AOP440zbMath1172.60032arXiv0908.4146MaRDI QIDQ838006

Roberto H. Schonmann, Thomas S. Mountford

Publication date: 21 August 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.4146

zbMATH Keywords

invariant measurescritical pointslarge dimensionsthreshold contact processthreshold voter model

Mathematics Subject Classification ID

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

Related Items (3)

Convergence rates for subcritical threshold-one contact processes on lattices ⋮ Asymptotic behavior of critical infection rates for threshold-one contact processes on lattices and regular trees ⋮ On some threshold-one attractive interacting particle systems on homogeneous trees

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Threshold \(\theta \geq 2\) contact processes on homogeneous trees
• On the stability of a population growth model with sexual reproduction on \(Z^ 2\)
• The survival of contact processes
• Coexistence in threshold voter models
• On the stability of a population growth model with sexual reproduction on \(\mathbb{Z}^ d\), \(d\geq 2\)
• Domination by product measures
• Majority Bootstrap Percolation on the Hypercube

This page was built for publication: The survival of large dimensional threshold contact processes