A new proof that for the contact process on homogeneous trees local survival implies complete convergence
From MaRDI portal
Publication:1307486
DOI10.1214/aop/1022855752zbMath0937.60094OpenAlexW2010925255MaRDI QIDQ1307486
Roberto H. Schonmann, Marcia Salzano
Publication date: 31 October 1999
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1022855752
Related Items
The branching random walk and contact process on Galton-Watson and nonhomogeneous trees, Critical exponents for a reversible nearest particle system on the binary tree., Partial immunization processes, On some threshold-one attractive interacting particle systems on homogeneous trees, Metastability: A Brief Introduction Through Three Examples, Two phase transitions for the contact process on small worlds, Phase transitions on nonamenable graphs, The Williams-Bjerknes model on regular trees, The second lowest extremal invariant measure of the contact process. II
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential decay for subcritical contact and percolation processes
- Branching random walks on trees
- The contact process on trees
- Limit theorems for nonergodic set-valued Markov processes
- Limit set of a weakly supercritical contact process on a homogeneous tree
- The 1996 Wald memorial lectures. Stochastic models of interacting systems
- The second lowest extremal invariant measure of the contact process
- Branching random walks and contact processes on homogeneous trees
- The complete convergence theorem of the contact process on trees
- The critical contact process dies out
- The critical contact process on a homogeneous tree