Abstract
Consider an inhomogeneous contact process on Z1 in which the recovery rates δ(x) at site x are i.i.d. random variables (bounded above) while the infection rate is a constant ε. The condition uP(-log δ(x) > u) → + ∞ as u → + ∞ implies the survival of the process for every ε > 0.
Original language | English (US) |
---|---|
Pages (from-to) | 411-421 |
Number of pages | 11 |
Journal | Annals of Probability |
Volume | 24 |
Issue number | 1 |
DOIs | |
State | Published - 1996 |
Keywords
- Contact process
- Directed percolation
- Oriented percolation
- Random environment
- Survival
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty