### Abstract

Consider an inhomogeneous contact process on Z^{1} 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 |

State | Published - 1996 |

### Fingerprint

### Keywords

- Contact process
- Directed percolation
- Oriented percolation
- Random environment
- Survival

### ASJC Scopus subject areas

- Mathematics(all)
- Statistics and Probability

### Cite this

*Annals of Probability*,

*24*(1), 411-421.

**Persistent survival of one-dimensional contact processes in random environments.** / Newman, Charles; Volchan, Sergio B.

Research output: Contribution to journal › Article

*Annals of Probability*, vol. 24, no. 1, pp. 411-421.

}

TY - JOUR

T1 - Persistent survival of one-dimensional contact processes in random environments

AU - Newman, Charles

AU - Volchan, Sergio B.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

KW - Contact process

KW - Directed percolation

KW - Oriented percolation

KW - Random environment

KW - Survival

UR - http://www.scopus.com/inward/record.url?scp=0030516627&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030516627&partnerID=8YFLogxK

M3 - Article

VL - 24

SP - 411

EP - 421

JO - Annals of Probability

JF - Annals of Probability

SN - 0091-1798

IS - 1

ER -