### Abstract

We consider survival probabilities for the discrete-time process in one dimension, which is known as the Domany Kinzel model. A convergence theorem for infinite systems can be obtained in the nonattractive case.

Original language | English |
---|---|

Pages (from-to) | 603-612 |

Number of pages | 10 |

Journal | Journal of Statistical Physics |

Volume | 99 |

Issue number | 1-2 |

Publication status | Published - 2000 Apr 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- Convergence theorem
- Oriented percolation
- Survival probability
- The Domany Kinzel model

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Statistical Physics*,

*99*(1-2), 603-612.

**Survival probabilities for discrete-time models in one dimension.** / Katori, Makoto; Konno, Norio; Tanemura, Hideki.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 99, no. 1-2, pp. 603-612.

}

TY - JOUR

T1 - Survival probabilities for discrete-time models in one dimension

AU - Katori, Makoto

AU - Konno, Norio

AU - Tanemura, Hideki

PY - 2000/4/1

Y1 - 2000/4/1

N2 - We consider survival probabilities for the discrete-time process in one dimension, which is known as the Domany Kinzel model. A convergence theorem for infinite systems can be obtained in the nonattractive case.

AB - We consider survival probabilities for the discrete-time process in one dimension, which is known as the Domany Kinzel model. A convergence theorem for infinite systems can be obtained in the nonattractive case.

KW - Convergence theorem

KW - Oriented percolation

KW - Survival probability

KW - The Domany Kinzel model

UR - http://www.scopus.com/inward/record.url?scp=0034339876&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034339876&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034339876

VL - 99

SP - 603

EP - 612

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -