数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (4): 399-405.

• 论文 • 上一篇    下一篇

SMALL DENSITY FLUCTUTAION FOR ONE DIMENSIONAL CONTACT PROCESSES UNDER NONEQUILIBRIUM

陈金文   

  1. Dept, of Math,, Beijing Norm. Univ., Beijing, 100875, China
  • 收稿日期:1991-07-17 出版日期:1993-12-25 发布日期:1993-12-25
  • 基金资助:
    Supported in part by the National Natural Science Foundation of China.

SMALL DENSITY FLUCTUTAION FOR ONE DIMENSIONAL CONTACT PROCESSES UNDER NONEQUILIBRIUM

Chen Jinwen   

  1. Dept, of Math,, Beijing Norm. Univ., Beijing, 100875, China
  • Received:1991-07-17 Online:1993-12-25 Published:1993-12-25
  • Supported by:
    Supported in part by the National Natural Science Foundation of China.

摘要: This paper shows that for a supercritical contact process in one dimension, if the initial distribution satisfies reasonable hypothesis, then the first hitting time of certain set with anomalous small density is asymptotically exponentially distributed. We also show the similar result for the contact process on the finite set[0, N].

Abstract: This paper shows that for a supercritical contact process in one dimension, if the initial distribution satisfies reasonable hypothesis, then the first hitting time of certain set with anomalous small density is asymptotically exponentially distributed. We also show the similar result for the contact process on the finite set[0, N].