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  • 标题:An improved upper bound for the critical value of the contact process on $\mathbb{Z} ^d$ with $d\geq 3$
  • 本地全文:下载
  • 作者:Xiaofeng Xue
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2018
  • 卷号:23
  • DOI:10.1214/18-ECP177
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:By coupling the basic contact process with a linear system, we give an improved upper bound for the critical value $\lambda _c$ of the basic contact process on the lattice $\mathbb{Z} ^d$ with $d\geq 3$. As a direct corollary of our result, the critical value of the three-dimensional contact process is shown to be at most $0.34$.
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