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  • 标题:Strict Convexity of the Limit Shape in First-Passage Percolation
  • 本地全文:下载
  • 作者:Lalley, Steven P.
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2003
  • 卷号:8
  • 页码:135-141
  • DOI:10.1214/ECP.v8-1089
  • 出版社:Electronic Communications in Probability
  • 摘要:Sufficient conditions are given for the strict convexity of the limit shape in standard first-passage percolation. These conditions involve (1) asymptotic ``straightness'' of the geodesics, and (2) existence of mean-zero limit distributions for the first-passage times.
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