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  • 标题:Poisson allocations with bounded connected cells
  • 本地全文:下载
  • 作者:Holroyd, Alexander E ; Martin, James B
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2015
  • 卷号:20
  • 期号:0
  • 页码:1-8
  • DOI:10.1214/ECP.v20-3853
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:Given a homogenous Poisson point process in the plane, we prove that it is possible to partition the plane into bounded connected cells of equal volume, in a translation-invariant way, with each point of the process contained in exactly one cell. Moreover, the diameter $D$ of the cell containing the origin satisfies the essentially optimal tail bound $\mathbb{P}(D>r)
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