Poisson allocations with bounded connected cells
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 translationinvariant way, with each point of the process contained in exactly one cell. Moreover, the diameter D of the cell containing the or...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Institute of Mathematical Statistics
2015
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