The critical probability for random Voronoi percolation in the plane is 1/2
We study percolation in the following random environment: let $Z$ be a Poisson process of constant intensity in the plane, and form the Voronoi tessellation of the plane with respect to $Z$. Colour each Voronoi cell black with probability $p$, independently of the other cells. We show that the criti...
Main Authors: | Bollobas, B, Riordan, O |
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Format: | Journal article |
Language: | English |
Published: |
2004
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