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...
Hauptverfasser: | , |
---|---|
Format: | Journal article |
Sprache: | English |
Veröffentlicht: |
2004
|