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...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Bollobas, B, Riordan, O
Format: Journal article
Sprache:English
Veröffentlicht: 2004