Abstract
A Poisson-Voronoi tessellation (PVT) is a tiling of the Euclidean plane in which centers of individual tiles constitute a Poisson field and each tile comprises the locations that are closest to a given center with respect to a prescribed norm. Many spatial systems in which rare, randomly distributed centers compete for space should be well approximated by a PVT. Examples that we can handle rigorously include multitype threshold vote automata, in which
Citation
Janko Gravner. David Griffeath. "Multitype threshold growth: convergence to Poisson-Voronoi tessellations." Ann. Appl. Probab. 7 (3) 615 - 647, August 1997. https://doi.org/10.1214/aoap/1034801246
Information