The Stable Point Process and Its Applications to Wireless Networks

What happens if the points of a point process are repeatedly displaced randomly in their Voronoi cells? This paper shows that the resulting point process, called the stable point process (SPP), is of repulsive nature and characterized only by its density. In contrast to the existing soft-core models, the SPP is easy to simulate in arbitrary dimensions and thus fills a nagging void in the arsenal of repulsive point processes. Several pertinent applications of the SPP to wireless networks are discussed and demonstrate its relevance and versatility.