Inhomogenous Poisson Networks and Random Cellular Structures

摘要

we study the statistical properties of inhomogenous Poisson networks. weperform a detailed analysis of the statistical properties of Poisson networksand show that the topological properties of random cellular structures, can bederived from these models of random networks. we study both two and threedimensional networks with non uniform density and show that with a class ofsymmetric distribution $P(\lambda_{1}, \lambda_{2}, ..., \lambda_{N})$ Lewisand Aboav-Weaire laws are obeyed in these networks.