Analysis of Poisson Networks and Their Relation with Random Cellular Structures

preprint1996arXivOpen access

Abstract

We perform a detailed analysis of the statistical properties of Poisson networks and show that the metric and topological properties of random cellular structures, can not be derived from simple models of random networks based on a poisson point distribution [1]. In particular we show that Lewis and Aboav-Wieare laws are not obeyed in these network.

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