Analysis of Poisson Networks and Their Relation with Random Cellular Structures

Details Analysis of Poisson Networks and Their Relation with Random Cellular Structures Analysis of Poisson Networks and Their Relation with Random Cellular Structures

1996-03-13

arxiv.org/abs/cond-mat/9603093v1

Physics

Condensed Matter

17 pages , Latex , 3 Figures available upon request

Scientific paper

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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