The range of the mean-value quantities of planar tessellations

1 June 1987

journal article
Published by Cambridge University Press (CUP) in Journal of Applied Probability

Vol. 24 (2) , 411-421
https://doi.org/10.2307/3214265

Abstract

Many mean-value quantities of stationary random tessellations can be expressed in terms of three fundamental mean-value quantities. In this note we characterize the set of triples of mean values that can be realized, and show that every possible triple can arise from a suitable ergodic stationary isotropic tessellation.

Keywords

MEAN VALUE
FUNDAMENTAL MEAN
PLANAR TESSELLATIONS
STATIONARY ISOTROPIC
SUITABLE ERGODIC
RANDOM TESSELLATIONS
STATIONARY RANDOM
ERGODIC STATIONARY
ISOTROPIC TESSELLATION

This publication has 1 reference indexed in Scilit:

Stochastic Geometry and Its Applications
Published by Walter de Gruyter GmbH ,1987