Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.
@article{urn:eudml:doc:38834,
title = {Random lines and tessellations in a plane.},
journal = {Stochastica},
volume = {4},
year = {1980},
pages = {3-13},
zbl = {0438.60018},
mrnumber = {MR0573721},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38834}
}
Santaló, Luis A. Random lines and tessellations in a plane.. Stochastica, Tome 4 (1980) pp. 3-13. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38834/