The concept of random cell complexes, generalised sets and their mean sets in $R^d$ are introduced. Under stationarity conditions various relations between associated geometrical quantities are derived.
Publié le : 1988-10-14
Classification:
Random cell complexes,
stationary point processes,
$i$-skeletons,
typical $j$-cells,
currents,
generalised sets,
mean sets,
curvature and direction properties,
polyhedron theorems,
random tessellations,
60D05,
60G55,
58A25
@article{1176991595,
author = {Zahle, M.},
title = {Random Cell Complexes and Generalised Sets},
journal = {Ann. Probab.},
volume = {16},
number = {4},
year = {1988},
pages = { 1742-1766},
language = {en},
url = {http://dml.mathdoc.fr/item/1176991595}
}
Zahle, M. Random Cell Complexes and Generalised Sets. Ann. Probab., Tome 16 (1988) no. 4, pp. 1742-1766. http://gdmltest.u-ga.fr/item/1176991595/