Random Cell Complexes and Generalised Sets

M. Zahle

doi:10.1214/aop/1176991595

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Home > Journals > Ann. Probab. > Volume 16 > Issue 4 > Article

October, 1988 Random Cell Complexes and Generalised Sets

M. Zahle

Ann. Probab. 16(4): 1742-1766 (October, 1988). DOI: 10.1214/aop/1176991595

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Abstract

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.

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M. Zahle. "Random Cell Complexes and Generalised Sets." Ann. Probab. 16 (4) 1742 - 1766, October, 1988. https://doi.org/10.1214/aop/1176991595

Information

Published: October, 1988

First available in Project Euclid: 19 April 2007

zbMATH: 0656.60024

MathSciNet: MR958214

Digital Object Identifier: 10.1214/aop/1176991595

Subjects:

Primary: 60D05

Secondary: 58A25 , 60G55

Keywords: $i$-skeletons , Currents , curvature and direction properties , generalised sets , mean sets , polyhedron theorems , Random cell complexes , random tessellations , stationary point processes , typical $j$-cells

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