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Random processes of Hausdorff rectifiable closed sets. (English) Zbl 0575.60010
The geometrical objects under study are random processes of Hausdorff rectifiable closed sets in \(R^ n\) where the random manifold processes of class \(\mathbf{1}\) or random processes of compact convex domains enter as special cases. The author demonstrates that this class of processes is in a sense the largest one for which some classical intersection formulae from stochastic geometry apply. This and some other questions which arise in stochastic context are treated after integral geometry and measurability fundamentals are laid down in the first sections.
Reviewer: R.V.Ambartzumian

MSC:
60D05 Geometric probability and stochastic geometry
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