This article is cited in 1 paper

On random fields of segments and random mosaics on the plane

R. V. Ambartzumian

Institute of Mathematics, Academy of Sciences of ArmSSR

Abstract: We consider random fields of segments on the plane and random mosaics (i.e. such random fields of segments that, with probability 1, partition the plane into convex bounded polygons). The random fields under consideration are assumed to be homogeneousand isotropic, i.e. the probability measure is invariant relative to Euclidean transformations of the plane.
The main objects of the investigation are “stars” — collections of segments forming random fields which have a common point.

Received: 02.02.1971

 English version: Theory of Probability and its Applications, 1974, 18:3, 486–498

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