Pairs of non-intersecting random flats
type: Item
instance of: scholarly article
title: Pairs of non-intersecting random flats
zbMATH Open document ID: 0631.60010
DOI: 10.1007/BF00319102
publication date: 1988-01-01T00:00:00Z
review text: Let \(A_ r\), \(A_ s\), \(1\leq r+s\leq n-1\), be independent isotropic uniform random r- resp. s-flats meeting an n-dimensional convex body K. It is shown that the probability that the points realizing the distance of \(A_ r\) and \(A_ s\) belong to K is maximal if and only if K is a ball.
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 52A22
zbMATH DE Number: 4026426
zbMATH Keywords: non-intersecting random flats
zbMATH Keywords: isotropic uniform random flats
author: Fernando Affentranger
MaRDI profile type: Publication
cites work: Integralgeometrie. VI. Zusammenhänge zwischen den Dichten der linearen Unterräume im \(n\)-dimensionalen Raum
cites work: Q4110292
cites work: Inequalities for random flats meeting a convex body
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4026426