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Interaction of Poisson hyperplane processes and convex bodies
Published online by Cambridge University Press: 11 December 2019
Abstract
Given a stationary and isotropic Poisson hyperplane process and a convex body K in ${\mathbb R}^d$ , we consider the random polytope defined by the intersection of all closed half-spaces containing K that are bounded by hyperplanes of the process not intersecting K. We investigate how well the expected mean width of this random polytope approximates the mean width of K if the intensity of the hyperplane process tends to infinity.
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- © Applied Probability Trust 2019
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