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A Duality for Poisson Flats
Published online by Cambridge University Press: 01 July 2016
Abstract
In keeping with the intersection density of a stationary Poisson process of r-flats in Euclidean d-space, where r ≥ d/2, we introduce a notion of closeness, called proximity, for such processes if r < d/2. It is shown that the two notions are connected by a duality: the proximity of a stationary Poisson r-flat process is, up to a constant factor, the intersection density of a certain unique stationary Poisson (d − r)-flat process.
MSC classification
- Type
- Stochastic Geometry and Statistical Applications
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- Copyright © Applied Probability Trust 1999
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