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On connected component Markov point processes
Published online by Cambridge University Press: 01 July 2016
Abstract
We note some interesting properties of the class of point processes which are Markov with respect to the ‘connected component’ relation. Results in the literature imply that this class is closed under random translation and independent cluster generation with almost surely non-empty clusters. We further prove that it is closed under superposition. A wide range of examples is also given.
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- Stochastic Geometry and Statistical Applications
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- Copyright © Applied Probability Trust 1999
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