On connected component Markov point processes

  title={On connected component Markov point processes},
  author={Y. C. Chin and Adrian J. Baddeley},
  journal={Advances in Applied Probability},
  pages={279 - 282}
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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