Note on the Superposition of Markov Point Processes. Probability, Networks and211 Algorithms

摘要

We show that independent superposition of Markov point processes with respect to211u001ethe same neighborhood relation preserves the Hammersleyo-Clifford factorization 211u001eup to second order. If the processes are identically distributed, the third order 211u001einteraction structure is preserved as well. Finally, we prove that the 211u001esuperposition of standardized locally stable Markov point processes converges 211u001eweakly to a Poisson process.