On a Markov sequence of point processes
The paper considers a sequence of translation-invariant marked point processes interacting according to a mechanism determined by a random graph that preserves the Markovian property of the process sequence. The main result consists in finding sufficient conditions which guarantee the ergodicity of the Markov sequence, and in proposing a stochastic construction of the ergodic distribution.
scientific article; zbMATH DE number 1190935