On a Markov sequence of point processes (Q1129450)

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scientific article; zbMATH DE number 1190935
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On a Markov sequence of point processes
scientific article; zbMATH DE number 1190935

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    On a Markov sequence of point processes (English)
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    16 August 1998
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    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.
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    marked point processes
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    ergodic distribution
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