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Ergodic Theory of Stochastic Petri Networks.

Baccelli, F.

INRIA Rapports de Recherche No. 1037, May 1989.

Abstract: The present paper focuses on a subclass of Stochastic Petri Nets called Stochastic Event Graphs. Under the assumption that the variables used for the timing of an Event Graph form stationary and ergodic sequences of random variables, use is made of an associated stochastic recursive equation in order to construct its stationary and ergodic regime. In particular, the conditions are determined under which the existence of this regime is guaranteed.

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