Ergodic theory of stochastic decision free Petri nets

摘要

The class of decision-free Petri nets under stochastic timingassumptions, also known as stochastic event graphs, is considered. Underthe assumption that the variables used for the timing of an event graphform stationary and ergodic sequences of random variables, use is madeof an associated stochastic recursive equation in order to construct theevent graph's stationary and ergodic regime. In particular, theconditions under which the existence of this regime is guaranteed aredetermined