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math.PR2009★ 2 cited
Forest fires on with ignition only at 0
Stanislav Volkov
We consider a version of the forest fire model on graph , where each vertex of a graph becomes occupied with rate one. A fixed vertex is hit by lightning with the same rat…
math.PR2007★ 13 cited
Periodicity in the transient regime of exhaustive polling systems
I. M. MacPhee, M. V. Menshikov, S. Popov +1
We consider an exhaustive polling system with three nodes in its transient regime under a switching rule of generalized greedy type. We show that, for the system with Poisson arriv…