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math.PR2014★ 6 cited
Power law condition for stability of Poisson hail
Sergey Foss, Takis Konstantopoulos, Thomas Mountford
We consider the Poisson hail model introduced by Baccelli and Foss. We give a power law condition for the tails (spatial and temporal) of the distribution of jobs to ensure stabili…
math.PR2014
Shape Theorems for Poisson Hail on a Bivariate Ground
François Baccelli, Héctor A. Chang-Lara, Sergey Foss
We consider the extension of the Euclidean stochastic geometry Poisson Hail model to the case where the service speed is zero in some subset of the Euclidean space and infinity in…