On extremal measures for conservative particle systems
Sunder Sethuraman (2001)
Annales de l'I.H.P. Probabilités et statistiques
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Displaying similar documents to “Infinite queueing systems with tree structure”
On extremal measures for conservative particle systems
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Poisson point process limits in size-biased Galton-Watson trees.
Geiger, Jochen (2000)
Electronic Journal of Probability [electronic only]
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On the re-rooting invariance property of Lev́y trees.
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Multiclass Hammersley–Aldous–Diaconis process and multiclass-customer queues
Pablo A. Ferrari, James B. Martin (2009)
Annales de l'I.H.P. Probabilités et statistiques
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In the Hammersley–Aldous–Diaconis process, infinitely many particles sit in ℝ and at most one particle is allowed at each position. A particle at , whose nearest neighbor to the right is at , jumps at rate − to a position uniformly distributed in the interval (, ). The basic coupling between trajectories with different initial configuration induces a process with different classes of particles. We show that the invariant measures for the two-class process can be obtained as follows....