On extremal measures for conservative particle systems
Sunder Sethuraman (2001)
Annales de l'I.H.P. Probabilités et statistiques
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On extremal measures for conservative particle systems
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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....