Coupling any number of balls in the infinite-bin model - ENS de Lyon - École normale supérieure de Lyon
Article Dans Une Revue Journal of Applied Probability Année : 2017

Coupling any number of balls in the infinite-bin model

Ksenia Chernysh
  • Fonction : Auteur
Sanjay Ramassamy

Résumé

The infinite-bin model, introduced by Foss and Konstantopoulos in [3], describes the Markovian evolution of configurations of balls placed inside bins, obeying certain transition rules. We prove that we can couple the behaviour of any finite number of balls, provided at least two different transition rules are allowed. This coupling makes it possible to define the regeneration events needed by Foss and Zachary in [4] to prove convergence results for the distribution of the balls.
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Dates et versions

ensl-01651026 , version 1 (28-11-2017)
ensl-01651026 , version 2 (27-10-2022)

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Citer

Ksenia Chernysh, Sanjay Ramassamy. Coupling any number of balls in the infinite-bin model. Journal of Applied Probability, 2017, ⟨10.1017/jpr.2017.16⟩. ⟨ensl-01651026v2⟩

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