Corpus ID: 235458037

Poisson-Dirichlet asymptotics in condensing particle systems

@inproceedings{Chleboun2021PoissonDirichletAI,
  title={Poisson-Dirichlet asymptotics in condensing particle systems},
  author={P. Chleboun and S. Gabriel and S. Grosskinsky},
  year={2021}
}
We study measures on random partitions, arising from condensing stochastic particle systems with stationary product distributions. We provide fairly general conditions on the stationary weights, which lead to PoissonDirichlet statistics of the condensed phase in the thermodynamic limit. The Poisson-Dirichlet distribution is known to be the unique reversible measure of split-merge dynamics for random partitions, which we use to characterize the limit law. We also establish concentration results… Expand

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