Dirichlet, Dirichlet Process, and Poisson–Dirichlet as Graphons
Abstract
We show that the finite Dirichlet distribution, the Dirichlet process, and the Poisson–Dirichlet distribution correspond, under the functor \(F\), to three natural classes of block graphons. This correspondence yields a unified framework linking mass partitions and graphons, and identifies a new family of strongly extreme, infinite-rank graphons arising from the Poisson–Dirichlet distribution.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Bayesian Methods and Mixture Models
Limits and Structures in Graph Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 March 2026
- Language
- EN
- Document type
- Preprint