Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes
| dc.creator | Bertoin, Jean | |
| dc.date | 2007-04-24 | |
| dc.date.accessioned | 2026-07-07T07:57:56Z | |
| dc.date.available | 2026-07-07T07:57:56Z | |
| dc.description | We show that for $0<α<1$ and $θ>-α$, the Poisson-Dirichlet distribution with parameter $(α, θ)$ is the unique reversible distribution of a rather natural fragmentation-coalescence process. This completes earlier results in the literature for certain split and merge transformations and the parameter $α=0$. | |
| dc.identifier | https://arxiv.org/abs/0704.3122 | |
| dc.identifier | http://arxiv.org/abs/0704.3122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127830 | |
| dc.subject | Probability | |
| dc.subject | 60 J 25 ; 60 J 27 | |
| dc.title | Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes | |
| dc.type | text |