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Bertoin, Jean (2008). Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes. Combinatorics, Probability & Computing, 17(3):329-337.
We show that for $0<\alpha<1$ and $\theta>-\alpha$, the Poisson-Dirichlet distribution with parameter $(\alpha, \theta)$ 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 $\alpha =0$.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Theoretical Computer Science
Physical Sciences > Statistics and Probability Physical Sciences > Computational Theory and Mathematics Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 2008 |
| Deposited On: | 29 May 2013 15:30 |
| Last Modified: | 09 Jan 2025 02:40 |
| Publisher: | Cambridge University Press |
| ISSN: | 0963-5483 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1017/S0963548307008784 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2410390 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1165.60032 http://arxiv.org/abs/0704.3122 |
Bertoin, Jean