| Título: | Two Coalescents Derived from the Ranges of Stable Subordinators |
| Autores: |
Bertoin, Jean; Université Paris VI Pitman, Jim; University of California, Berkeley |
| Fecha: | 2000-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
coalescent, stable, subordinator, Poisson-Dirichlet distribution 60J30, 60J25. |
| Descripción: | Let $M_\alpha$ be the closure of the range of a stable subordinator of index $\alpha\in ]0,1[$. There are two natural constructions of the $M_{\alpha}$'s simultaneously for all $\alpha\in ]0,1[$, so that $M_{\alpha}\subseteq M_{\beta}$ for $0< \alpha < \beta < 1$: one based on the intersection of independent regenerative sets and one based on Bochner's subordination. We compare the corresponding two coalescent processes defined by the lengths of complementary intervals of $[0,1]\backslash M_{1-\rho}$ for $0 < \rho < 1$. In particular, we identify the coalescent based on the subordination scheme with the coalescent recently introduced by Bolthausen and Sznitman. |
| Idioma: | No aplica |
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