| Título: | Ordered Additive Coalescent and Fragmentations Associatedto Lévy Processes with No Positive Jumps |
| Autores: | Miermont, Grégory; Université Pierre et Marie Curie |
| Fecha: | 2001-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics Additivecoalescent, fragmentation, Lévyprocesses, processes with exchangeableincrements. 60J25, 60G51 |
| Descripción: | We study here the fragmentation processes that can be derived from Lévy processes with no positive jumps in the same manner as in the case of a Brownian motion (cf. Bertoin [4]). One of our motivations is that such a representation of fragmentation processes by excursion-type functions induces a particular order on the fragments which is closely related to the additivity of the coalescent kernel. We identify the fragmentation processes obtained this way as a mixing of time-reversed extremal additive coalescents by analogy with the work of Aldous and Pitman [2], and we make its semigroup explicit. |
| Idioma: | Inglés |
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