| Título: | Pruning a Lévy Continuum Random Tree |
| Autores: |
Abraham, Romain; Université Orléans Delmas, Jean-François; École des Ponts and Université Paris-Est Voisin, Guillaume; Université Orléans |
| Fecha: | 2010-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
continuum random tree, Lévy snake, special Markov property 60J25, 60G57, 60J80 |
| Descripción: | Given a general critical or sub-critical branching mechanism, we define a pruning procedure of the associated Lévy continuum random tree. This pruning procedure is defined by adding some marks on the tree, using L'evy snake techniques. We then prove that the resulting sub-tree after pruning is still a L'evy continuum random tree. This last result is proved using the exploration process that codes the CRT, a special Markov property and martingale problems for exploration processes. We finally give the joint law under the excursion measure of the lengths of the excursions of the initial exploration process and the pruned one. |
| Idioma: | No aplica |
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