| Título: | Local limits of conditioned Galton-Watson trees: the infinite spine case |
| Autores: |
Abraham, Romain; Université d'Orléans Delmas, Jean-François; École Nationale des Ponts et Chaussées Université Paris-Est |
| Fecha: | 2014-01-02 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Conditioned Galton-Watson tree, Kesten's tree 60J80 |
| Descripción: | We give a necessary and sufficient condition for the convergence in distribution of a conditioned Galton-Watson tree to Kesten's tree. This yields elementary proofs of Kesten's result as well as other known results on local limit of conditioned Galton-Watson trees. We then apply this condition to get new results, in the critical and sub-critical cases, on the limit in distribution of a Galton-Watson tree conditioned on having a large number of individuals with out-degree in a given set. |
| Idioma: | Inglés |
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