| Título: | A note on the scaling limits of contour functions of Galton-Watson trees |
| Autores: |
He, Hui; Beijing Normal University Luan, Nana; University of International Business and Economics |
| Fecha: | 2013-01-03 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Galton-Watson trees; Branching processes; L\'evy trees; contour functions; scaling limit 60J80 |
| Descripción: | Recently, Abraham and Delmas constructed the distributions of super-critical Lévy trees truncated at a fixed height by connecting super-critical Lévy trees to (sub)critical Lévy trees via a martingale transformation. A similar relationship also holds for discrete Galton-Watson trees. In this work, using the existing works on the convergence of contour functions of (sub)critical trees, we prove that the contour functions of truncated super critical Galton-Watson trees converge weakly to the distributions constructed by Abraham and Delmas. |
| Idioma: | Inglés |
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