| Título: | Poisson point process limits in size-biased Galton-Watson trees |
| Autores: | Geiger, Jochen; Universität Frankfurt |
| Fecha: | 2000-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics Galton-Watson process, random tree, point process, limit laws 60J80, 60G55 |
| Descripción: | Consider a critical binary continuous-time Galton-Watson tree size-biased according to the number of particles at time $t$. Decompose the population at $t$ according to the particles' degree of relationship with a distinguished particle picked purely at random from those alive at $t$. Keeping track of the times when the different families grow out of the distinguished line of descent and the related family sizes at $t$, we represent this relationship structure as a point process in a time-size plane. We study limits of these point processes in the single- and some multitype case. |
| Idioma: | Inglés |
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