| Título: | Brownian Bridge Asymptotics for Random $p$-Mappings |
| Autores: |
Aldous, David; University of California, Berkeley Miermont, Gregory; Ecole Normale Superieure Pitman, Jim; University of California, Berkeley |
| Fecha: | 2004-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Brownian bridge, Brownian excursion, Joyal map, random mapping, random tree, weak convergence. 60C05; 60F17; 60J65 |
| Descripción: | The Joyal bijection between doubly-rooted trees and mappings can be lifted to a transformation on function space which takes tree-walks to mapping-walks. Applying known results on weak convergence of random tree walks to Brownian excursion, we give a conceptually simpler rederivation of the Aldous-Pitman (1994) result on convergence of uniform random mapping walks to reflecting Brownian bridge, and extend this result to random $p$-mappings. |
| Idioma: | No aplica |
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