| Título: | The quenched limiting distributions of a one-dimensional random walk in random scenery |
| Autores: |
Guillotin-Plantard, Nadine; Université Lyon 1 Hu, Yueyun; Université Paris 13 Schapira, Bruno; Aix-Marseille Université |
| Fecha: | 2013-01-03 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Random walk in random scenery; Weak limit theorem; Law of the iterated logarithm; Brownian motion in Brownian Scenery; Strong approximation 60F05; 60G52 |
| Descripción: | For a one-dimensional random walk in random scenery (RWRS) on Z, we determine its quenched weak limits by applying Strassen's functional law of iterated logarithm. As a consequence, conditioned on the random scenery, the one dimensional RWRS does not converge in law, in contrast with the multi-dimensional case. |
| Idioma: | Inglés |
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