| Título: | Directed random walk on the backbone of an oriented percolation cluster |
| Autores: |
Birkner, Matthias; Johannes-Gutenberg-Universität Mainz Cerny, Jiri; University of Vienna Depperschmidt, Andrej; Albert-Ludwigs-Universität Freiburg Gantert, Nina; Technische Universität München |
| Fecha: | 2013-01-04 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Random walk, dynamical random environment, oriented percolation, supercritical cluster, central limit theorem in random environment 60K37, 60J10, 82B43, 60K35 |
| Descripción: | We consider a directed random walk on the backbone of the infinite cluster generated by supercritical oriented percolation, or equivalently the space-time embedding of the "ancestral lineage'' of an individual in the stationary discrete-time contact process. We prove a law of large numbers and an annealed central limit theorem (i.e., averaged over the realisations of the cluster) using a regeneration approach. Furthermore, we obtain a quenched central limit theorem (i.e. for almost any realisation of the cluster) via an analysis of joint renewals of two independent walks on the same cluster. |
| Idioma: | Inglés |
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