| Título: | Integrability of exit times and ballisticity for random walks in Dirichlet environment |
| Autores: | Tournier, Laurent; Institut Camille Jordan, Universite Lyon 1 |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
random walks in random environment; Dirichlet distribution; exit time; reinforced random walks; quotient graph; ballisticity 60K37; 60J10 ; 82D30 |
| Descripción: | We consider random walks in Dirichlet random environment. Since the Dirichlet distribution is not uniformly elliptic, the annealed integrability of the exit time out of a given finite subset is a non-trivial question. In this paper we provide a simple and explicit equivalent condition for the integrability of Green functions and exit times on any finite directed graph. The proof relies on a quotienting procedure allowing for an induction argument on the cardinality of the graph. This integrability problem arises in the definition of Kalikow auxiliary random walk. Using a particular case of our condition, we prove a refined version of the ballisticity criterion given by Enriquez and Sabot. |
| Idioma: | No aplica |
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