| Título: | Fluctuations of the quenched mean of a planar random walk in an i.i.d. random environment with forbidden direction |
| Autores: | Joseph, Mathew; UNIVERSITY OF WISCONSIN MADISON |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
random walk in random environment; central limit theorem; invariance principle; Green function 60K37; 60F05; 60F17; 82D30 |
| Descripción: | We consider an i.i.d. random environment with a strong form of transience on the two dimensional integer lattice. Namely, the walk always moves forward in the y-direction. We prove an invariance principle for the quenched expected position of the random walk indexed by its level crossing times. We begin with a variation of the Martingale Central Limit Theorem. The main part of the paper checks the conditions of the theorem for our problem. |
| Idioma: | No aplica |
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