| Título: | Random walks with unbounded jumps among random conductances I: Uniform quenched CLT |
| Autores: |
Gallesco, Christophe; University of Campinas - UNICAMP Popov, Serguei; University of Campinas - UNICAMP |
| Fecha: | 2012-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
ergodic environment; unbounded jumps; hitting probabilities; exit distribution 60J10; 60K37 |
| Descripción: | We study a one-dimensional random walk among random conductances, with unbounded jumps. Assuming the ergodicity of the collection of conductances and a few other technical conditions (uniform ellipticity and polynomial bounds on the tails of the jumps) we prove a quenched uniform invariance principle for the random walk. This means that the rescaled trajectory of length n is (in a certain sense) close enough to the Brownian motion, uniformly with respect to the choice of the starting location in an interval of length $O(\sqrt{n})$ around the origin. |
| Idioma: | Inglés |
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