| Título: | Estimates of Random Walk Exit Probabilities and Application to Loop-Erased Random Walk |
| Autores: |
Kozdron, Michael J.; University of Regina, Canada Lawler, Gregory F.; Cornell University, USA |
| Fecha: | 2005-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: | No aplica |
| Descripción: | We prove an estimate for the probability that a simple random walk in a simply connected subset $A$ of $Z^2$ starting on the boundary exits $A$ at another specified boundary point. The estimates are uniform over all domains of a given inradius. We apply these estimates to prove a conjecture of S. Fomin in 2001 concerning a relationship between crossing probabilities of loop-erased random walk and Brownian motion. |
| Idioma: | No aplica |
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