| Título: | A Large Wiener Sausage from Crumbs. |
| Autores: |
Angel, Omer; Weizmann Institute of Science Benjamini, Itai; Weizmann Institute of Science Peres, Yuval; University of California, Berkeley |
| Fecha: | 2000-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Brownian motion, capacity, polar set, Wiener sausage. 60J45, 60J65, 31C15. |
| Descripción: | Let $B(t)$ denote Brownian motion in $R^d$. It is a classical fact that for any Borel set $A$ in $R^d$, the volume $V_1(A)$ of the Wiener sausage $B[0,1]+A$ has nonzero expectation iff $A$ is nonpolar. We show that for any nonpolar $A$, the random variable $V_1(A)$ is unbounded. |
| Idioma: | No aplica |
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