Some properties of the range of super-Brownian motion
| dc.creator | Delmas, Jean-François | |
| dc.date | 1998-06-22 | |
| dc.date.accessioned | 2026-07-07T05:25:09Z | |
| dc.date.available | 2026-07-07T05:25:09Z | |
| dc.description | We consider a super-Brownian motion $X$. Its canonical measures can be studied through the path-valued process called the Brownian snake. We obtain the limiting behavior of the volume of the $ε$-neighborhood for the range of the Brownian snake, and as a consequence we derive the analogous result for the range of super-Brownian motion and for the support of the integrated super-Brownian excursion. Then we prove the support of $X_t$ is capacity-equivalent to $[0,1]^2$ in $\R^d$, $d\geq 3$, and the range of $X$, as well as the support of the integrated super-Brownian excursion are capacity-equivalent to $[0,1]^4$ in $\R^d$, $d\geq 5$. | |
| dc.identifier | https://arxiv.org/abs/math/9806120 | |
| dc.identifier | http://arxiv.org/abs/math/9806120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77074 | |
| dc.subject | Probability | |
| dc.title | Some properties of the range of super-Brownian motion | |
| dc.type | text |