A note on mean volume and surface densities for a class of birth-and-growth stochastic processes
| dc.creator | Villa, Elena | |
| dc.date | 2007-10-15 | |
| dc.date | 2008-05-06 | |
| dc.date.accessioned | 2026-07-07T09:36:48Z | |
| dc.date.available | 2026-07-07T09:36:48Z | |
| dc.description | Many real phenomena may be modelled as locally finite unions of $d$-dimensional time dependent random closed sets in $\mathbb{R}^d$, described by birth-and-growth stochastic processes, so that their mean volume and surface densities, as well as the so called mean \emph{extended} volume and surface densities, may be studied in terms of relevant quantities characterizing the process. We extend here known results in the Poissonian case to a wider class of birth-and-growth stochastic processes, proving in particular the absolute continuity of the random time of capture of a point $x\in\R^d$ by processes of this class. | |
| dc.description | 11 pages; revised version for publication: proof simplified, added new result | |
| dc.identifier | https://arxiv.org/abs/0710.2751 | |
| dc.identifier | http://arxiv.org/abs/0710.2751 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160246 | |
| dc.subject | Probability | |
| dc.subject | 60D05; 60G55; 28A75 | |
| dc.title | A note on mean volume and surface densities for a class of birth-and-growth stochastic processes | |
| dc.type | text |