Poisson overlapping microballs: self-similarity and X-ray images
| dc.creator | Biermé, Hermine | |
| dc.creator | Estrade, Anne | |
| dc.date | 2005-05-30 | |
| dc.date | 2005-10-27 | |
| dc.date.accessioned | 2026-07-07T06:40:06Z | |
| dc.date.available | 2026-07-07T06:40:06Z | |
| dc.description | We study a random field obtained by counting the number of balls containing each point, when overlapping balls are thrown at random according to a Poisson random measure. We are particularly interested in the local asymptotical self-similarity (lass) properties of the field, as well as the action of X-ray transforms. We discover two different lass properties when considering the asymptotic either "in law" or "on the second order moment" and prove a relationship between the lass behavior of the field and the lass behavior of its X-ray transform. We also describe a microscopic process which leads to a multifractional behavior. These results can be exploited to model and analyze granular media, images or connections network. | |
| dc.description | A multifractional case is investigated and reference [10] is added. Former title: "Poisson microballs: self-similarity and directional analysis" | |
| dc.identifier | https://arxiv.org/abs/math/0505635 | |
| dc.identifier | http://arxiv.org/abs/math/0505635 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101313 | |
| dc.subject | Probability | |
| dc.subject | 60G60 (primary); 44A12; 60G57; 60G55;60G12; 52A22; 60D05 (secondary) | |
| dc.title | Poisson overlapping microballs: self-similarity and X-ray images | |
| dc.type | text |