Subcritical regimes in the Poisson Boolean model of continuum percolation
| dc.creator | Gouéré, Jean-Baptiste | |
| dc.date | 2006-11-13 | |
| dc.date | 2008-10-01 | |
| dc.date.accessioned | 2026-07-07T10:07:12Z | |
| dc.date.available | 2026-07-07T10:07:12Z | |
| dc.description | We consider the Poisson Boolean model of continuum percolation. We show that there is a subcritical phase if and only if $E(R^d)$ is finite, where $R$ denotes the radius of the balls around Poisson points and $d$ denotes the dimension. We also give related results concerning the integrability of the diameter of subcritical clusters. | |
| dc.description | Published in at http://dx.doi.org/10.1214/07-AOP352 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0611369 | |
| dc.identifier | http://arxiv.org/abs/math/0611369 | |
| dc.identifier | Annals of Probability 2008, Vol. 36, No. 4, 1209-1220 | |
| dc.identifier | doi:10.1214/07-AOP352 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170551 | |
| dc.subject | Probability | |
| dc.subject | 60K35, 60D05, 82B43 (Primary) | |
| dc.title | Subcritical regimes in the Poisson Boolean model of continuum percolation | |
| dc.type | text |