| dc.creator | LUIS GABRIEL GOROSTIZA Y ORTEGA | |
| dc.date | 2008 | |
| dc.date.accessioned | 2023-07-21T15:46:38Z | |
| dc.date.available | 2023-07-21T15:46:38Z | |
| dc.identifier | http://cimat.repositorioinstitucional.mx/jspui/handle/1008/937 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7729477 | |
| dc.description | We prove functional limits theorems for the occupation time process of a system of particles moving
independently in Rd according to a symmetric -stable L´evy process, and starting from an inhomogeneous
Poisson point measure with intensity measure μ(dx) = (1 + |x|
)−1dx,
> 0, and other related
measures. In contrast to the homogeneous case (
= 0), the system is not in equilibrium and ultimately it
becomes locally extinct in probability, and there are more different types of occupation time limit processes
depending on arrangements of the parameters
, d and . The case
< d < leads to an extension of
fractional Brownian motion. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Elsevier Science | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0 | |
| dc.subject | info:eu-repo/classification/MSC/Limite Funcional | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.subject | info:eu-repo/classification/cti/12 | |
| dc.subject | info:eu-repo/classification/cti/1208 | |
| dc.subject | info:eu-repo/classification/cti/110403 | |
| dc.subject | info:eu-repo/classification/cti/110403 | |
| dc.title | Occupation time limits of inhomogeneous Poisson systems of independent particles | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.audience | researchers | |
