| dc.contributor.author | Ojala, Tuomo | |
| dc.contributor.author | Suomala, Ville | |
| dc.contributor.author | Wu, Meng | |
| dc.date.accessioned | 2017-08-09T09:27:15Z | |
| dc.date.available | 2018-05-08T21:45:08Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Ojala, T., Suomala, V., & Wu, M. (2017). Random cutout sets with spatially inhomogeneous intensities. <i>Israel Journal of Mathematics</i>, <i>220</i>(2), 899-925. <a href="https://doi.org/10.1007/s11856-017-1524-9" target="_blank">https://doi.org/10.1007/s11856-017-1524-9</a> | |
| dc.identifier.other | CONVID_26998307 | |
| dc.identifier.other | TUTKAID_73751 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/55050 | |
| dc.description.abstract | We study the Hausdorff dimension of Poissonian cutout sets defined
via inhomogeneous intensity measures on Q-regular metric spaces. Our main results
explain the dependence of the dimension of the cutout sets on the multifractal
structure of the average densities of the Q-regular measure. As a corollary, we
obtain formulas for the Hausdorff dimension of such cutout sets in self-similar and
self-conformal spaces using the multifractal decomposition of the average densities
for the natural measures. | |
| dc.language.iso | eng | |
| dc.publisher | Springer; Hebrew University Magnes Press | |
| dc.relation.ispartofseries | Israel Journal of Mathematics | |
| dc.subject.other | Hausdorffin dimensio | |
| dc.subject.other | Hausdorff dimension | |
| dc.subject.other | Poissonian Cutout | |
| dc.title | Random cutout sets with spatially inhomogeneous intensities | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201707203337 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2017-07-20T12:15:10Z | |
| dc.type.coar | journal article | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 899-925 | |
| dc.relation.issn | 0021-2172 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 220 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © Hebrew University of Jerusalem 2017. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | matematiikka | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3160 | |
| dc.relation.doi | 10.1007/s11856-017-1524-9 | |
