| dc.contributor.author | Rossi, Eino | |
| dc.date.accessioned | 2014-08-06T10:07:05Z | |
| dc.date.available | 2014-08-06T10:07:05Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Rossi, E. (2014). Local dimensions of measures on infinitely generated self-affine sets. <i>Journal of Mathematical Analysis and Applications</i>, <i>413</i>(2), 1030-1039. <a href="https://doi.org/10.1016/j.jmaa.2013.12.030" target="_blank">https://doi.org/10.1016/j.jmaa.2013.12.030</a> | |
| dc.identifier.other | CONVID_23634622 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/43962 | |
| dc.description.abstract | We show the existence of the local dimension of an invariant probability measure on an infinitely generated self-affine set, for almost all translations. This implies that an ergodic probability measure is exactly dimensional. Furthermore the local dimension equals the minimum of the local Lyapunov dimension and the dimension of the space. | fi |
| dc.language.iso | eng | |
| dc.publisher | Academic Press | |
| dc.relation.ispartofseries | Journal of Mathematical Analysis and Applications | |
| dc.relation.uri | http://www.sciencedirect.com/science/journal/0022247X/413/2 | |
| dc.subject.other | ulottuvuudet | |
| dc.subject.other | dimensions | |
| dc.title | Local dimensions of measures on infinitely generated self-affine sets | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201406031902 | |
| 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 | 2014-06-03T03:30:08Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 1030–1039 | |
| dc.relation.issn | 0022-247X | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 413 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © Elsevier. This is a final draft version of an article whose final and definitive form has been published by Elsevier. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.subject.yso | matematiikka | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3160 | |
| dc.relation.doi | 10.1016/j.jmaa.2013.12.030 | |
| dc.type.okm | A1 | |
