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dc.contributor.authorRossi, Eino
dc.date.accessioned2014-08-06T10:07:05Z
dc.date.available2014-08-06T10:07:05Z
dc.date.issued2014
dc.identifier.citationRossi, 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.otherCONVID_23634622
dc.identifier.otherTUTKAID_61595
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/43962
dc.description.abstractWe 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.isoeng
dc.publisherAcademic Press
dc.relation.ispartofseriesJournal of Mathematical Analysis and Applications
dc.relation.urihttp://www.sciencedirect.com/science/journal/0022247X/413/2
dc.subject.otherulottuvuudet
dc.subject.otherdimensions
dc.titleLocal dimensions of measures on infinitely generated self-affine sets
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201406031902
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2014-06-03T03:30:08Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1030–1039
dc.relation.issn0022-247X
dc.relation.numberinseries2
dc.relation.volume413
dc.type.versionacceptedVersion
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.accesslevelopenAccessfi
dc.subject.ysomatematiikka
jyx.subject.urihttp://www.yso.fi/onto/yso/p3160
dc.relation.doi10.1016/j.jmaa.2013.12.030


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