dc.contributor.author | Käenmäki, Antti | |
dc.contributor.author | Sahlsten, Tuomas | |
dc.contributor.author | Shmerkin, Pablo | |
dc.date.accessioned | 2015-10-23T06:47:30Z | |
dc.date.available | 2015-10-23T06:47:30Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Käenmäki, A., Sahlsten, T., & Shmerkin, P. (2015). Structure of distributions generated by the scenery flow. <i>Journal of the London Mathematical Society</i>, <i>91</i>(2), 464-494. <a href="https://doi.org/10.1112/jlms/jdu076" target="_blank">https://doi.org/10.1112/jlms/jdu076</a> | |
dc.identifier.other | CONVID_25207214 | |
dc.identifier.other | TUTKAID_67300 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/47379 | |
dc.description.abstract | We expand the ergodic theory developed by Furstenberg and Hochman on dynamical
systems that are obtained from magnifications of measures. We prove that any fractal distribution
in the sense of Hochman is generated by a uniformly scaling measure, which provides a converse to
a regularity theorem on the structure of distributions generated by the scenery flow. We further
show that the collection of fractal distributions is closed under the weak topology and, moreover, is
a Poulsen simplex, that is, extremal points are dense. We apply these to show that a Baire generic
measure is as far as possible from being uniformly scaling: at almost all points, it has all fractal
distributions as tangent distributions. | fi |
dc.language.iso | eng | |
dc.publisher | Oxford University Press | |
dc.relation.ispartofseries | Journal of the London Mathematical Society | |
dc.subject.other | ergodic theory | |
dc.subject.other | distributions | |
dc.subject.other | scenery flow | |
dc.title | Structure of distributions generated by the scenery flow | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201510213437 | |
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 | 2015-10-21T12:15:11Z | |
dc.type.coar | journal article | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 464-494 | |
dc.relation.issn | 0024-6107 | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 91 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © London Mathematical Society. This is a final draft version of an article whose final and definitive form has been published by London Mathematical Society. | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.doi | 10.1112/jlms/jdu076 | |