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dc.contributor.authorPyörälä, Aleksi
dc.date.accessioned2024-08-01T12:03:07Z
dc.date.available2024-08-01T12:03:07Z
dc.date.issued2024
dc.identifier.citationPyörälä, A. (2024). Resonance between planar self-affine measures. <i>Advances in Mathematics</i>, <i>451</i>, Article 109770. <a href="https://doi.org/10.1016/j.aim.2024.109770" target="_blank">https://doi.org/10.1016/j.aim.2024.109770</a>
dc.identifier.otherCONVID_220778088
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/96493
dc.description.abstractWe show that if {ϕi}i∈Γ and {ψj}j∈Λ are self-affine iterated function systems on the plane that satisfy strong separation, domination and irreducibility, then for any associated self-affine measures µ and ν, the inequality dimH(µ ∗ ν) < min{2, dimH µ + dimH ν} implies that there is algebraic resonance between the eigenvalues of the linear parts of ϕi and ψj . This extends to planar non-conformal setting the existing analogous results for self-conformal measures on the line.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesAdvances in Mathematics
dc.rightsCC BY 4.0
dc.subject.otherself-affine measures
dc.subject.otherhausdorff dimension
dc.subject.otherconvolution of measures
dc.subject.otherresonance
dc.titleResonance between planar self-affine measures
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202408015314
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn0001-8708
dc.relation.volume451
dc.type.versionpublishedVersion
dc.rights.copyright© 2024 the Authors
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber354241
dc.subject.ysomittateoria
dc.subject.ysofraktaalit
dc.subject.ysodynaamiset systeemit
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p13386
jyx.subject.urihttp://www.yso.fi/onto/yso/p6341
jyx.subject.urihttp://www.yso.fi/onto/yso/p38899
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1016/j.aim.2024.109770
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramAcademy Research Fellow, AoFen
jyx.fundingprogramAkatemiatutkija, SAfi
jyx.fundinginformationThe research of this project was conducted as part of the author's doctoral studies at University of Oulu, and has been partly supported by the Research Council of Finland via the project GeoQuantAM: Geometric and Quantitative Analysis on Metric spaces, grant no. 354241.
dc.type.okmA1


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