Resonance between planar self-affine measures

Pyörälä, Aleksi

doi:10.1016/j.aim.2024.109770

dc.contributor.author	Pyörälä, Aleksi
dc.date.accessioned	2024-08-01T12:03:07Z
dc.date.available	2024-08-01T12:03:07Z
dc.date.issued	2024
dc.identifier.citation	Pyörälä, 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.other	CONVID_220778088
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/96493
dc.description.abstract	We 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.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Elsevier
dc.relation.ispartofseries	Advances in Mathematics
dc.rights	CC BY 4.0
dc.subject.other	self-affine measures
dc.subject.other	hausdorff dimension
dc.subject.other	convolution of measures
dc.subject.other	resonance
dc.title	Resonance between planar self-affine measures
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202408015314
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.relation.issn	0001-8708
dc.relation.volume	451
dc.type.version	publishedVersion
dc.rights.copyright	© 2024 the Authors
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	354241
dc.subject.yso	mittateoria
dc.subject.yso	fraktaalit
dc.subject.yso	dynaamiset systeemit
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
jyx.subject.uri	http://www.yso.fi/onto/yso/p6341
jyx.subject.uri	http://www.yso.fi/onto/yso/p38899
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1016/j.aim.2024.109770
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Research Fellow, AoF	en
jyx.fundingprogram	Akatemiatutkija, SA	fi
jyx.fundinginformation	The 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.okm	A1