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dc.contributor.authorGao, Yan
dc.contributor.authorHaïssinsky, Peter
dc.contributor.authorMeyer, Daniel
dc.contributor.authorZeng, Jinsong
dc.date.accessioned2018-03-22T08:10:12Z
dc.date.available2018-11-01T22:35:47Z
dc.date.issued2018
dc.identifier.citationGao, Y., Haïssinsky, P., Meyer, D., & Zeng, J. (2018). Invariant Jordan curves of Sierpinski carpet rational maps. <i>Ergodic Theory and Dynamical Systems</i>, <i>38</i>(2), 583-600. <a href="https://doi.org/10.1017/etds.2016.47" target="_blank">https://doi.org/10.1017/etds.2016.47</a>
dc.identifier.otherCONVID_26892030
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/57379
dc.description.abstractAbstract. In this paper, we prove that if R : Cb → Cb is a postcritically finite rational map with Julia set homeomorphic to the Sierpiński carpet, then there is an integer n0, such that, for any n ≥ n0, there exists an R n -invariant Jordan curve Γ containing the postcritical set of R.
dc.language.isoeng
dc.publisherCambridge University Press
dc.relation.ispartofseriesErgodic Theory and Dynamical Systems
dc.subject.otherinvariant Jordan curve
dc.subject.otherrational maps
dc.subject.otherSierpinski carpet Julia sets
dc.subject.otherexpanding Thusrston maps
dc.titleInvariant Jordan curves of Sierpinski carpet rational maps
dc.typeresearch article
dc.identifier.urnURN:NBN:fi:jyu-201803161744
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.updated2018-03-16T13:15:05Z
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange583-600
dc.relation.issn0143-3857
dc.relation.numberinseries2
dc.relation.volume38
dc.type.versionacceptedVersion
dc.rights.copyright© Cambridge University Press, 2016. This is a final draft version of an article whose final and definitive form has been published by Cambridge University Press. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.type.publicationarticle
dc.subject.ysorationaalifunktiot
dc.subject.ysomatematiikka
jyx.subject.urihttp://www.yso.fi/onto/yso/p18960
jyx.subject.urihttp://www.yso.fi/onto/yso/p3160
dc.relation.doi10.1017/etds.2016.47
dc.type.okmA1


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