| dc.contributor.author | Gao, Yan | |
| dc.contributor.author | Haïssinsky, Peter | |
| dc.contributor.author | Meyer, Daniel | |
| dc.contributor.author | Zeng, Jinsong | |
| dc.date.accessioned | 2018-03-22T08:10:12Z | |
| dc.date.available | 2018-11-01T22:35:47Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Gao, 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.other | CONVID_26892030 | |
| dc.identifier.other | TUTKAID_73170 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/57379 | |
| dc.description.abstract | Abstract. 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.iso | eng | |
| dc.publisher | Cambridge University Press | |
| dc.relation.ispartofseries | Ergodic Theory and Dynamical Systems | |
| dc.subject.other | invariant Jordan curve | |
| dc.subject.other | rational maps | |
| dc.subject.other | Sierpinski carpet Julia sets | |
| dc.subject.other | expanding Thusrston maps | |
| dc.title | Invariant Jordan curves of Sierpinski carpet rational maps | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201803161744 | |
| 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 | 2018-03-16T13:15:05Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 583-600 | |
| dc.relation.issn | 0143-3857 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 38 | |
| dc.type.version | acceptedVersion | |
| 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.accesslevel | openAccess | fi |
| dc.subject.yso | rationaalifunktiot | |
| dc.subject.yso | matematiikka | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p18960 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3160 | |
| dc.relation.doi | 10.1017/etds.2016.47 | |
| dc.type.okm | A1 | |
