Mappings of Finite Distortion : Compactness of the Branch Set
| dc.contributor.author | Kauranen, Aapo | |
| dc.contributor.author | Luisto, Rami | |
| dc.contributor.author | Tengvall, Ville | |
| dc.date.accessioned | 2021-10-04T08:30:38Z | |
| dc.date.available | 2021-10-04T08:30:38Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Kauranen, A., Luisto, R., & Tengvall, V. (2021). Mappings of Finite Distortion : Compactness of the Branch Set. <i>Journal d'Analyse Mathematique</i>, <i>143</i>(1), 207-229. <a href="https://doi.org/10.1007/s11854-021-0153-8" target="_blank">https://doi.org/10.1007/s11854-021-0153-8</a> | |
| dc.identifier.other | CONVID_72827016 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/77994 | |
| dc.description.abstract | We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show that this bound is strict by constructing an entire, continuous, open and discrete mapping of finite distortion which is piecewise smooth, has a branch set homeomorphic to an (n − 2)-dimensional torus and distortion arbitrarily close to the asymptotic bound. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Hebrew University Magnes Press; Springer | |
| dc.relation.ispartofseries | Journal d'Analyse Mathematique | |
| dc.rights | In Copyright | |
| dc.subject.other | finite distortion | |
| dc.subject.other | branch sets | |
| dc.title | Mappings of Finite Distortion : Compactness of the Branch Set | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202110045052 | |
| 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.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 207-229 | |
| dc.relation.issn | 0021-7670 | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 143 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2021 The Hebrew University of Jerusalem | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 322441 | |
| dc.relation.grantnumber | 277923 | |
| dc.subject.yso | monistot | |
| dc.subject.yso | funktioteoria | |
| dc.subject.yso | topologia | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p28181 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p18494 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p14067 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1007/s11854-021-0153-8 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | Postdoctoral Researcher, AoF | en |
| jyx.fundingprogram | Academy Project, AoF | en |
| jyx.fundingprogram | Tutkijatohtori, SA | fi |
| jyx.fundingprogram | Akatemiahanke, SA | fi |
| jyx.fundinginformation | A. K. acknowledges financial support from the Spanish Ministry of Economy and Competitiveness, through the “María de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0445) and MTM-2016-77635-P (MICINN, Spain) and Academy of Finland project 322441. R. L. was supported by the Finnish Academy of Science and Letters. V. T. was supported by the Academy of Finland Projects 277923 and 308759. | |
| dc.type.okm | A1 |
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