The fine structure of Herman rings

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dc.contributor.authorFagella Rabionet, Núria
dc.contributor.authorHenriksen, Christian
dc.date.accessioned2020-06-03T08:43:41Z
dc.date.available2020-06-03T08:43:41Z
dc.date.issued2017-05-25
dc.date.updated2020-06-03T08:43:41Z
dc.description.abstractWe study the geometric structure of the boundary of Herman rings in a model family of Blaschke products of degree 3 (up to quasiconformal deformation). Shishikura's quasi-conformal surgery relates the Herman ring to the Siegel disk of a quadratic polynomial. By studying the regularity properties of the maps involved, we transfer McMullen's results on the fine local geometry of Siegel disks to the Herman ring setting.
dc.format.extent19 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec672805
dc.identifier.issn1050-6926
dc.identifier.urihttps://hdl.handle.net/2445/164105
dc.language.isoeng
dc.publisherSpringer Verlag
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1007/s12220-017-9764-9
dc.relation.ispartofJournal of Geometric Analysis, 2017, vol. 27, num. 3, p. 2381-2399
dc.relation.urihttps://doi.org/10.1007/s12220-017-9764-9
dc.rights(c) Mathematica Josephina, Inc., 2017
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationSistemes dinàmics complexos
dc.subject.classificationFuncions enteres
dc.subject.classificationFuncions meromorfes
dc.subject.otherComplex dynamical systems
dc.subject.otherEntire functions
dc.subject.otherMeromorphic functions
dc.titleThe fine structure of Herman rings
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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