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http://hdl.handle.net/2445/63074
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DC Field | Value | Language |
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dc.contributor.author | Baranski, Krzysztof | - |
dc.contributor.author | Fagella Rabionet, Núria | - |
dc.contributor.author | Jarque i Ribera, Xavier | - |
dc.contributor.author | Karpinska, Boguslawa | - |
dc.date.accessioned | 2015-02-18T10:33:50Z | - |
dc.date.available | 2015-02-18T10:33:50Z | - |
dc.date.issued | 2014-02-08 | - |
dc.identifier.issn | 0020-9910 | - |
dc.identifier.uri | http://hdl.handle.net/2445/63074 | - |
dc.description.abstract | We prove that every transcendental meromorphic map $f$ with disconnected Julia set has a weakly repelling fixed point. This implies that the Julia set of Newton's method for finding zeroes of an entire map is connected. Moreover, extending a result of Cowen for holomorphic self-maps of the disc, we show the existence of absorbing domains for holomorphic self-maps of hyperbolic regions, whose iterates tend to a boundary point. In particular, the results imply that periodic Baker domains of Newton's method for entire maps are simply connected, which solves a well-known open question. | - |
dc.format.extent | 46 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Versió postprint del document publicat a: http://dx.doi.org/10.1007/s00222-014-0504-5 | - |
dc.relation.ispartof | Inventiones Mathematicae, 2014, vol. 198, num. 3, p. 591-636 | - |
dc.relation.uri | http://dx.doi.org/10.1007/s00222-014-0504-5 | - |
dc.rights | (c) Springer Verlag, 2014 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions enteres | - |
dc.subject.classification | Funcions de variables complexes | - |
dc.subject.other | Entire functions | - |
dc.subject.other | Functions of complex variables | - |
dc.title | On the Connectivity of the Julia sets of meromorphic functions | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 633601 | - |
dc.date.updated | 2015-02-18T10:33:50Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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633601.pdf | 476.73 kB | Adobe PDF | View/Open |
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