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http://hdl.handle.net/2445/125727
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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 | 2018-10-30T08:50:36Z | - |
dc.date.available | 2018-10-30T08:50:36Z | - |
dc.date.issued | 2018-08-27 | - |
dc.identifier.issn | 0213-2230 | - |
dc.identifier.uri | http://hdl.handle.net/2445/125727 | - |
dc.description.abstract | In this paper we present a unified proof of the fact that the Julia set of Newton's method applied to a holomorphic function on the complex plane (a polynomial of degree larger than $1$ or a transcendental entire function) is connected. The result was recently completed by the authors' previous work, as a consequence of a more general theorem whose proof spreads among many papers, which consider separately a number of particular cases for rational and transcendental maps, and use a variety of techniques. In this note we present a unified, direct and reasonably self-contained proof which works in all situations alike. | - |
dc.format.extent | 18 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | European Mathematical Society Publishing House | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.4171/RMI/1022 | - |
dc.relation.ispartof | Revista Matematica Iberoamericana, 2018, vol. 34, num. 3, p. 1211-1228 | - |
dc.relation.uri | https://doi.org/10.4171/RMI/1022 | - |
dc.rights | (c) European Mathematical Society Publishing House, 2018 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions enteres | - |
dc.subject.classification | Sistemes dinàmics complexos | - |
dc.subject.classification | Superfícies de Riemann | - |
dc.subject.other | Entire functions | - |
dc.subject.other | Complex dynamical systems | - |
dc.subject.other | Riemann surfaces | - |
dc.title | Connectivity of Julia sets of Newton maps: a unified approach | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 669706 | - |
dc.date.updated | 2018-10-30T08:50:36Z | - |
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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669706.pdf | 8.78 MB | Adobe PDF | View/Open |
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