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http://hdl.handle.net/2445/164087
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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 | 2020-06-03T08:16:38Z | - |
dc.date.available | 2020-06-03T08:16:38Z | - |
dc.date.issued | 2017 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/2445/164087 | - |
dc.description.abstract | We study the boundary behaviour of a meromorphic map $f\mathbb{C} \rightarrow \widehat{C}$ on its invariant simply connected Fatou component $U$. To this aim, we develop the theory of accesses to boundary points of $U$ and their relation to the dynamics of $f$. In particular, we establish a correspondence between invariant accesses from $U$ to infinity or weakly repelling points of $f$ and boundary fixed points of the associated inner function on the unit disc. We apply our results to describe the accesses to infinity from invariant Fatou components of the Newton maps. | - |
dc.format.extent | 33 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Mathematical Society (AMS) | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1090/tran/6739 | - |
dc.relation.ispartof | Transactions of the American Mathematical Society, 2017, vol. 369, num. 3, p. 1835-1867 | - |
dc.relation.uri | https://doi.org/10.1090/tran/6739 | - |
dc.rights | cc-by-nc-nd (c) American Mathematical Society (AMS), 2017 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions meromorfes | - |
dc.subject.classification | Sistemes dinàmics complexos | - |
dc.subject.other | Meromorphic functions | - |
dc.subject.other | Complex dynamical systems | - |
dc.title | Accesses to infinity from Fatou components. | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 659563 | - |
dc.date.updated | 2020-06-03T08:16:38Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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659563.pdf | 7.95 MB | Adobe PDF | View/Open |
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