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http://hdl.handle.net/2445/164077
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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 | 2020-06-03T06:52:42Z | - |
dc.date.available | 2020-12-31T06:10:21Z | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 0021-7670 | - |
dc.identifier.uri | http://hdl.handle.net/2445/164077 | - |
dc.description.abstract | We study the dynamical behaviour of points in the boundaries of simply connected invariant Baker domains $U$ of meromorphic maps $f$ with a finite degree on $U$. We prove that if $f|_U$ is of hyperbolic or simply parabolic type, then almost every point in the boundary of $U$, with respect to harmonic measure, escapes to infinity under iteration of $f$. On the contrary, if $f|_U$ is of doubly parabolic type, then almost every point in the boundary of $U$, with respect to harmonic measure, has dense forward trajectory in the boundary of $U$, in particular the set of escaping points in the boundary of $U$ has harmonic measure zero. We also present some extensions of the results to the case when $f$ has infinite degree on $U$, including classical Fatou example. | - |
dc.format.extent | 28 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1007/s11854-019-0011-0 | - |
dc.relation.ispartof | Journal d'Analyse Mathematique, 2019, vol. 137, num. 2, p. 679-706 | - |
dc.relation.uri | https://doi.org/10.1007/s11854-019-0011-0 | - |
dc.rights | (c) Springer, 2019 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions de variables complexes | - |
dc.subject.classification | Sistemes dinàmics complexos | - |
dc.subject.classification | Funcions meromorfes | - |
dc.subject.other | Functions of complex variables | - |
dc.subject.other | Complex dynamical systems | - |
dc.subject.other | Meromorphic functions | - |
dc.title | Escaping points in the boundaries of baker domains | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 670246 | - |
dc.date.updated | 2020-06-03T06:52:43Z | - |
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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670246.pdf | 399.43 kB | Adobe PDF | View/Open |
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