Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/172530
Title: | Singular values and non-repelling cycles for entire transcendental maps |
Author: | Benini, Anna Miriam Fagella Rabionet, Núria |
Keywords: | Sistemes dinàmics diferenciables Funcions de variables complexes Equacions funcionals Differentiable dynamical systems Functions of complex variables Functional equations |
Issue Date: | 1-Jun-2020 |
Publisher: | Indiana University |
Abstract: | Let $f$ be a map with bounded set of singular values for which periodic dynamic rays exist and land. We prove that each non-repelling cycle is associated to a singular orbit which cannot accumulate on any other non-repelling cycle. When $f$ has finitely many singular values this implies a refinement of the Fatou-Shishikura inequality. |
Note: | Versió preprint del document publicat a: https://doi.org/10.1512/iumj.2020.69.8000 |
It is part of: | Indiana University Mathematics Journal, 2020, vol. 69, p. 1543-1558 |
URI: | http://hdl.handle.net/2445/172530 |
Related resource: | https://doi.org/10.1512/iumj.2020.69.8000 |
ISSN: | 0022-2518 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) Publicacions de projectes de recerca finançats per la UE |
Files in This Item:
File | Description | Size | Format | |
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683533.pdf | 307.75 kB | Adobe PDF | View/Open |
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