Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/97100
 Title: Wandering domains for composition of entire functions Author: Fagella Rabionet, NúriaGodillon, SébastienJarque i Ribera, Xavier Keywords: PolinomisTeoria ergòdicaFuncions enteresPolynomialsErgodic theoryEntire functions Issue Date: 1-Sep-2015 Publisher: Elsevier Abstract: C. Bishop in [Bis, Theorem 17.1] constructs an example of an entire function $f$ in class $\mathcal {B}$ with at least two grand orbits of oscillating wandering domains. In this paper we show that his example has exactly two such orbits, that is, $f$ has no unexpected wandering domains. We apply this result to the classical problem of relating the Julia sets of composite functions with the Julia set of its members. More precisely, we show the existence of two entire maps $f$ and $g$ in class $\mathcal {B}$ such that the Fatou set of $f \circ g$ has a wandering domain, while all Fatou components of $f$ or $g$ are preperiodic. This complements a result of A. Singh in [Sin03, Theorem 4] and results of W. Bergweiler and A.Hinkkanen in [BH99] related to this problem. Note: Versió postprint del document publicat a: http://dx.doi.org/10.1016/j.jmaa.2015.04.020 It is part of: Journal of Mathematical Analysis and Applications, 2015, vol. 429, num. 1, p. 478-496 Related resource: http://dx.doi.org/10.1016/j.jmaa.2015.04.020 URI: http://hdl.handle.net/2445/97100 ISSN: 0022-247X Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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