27 citations · 190 across the 27 of their papers we have counts for
4 papers · 1 filter
Accesses to infinity from Fatou components
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
We study the boundary behaviour of a meromorphic map on its invariant simply connected Fatou component . To this aim, we develop the theor…
Wandering domains for composition of entire functions
Núria Fagella, Sébastien Godillon, Xavier Jarque
C. Bishop has constructed an example of an entire function f in Eremenko-Lyubich class with at least two grand orbits of oscillating wandering domains. In this paper we show that h…
Hyperbolic entire functions with bounded Fatou components
Walter Bergweiler, Núria Fagella, Lasse Rempe-Gillen
We show that an invariant Fatou component of a hyperbolic transcendental entire function is a bounded Jordan domain (in fact, a quasidisc) if and only if it contains only finitely…
Absorbing sets and Baker domains for holomorphic maps
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
We consider holomorphic maps for a hyperbolic domain in the complex plane, such that the iterates of converge to a boundary point of . By a previous res…