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math.DS2012
Singular values and bounded Siegel disks
Anna Miriam Benini, Nuria Fagella
Let be an entire transcendental function of finite order and be a forward invariant bounded Siegel disk for with rotation number in Herman's class . We sho…
math.DS2012★ 27 cited
On the connectivity of the Julia sets of meromorphic functions
Krzysztof Baranski, Nuria Fagella, Xavier Jarque +1
We prove that every transcendental meromorphic map f with a disconnected Julia set has a weakly repelling fixed point. This implies that the Julia set of Newton's method for findin…