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math.DS2019
Classifying simply connected wandering domains
Anna Miriam Benini, Vasiliki Evdoridou, Núria Fagella +2
While the dynamics of transcendental entire functions in periodic Fatou components and in multiply connected wandering domains are well understood, the dynamics in simply connected…
math.DS2019
A bound on the number of rationally invisible repelling orbits
Anna Miriam Benini, Núria Fagella
We consider entire transcendental maps with bounded set of singular values such that periodic rays exist and land. For such maps, we prove a refined version of the Fatou-Shishikura…