Totally disconnected Julia set for different classes of meromorphic functions

Domínguez, P.; Hernández, A.; Sienra, G.

doi:10.1090/S1088-4173-2014-00258-6

Totally disconnected Julia set for different classes of meromorphic functions
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by P. Domínguez, A. Hernández and G. Sienra PDF

Conform. Geom. Dyn. 18 (2014), 1-7 Request permission

Abstract:

We study a class of functions $\textbf {A}$ given by Epstein in Towers of finite type complex analytic maps, ProQuest LLC, Ann Arbor, MI, 1993, called finite-type maps. We extend a result related with the Julia set given by Baker, Domínguez in Some connectedness properties of Julia sets, Complex Variable Theory Appl. 41 (2000), 371–389, and Baker, Domínguez, and Herring in Dynamics of functions meromorphic outside a small set, Ergodic Theory Dynam. Systems 21 (2001), 647–672, to functions in class $\textbf {A}$.

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