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Boundaries of Baker domains of entire functions. A finer approach
Anna Jové, Łukasz Pawelec
We consider transcendental entire functions having doubly parabolic Baker domains, such that the Denjoy-Wolff point of the associated inner function is not a singularity. We descri…
On the convergence of boundary points for hyperbolic inner functions
Anna Jové, Mateo Mencía
Given a hyperbolic inner function with Denjoy-Wolff point , it is well known that almost every point $ξ\in \partial…
Boundaries of multiply connected Fatou components. A unified approach
Gustavo R. Ferreira, Anna Jové
We analyze the boundaries of multiply connected Fatou components of transcendental maps by means of universal covering maps and associated inner functions. A unified approach is pr…
Boundaries of hyperbolic and simply parabolic Baker domains
Anna Jové
We study the boundaries of non-univalent simply connected Baker domains of transcendental maps (both entire and meromorphic), of hyperbolic and simply parabolic type. We prove non-…
Pesin theory for transcendental maps and applications
Anna Jové
In this paper, we develop Pesin theory for the boundary map of some Fatou components of transcendental functions, under certain hyptothesis on the singular values and the Lyapunov…
Periodic boundary points for simply connected Fatou components of transcendental maps
Anna Jové
Let f be a transcendental map, and let U be an attracting or parabolic basin, or a doubly parabolic Baker domain. Assume U is simply connected. Then, we prove that periodic points…
Boundary dynamics in unbounded Fatou components
Anna Jové, Núria Fagella
We study the behaviour of a transcendental entire map on an unbounded invariant Fatou component , assuming that infinity is accessible from…
A model for boundary dynamics of Baker domains
Núria Fagella, Anna Jové-Campabadal
We consider the transcendental entire function , which has a doubly parabolic Baker domain of degree two, i.e. an invariant stable component for which all iter…