5 papers · 1 filter
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…
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…
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-…
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…
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…