27 citations · 190 across the 27 of their papers we have counts for
5 papers · 1 filter
Escaping points in the boundaries of Baker domains
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
We study the dynamical behaviour of points in the boundaries of simply connected invariant Baker domains of meromorphic maps with a finite degree on . We prove that if $…
The Fine Structure of Herman Rings
Núria Fagella, Christian Henriksen
We study the geometric structure of the boundary of Herman rings in a model family of Blaschke products of degree 3. Shishikura's quasiconformal surgery relates the Herman ring to…
Tongues in Degree 4 Blaschke Products
Jordi Canela, Núria Fagella, Antonio Garijo
The goal of this paper is to investigate the family of Blasche products , which is a rational family of perturbations of the doubling map. We focu…
Connectivity of Julia sets of Newton maps: A unified approach
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
In this paper we give a unified proof of the fact that the Julia set of Newton's method applied to a holomorphic function of the complex plane (a polynomial of degree large than $1…
On a Family of Rational Perturbations of the Doubling Map
Jordi Canela, Núria Fagella, Antonio Garijo
The goal of this paper is to investigate the parameter plane of a rational family of perturbations of the doubling map given by the Blaschke products $B_a(z)=z^3\frac{z-a}{1-\bar{a…