22 citations · 24 across the 2 of their papers we have counts for
8 papers
Conformal measures for meromorphic maps
Krzysztof Barański, Bogusława Karpińska, Anna Zdunik
In this paper we study the relation between the existence of a conformal measure on the Julia set of a transcendental meromorphic map and the existence of zero of the to…
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…
Accesses to infinity from Fatou components
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
We study the boundary behaviour of a meromorphic map on its invariant simply connected Fatou component . To this aim, we develop the theor…
Bowen's formula for meromorphic functions
Krzysztof Barański, Bogusława Karpińska, Anna Zdunik
Let be an arbitrary transcendental entire or meromorphic function in the class (i.e. with finitely many singularities). We show that the topological pressure $P(f,…
On the Hausdorff dimension of the Julia set of a regularly growing entire function
Walter Bergweiler, Bogusława Karpińska
We show that if the growth of a transcendental entire function f is sufficiently regular, then the Julia set and the escaping set of f have Hausdorff dimension 2.
Dimension properties of the boundaries of exponential basins
Krzysztof Barański, Bogusława Karpińska, Anna Zdunik
We prove that the boundary of a component of the basin of an attracting periodic cycle (of period greater than 1) for an exponential map on the complex plane has Hausdorff dime…