27 citations · 78 across the 5 of their papers we have counts for
5 papers
On the dimension of points which escape to infinity at given rate under exponential iteration
Krzysztof Barański, Bogusława Karpińska
We prove a number of results concerning the Hausdorff and packing dimension of sets of points which escape (at least in average) to infinity at a given rate under non-autonomous it…
Fatou components and singularities of meromorphic functions
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
We prove several results concerning the relative position of points in the postsingular set of a meromorphic map and the boundary of a Baker domain or the successive ite…
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 $…
Absorbing sets and Baker domains for holomorphic maps
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
We consider holomorphic maps for a hyperbolic domain in the complex plane, such that the iterates of converge to a boundary point of . By a previous res…
On the connectivity of the Julia sets of meromorphic functions
Krzysztof Baranski, Nuria Fagella, Xavier Jarque +1
We prove that every transcendental meromorphic map f with a disconnected Julia set has a weakly repelling fixed point. This implies that the Julia set of Newton's method for findin…