38 citations · 120 across the 8 of their papers we have counts for
8 papers
Local connectivity of boundaries of tame Fatou components of meromorphic functions
Krzystof Barański, Núria Fagella, Xavier Jarque +1
We prove local connectivity of the boundaries of invariant simply connected attracting basins for a class of transcendental meromorphic maps. The maps within this class need not be…
On the dimension of stationary measures for random piecewise affine interval homeomorphisms
Krzysztof Barański, Adam Śpiewak
We study stationary measures for iterated function systems (considered as random dynamical systems) consisting of two piecewise affine interval homeomorphisms, called Alsedà--Misiu…
Singular stationary measures for random piecewise affine interval homeomorphisms
Krzysztof Barański, Adam Śpiewak
We show that the stationary measure for some random systems of two piecewise affine homeomorphisms of the interval is singular, verifying partially a conjecture by Alsedà and Misiu…
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…
On the dimension of graphs of Weierstrass-type functions with rapidly growing frequencies
Krzysztof Baranski
We determine the Hausdorff and box dimension of the fractal graphs for a general class of Weierstrass-type functions of the form , w…