3 citations · 4 across the 4 of their papers we have counts for
4 papers
Regularity and irregularity of fiber dimension of non-autonomous dynamical systems
Volker Mayer, Bartlomiej Skorulski, Mariusz Urbanski
This note concerns non-autonomous dynamics of rational functions and, more precisely, the fractal behavior of the Julia sets under perturbation of non-autonomous systems. We provid…
Hausdorff Dimension of Cantor Series
G. Iommi, B. Skorulski
In 1996 Y. Kifer obtained a variational formula for the Hausdorff dimension of the set of points for which the frequencies of the digits in the Cantor series expansion is given. In…
Distance Expanding Random Mappings, Thermodynamic Formalism, Gibbs Measures, and Fractal Geometry
Volker Mayer, Bartlomiej Skorulski, Mariusz Urbański
In this paper we define distance expanding random dynamical systems. We develop the appropriate thermodynamic formalism of such systems. We obtain in particular the existence and u…
Non-existence of absolutely continuous invariant probabilities for exponential maps
Neil Dobbs, Bartlomiej Skorulski
We show that for entire maps of the form such that the orbit of zero is bounded and such that Lebesgue almost every point is transitive, no absolutely continuo…