29 citations · 103 across the 29 of their papers we have counts for
4 papers · 2 filters
Large intersection classes on fractals
David Färm, Tomas Persson
We consider limit sets of some conformal iterated function systems, and introduce classes of subsets of the limit set, with the property that the classes are closed under countable…
On the Hausdorff Dimension of Piecewise Hyperbolic Attractors
Tomas Persson
We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff dimension of the attractor is calculated in terms of the Lyapunov exponents, provided that the map sat…
Random iterated function systems with smooth invariant densities
Tomas Persson
We consider some random iterated function systems on the interval and show that the invariant measure has density in . To prove this we use some techniques for…
The absolute continuity of the invariant measure of random iterated function systems with overlaps
Balazs Barany, Tomas Persson
We consider iterated function systems on the interval with random perturbation. Let be uniformly distributed in and let be contractions with…