6 citations · 6 across the 4 of their papers we have counts for
4 papers
Ekström-Persson conjecture regarding random covering sets
Esa Järvenpää, Maarit Järvenpää, Markus Myllyoja +1
We consider the Hausdorff dimension of random covering sets generated by balls and general measures in Euclidean spaces. We prove, for a certain parameter range, a conjecture by Ek…
Random iterations of homeomorphisms on the circle
Katrin Gelfert, Örjan Stenflo
We study random independent and identically distributed iterations of functions from an iterated function system of homeomorphisms on the circle which is minimal. We show how such…
V-Variable Fractals: Fractals with Partial Self Similarity
Michael Barnsley, John E. Hutchinson, Örjan Stenflo
We establish properties of a new type of fractal which has partial self similarity at all scales. For any collection of iterated functions systems with an associated probability di…
A Fractal Valued Random Iteration Algorithm and Fractal Hierarchy
Michael Barnsley, John E. Hutchinson, Örjan Stenflo
We describe new families of random fractals, referred to as "V-variable", which are intermediate between the notions of deterministic and of standard random fractals. The parameter…