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math.DS2017★ 6 cited
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…
math.DS2008
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…