6 citations · 10 across the 4 of their papers we have counts for
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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…
math.DS2007★ 4 cited
Transformations between attractors of hyperbolic iterated function systems
Michael F. Barnsley
This paper is in the form of an essay. It defines fractal tops and code space structures associated with set-attractors of hyperbolic iterated function systems (IFSs). The fractal…
math.DS2005★ 6 cited
Existence and Uniqueness of Orbital Measures
Michael Barnsley
We note an elementary proof of the existence and uniqueness of a solution to the equation . Here is a topological space, $\m…