11 citations · 17 across the 4 of their papers we have counts for
4 papers
Spectral Asymptotics for -variable Sierpinski Gaskets
U. Freiberg, B. M. Hambly, John E. Hutchinson
The family of -variable fractals provides a means of interpolating between two families of random fractals previously considered in the literature; scale irregular fractals ($V=…
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…
V-variable fractals and superfractals
Michael Barnsley, John E. Hutchinson, Örjan Stenflo
Deterministic and random fractals, within the framework of Iterated Function Systems, have been used to model and study a wide range of phenomena across many areas of science and t…
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…