Can I read V-Variable Fractals: Fractals with Partial Self Similarity on EtoBox?

V-Variable Fractals: Fractals with Partial Self Similarity by Barnsley, Michael; Hutchinson, John E.; Stenflo, Örjan is a scholarly article available to read on EtoBox.

What is V-Variable Fractals: Fractals with Partial Self Similarity about?

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 distribution and any positive integer V there is a corresponding class of V-variable fractal sets or measures. These V-variable fractals can be obtained from the points on the attractor of a single deterministic iterated function system. Existence, uniqueness and approximation results are established under average contractive assumptions. We also obtain extensions of some basic results concerning iterated function systems.

Author

Barnsley, Michael; Hutchinson, John E.; Stenflo, Örjan

Published

2008

Language

EN