V-Variable Fractals: Fractals with Partial Self Similarity

Autor:	Barnsley, Michael, Hutchinson, John E., Stenflo, Örjan
Rok vydání:	2008
Předmět:	Mathematics - Dynamical Systems Mathematics - Probability 28A80 37H99 60G57 60J05
Druh dokumentu:	Working Paper
Popis:	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. Comment: 33 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0802.0064 Zobrazit plný text záznamu View this record from Arxiv