V-variable fractals and superfractals

Details V-variable fractals and superfractals V-variable fractals and superfractals

2003-12-16

arxiv.org/abs/math/0312314v1

Mathematics

Probability

17 pages, 10 figures

Scientific paper

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 technology. However, for many applications deterministic fractals are locally too similar near distinct points while standard random fractals have too little local correlation. Random fractals are also slow and difficult to compute. These two major problems restricting further applications are solved here by the introduction of V-variable fractals and superfractals.

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