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- W2950147251 abstract "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." @default.
- W2950147251 created "2019-06-27" @default.
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- W2950147251 date "2008-02-01" @default.
- W2950147251 modified "2023-09-27" @default.
- W2950147251 title "V-Variable Fractals: Fractals with Partial Self Similarity" @default.
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