18. Random fractal objects
Deterministic fractal sets are generated by means of a deterministic rule (by iteration or recurrence), whereas stochastic fractal sets result from the use of a probabilistic procedure
. Thus, the parts of a random fractal no longer strictly resemble the entire fractal, but have the same probability distribution (chapter 15 of
...
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Random fractal objects
Bibliography
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(1) - AARTS (J.M.), NISHIURA (T.) -
Dimension and extensions,
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North-Holland, 331 pages (1993).
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(2) - ALBEVERIO (S.), PRATSIOVYTYL (M.), TORBIN (G.) -
Transformations preserving the Hausdorff-Besicovitch dimension,...
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