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Dimensions in Random Constructions.
We consider random fractals generated by random recursive constructions, prove zero-one laws concerning their dimensions and find their packing and Minkowski dimensions. Also we investigate the packing measure in corresponding dimension. For a class of random distribution functions we prove that their packing and Hausdorff dimensions coincide.
Date:
May 2002
Creator:
Berlinkov, Artemi
System:
The UNT Digital Library