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Start Over Partner UNT Libraries Degree Department Department of Mathematics Year 2002 Month May

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Dimensions in Random Constructions. (open access)

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