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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.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc3160
Date05 1900
CreatorsBerlinkov, Artemi
ContributorsMauldin, R. Daniel, Monticino, Michael G., UrbaƄski, Mariusz, Quintanilla, John, Edgar, Gerald A.
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
FormatText
RightsPublic, Copyright, Berlinkov, Artemi, Copyright is held by the author, unless otherwise noted. All rights reserved.

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