Dimensions in Random Constructions.

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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.

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Berlinkov, Artemi May 2002.

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  • Berlinkov, Artemi

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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.

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  • May 2002

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  • Sept. 26, 2007, 1:53 a.m.

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  • July 6, 2015, 2:08 p.m.

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Berlinkov, Artemi. Dimensions in Random Constructions., dissertation, May 2002; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc3160/: accessed October 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .