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Dimensions of statistically self-affine functions and random Cantor sets

The subject of fractal geometry has exploded over the past 40 years with the availability of computer generated images. It was seen early on that there are many interesting questions at the intersection of probability and fractal geometry. In this dissertation we will introduce two random models for constructing fractals and prove various facts about them.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc2137655
Date05 1900
CreatorsJones, Taylor
ContributorsAllaart, Pieter, Lazebnik, Kirill, UrbaƄski, Mariusz
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
FormatText
RightsPublic, Jones, Taylor, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved.

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