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Dimensions of statistically self-affine functions and random Cantor setsJones, Taylor 05 1900 (has links)
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.
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