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Geometry of Self-Similar Sets

descriptionPublicationkeyboard_double_arrow_right Thesis 14 Mar 2014Publisher:Virginia Tech
Authors: Roinestad, Kristine A.;

handle: 10919/32581

Geometry of Self-Similar Sets

Abstract

This paper examines self-similar sets and some of their properties, including the natural equivalence relation found in bilipschitz equivalence. Both dimension and preservation of paths are determined to be invariant under this equivalence. Also, sophisticated techniques, one involving the use of directed graphs, show the equivalence of two spaces.

Master of Science

Related Organizations
Keywords

Bilipschitz Equivalence, Self-Similarity, Cantor Sets

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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