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Algebraic Sum Of Self-Similar Sets

Posted on:2013-01-31Degree:MasterType:Thesis
Country:ChinaCandidate:K JiangFull Text:PDF
GTID:2210330374467276Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this dissertation, we consider the dimension of algebraic sum of two self-similar sets, obtaining that the Hausdorff dimension, Packing dimension, Box dimension all are equal provided that all the similarity ratios are positive. We also afford a sufficient condition which can judge wether the sum of two self-similar sets is a self-similar set.
Keywords/Search Tags:Hausdorff dimension, self-similar sets, IISF, algebraic sum
PDF Full Text Request
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