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Estimates Of The Densities For A Kind Of Self-similar Measure

Posted on:2011-02-10Degree:MasterType:Thesis
Country:ChinaCandidate:H Q ZhangFull Text:PDF
GTID:2120360305499762Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In 1985, Salli proved that the upper and lower densities of almost every point of any self-similar sets equal constants . Feng Hua and Wen studied the upper and lower densities of any point of the classic middle-third Cantor set, and gave them the equalities, and calculated the exact values of the densities for almost all points. Wenxia Li and Yuanyuan Yao studied the densities of any point for non-symmetric Cantor set. In this paper. we give the estimates of the densities for any point of the self-similar set generates by...
Keywords/Search Tags:Cantor set, Density, Self-similar measure, Self-similar set, Contraction mappings
PDF Full Text Request
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