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RELATION BETWEEN FRACTAL MEASURES AND CANTOR MEASURES
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 Title & Authors
RELATION BETWEEN FRACTAL MEASURES AND CANTOR MEASURES
Baek, In-Soo;
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 Abstract
We investigate the relation between Hausdorff(packing) measure and lower(packing) Cantor measure on a deranged Cantor set. If the infimum of some distortion of contraction ratios is positive, then Hausdorff(packing) measure and lower(packing) Cantor measure of a deranged Cantor set are equivalent except for some singular behavior for packing measure case. It is a generalization of already known result on the perturbed Cantor set.
 Keywords
Cantor set;Hausdorff measure;packing measure;Cantor measure;
 Language
English
 Cited by
 References
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