• Title/Summary/Keyword: loosely self-similar set

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PACKING MEASURE AND DIMENSION OF LOOSELY SELF-SIMILAR SETS

  • TAE HEE KIM;MI RYEONG LEE;SANG HUN LEE;HUNG HWAN LEE
    • Communications of the Korean Mathematical Society
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    • v.13 no.4
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    • pp.781-789
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    • 1998
  • Let K be a loosely self-similar set. Then a-dimensional packing measure of K is the same as that of a Borel subset K( $r_1^{\alpha}$ㆍㆍㆍ$r_{m}$ $^{\alpha}$/) of K. And packing dimension of K is equal to that of K\K( $r_1^{\alpha}$ㆍㆍㆍ $r_{m}$ $^{\alpha}$/) and K( $r_1^{\alpha}$ㆍㆍㆍ $r_{m}$ $^{\alpha}$/).X> $^{\alpha}$/)).

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