DIMENSIONS OF DISTRIBUTION SETS IN THE UNIT INTERVAL

Title & Authors
DIMENSIONS OF DISTRIBUTION SETS IN THE UNIT INTERVAL
Baek, In-Soo;

Abstract
The unit interval is not homeomorphic to a self-similar Cantor set in which we studied the dimensions of distribution subsets. However we show that similar results regarding dimensions of the distribution subsets also hold for the unit interval since the distribution subsets have similar structures with those in a self-similar Cantor set.
Keywords
Hausdorff dimension;packing dimension;distribution set;bounded Vitali covering;
Language
English
Cited by
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2.
PROPERTIES OF DUAL RIESZ-NÁGY-TAKÁCS DISTRIBUTIONS,;

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3.
MULTIFRACTAL SPECTRUM IN A SELF-SIMILAR ATTRACTOR IN THE UNIT INTERVAL,;

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4.
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5.
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6.
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7.
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8.
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9.
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10.
EXAMPLES OF NON-DIFFERENTIABILITY POINTS OF RIESZ-NÁGY-TAKÁCS FUNCTION,;

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1.
DERIVATIVE OF THE RIESZ-NÁGY-TAKÁCS FUNCTION, Bulletin of the Korean Mathematical Society, 2011, 48, 2, 261
2.
SINGULARITY ORDER OF THE RIESZ-NÁGY-TAKÁCS FUNCTION, Communications of the Korean Mathematical Society, 2015, 30, 1, 7
3.
THE MOMENTS OF THE RIESZ-NǺGY-TAKǺCS DISTRIBUTION OVER A GENERAL INTERVAL, Bulletin of the Korean Mathematical Society, 2010, 47, 1, 187
4.
SOME PROPERTIES OF THE RIESZ-NÁGY-TAKÁCS DISTRIBUTION, Honam Mathematical Journal, 2008, 30, 2, 227
5.
DECOMPOSITION OF THE RANDOM VARIABLE WHOSE DISTRIBUTION IS THE RIESZ-NÁGY-TAKÁCS DISTRIBUTION, Journal of the Chungcheong Mathematical Society , 2013, 26, 2, 421
6.
CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM, Bulletin of the Korean Mathematical Society, 2010, 47, 1, 1
7.
PROPERTIES OF DUAL RIESZ-NÁGY-TAKÁCS DISTRIBUTIONS, Honam Mathematical Journal, 2008, 30, 4, 671
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