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Relative multifractal spectrum

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초록

We obtain a relation between generalized Hausdorff and packing multifractal premeasures and generalized Hausdorff and packing multifractal measures. As an application, we study a general formalism for the multifractal analysis of one probability measure with respect to an other.

Abstract

We obtain a relation between generalized Hausdorff and packing multifractal premeasures and generalized Hausdorff and packing multifractal measures. As an application, we study a general formalism for the multifractal analysis of one probability measure with respect to an other.

참고문헌 (15)

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  12. B. Mandelbrot, "The Fractal Geometry of Nature" (1982), W. H. Freeman
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  15. S. Wen, "Relations between packing premeasure and measure on metric space", Acta Math. Sci., 27(1), pp.137~144 (2007)[DOI]

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