Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2018; 33(2): 459-471

Online first article January 9, 2018      Printed April 30, 2018

https://doi.org/10.4134/CKMS.c170143

Copyright © The Korean Mathematical Society.

Relative multifractal spectrum

Najmeddine Attia

D\'epartement de Math\'ematiques

Abstract

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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.

Keywords: relative multifractal analysis, Hausdorff and packing dimensions

MSC numbers: 28A78, 28A80

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