The relative multifractal analysis, review and examples

Selmi Bilel: The relative multifractal analysis, review and examples. In: Acta scientiarum mathematicarum, (86) 3-4. pp. 635-666. (2020)

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Abstract

In the present paper, we suggest new proofs of many known results about the relative multifractal formalism. We provide results even at points q for which the relative multifractal Hausdorff and packing functions differ. We also give some examples of two measures where the multifractal functions are different and the Hausdorff dimension of the level sets of the ν-local Hölder exponent is given by the Legendre transform of the multifractal Hausdorff function and their packing dimension by the Legendre transform of the multifractal packing function.

Item Type:	Article
Heading title:	Analysis
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2020
Volume:	86
Number:	3-4
ISSN:	2064-8316
Page Range:	pp. 635-666
Language:	English
Related URLs:	http://acta.bibl.u-szeged.hu/73790/
DOI:	10.14232/actasm-020-801-8
Uncontrolled Keywords:	Matematika
Additional Information:	Bibliogr.: p. 662-666. ; összefoglalás angol nyelven
Date Deposited:	2021. Nov. 15. 14:34
Last Modified:	2021. Nov. 15. 14:34
URI:	http://acta.bibl.u-szeged.hu/id/eprint/73908

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