Some New Characterizations of Olsen’s Multifractal Functions

Selmi, Bilel

doi:10.1007/s00025-020-01277-2

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2021

2025

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Cited by 8 publications

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“…This means that, we somehow forget the geometric structure of X and focus instead on the properties of the measure µ. The set X is thus partitioned into α-level sets X µ (α) relatively to the regularity exponent of µ (see for example [1,2,9,21,22,23,27,31,39,40,42,43]). In the present work, we will be interested to the development of a mixed multifractal analysis of finitely many measures.…”

Section: Introductionmentioning

confidence: 99%

On the mixed multifractal formalism for vector-valued measures

Selmi

Mabrouk

2022

Proyecciones (Antofagasta)

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The multifractal formalism for vector-valued measures holds when-ever the existence of corresponding Gibbs-like measures, supported on the singularities sets holds. We tried through this article to improve a result developed by Menceur et al. in [29] and to suggest a new sufficient condition for a valid mixed multifractal formalism for vector-valued measures. We describe a necessary condition of validity for the formalism which is very close to the sufficient one.

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