On the mixed multifractal formalism for vector-valued measures

• Selmi, Bilel ^[1] ; Ben Mabrouk, Anouar ^[1]
  1. [1] University of Monastir

     University of Monastir

     Túnez

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 5, 2022, págs. 1015-1032
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-4187
• Enlaces
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• Resumen

  • 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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