Remarks on the mutual singularity of multifractal measures

• Selmi, Bilel ^[1]
  1. [1] University of Monastir

     University of Monastir

     Túnez

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 1, 2021, págs. 73-84
• Idioma: inglés
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• Resumen

  • In the present work, we study the mutual singularity of multifractal Hausdorff and packing measures which provide a positive answer to Olsen’s questions in a more general framework. Our main results apply to a family of measures supported by the full 5-adic grid of [0, 1], namely the quasi-Bernoulli measures.