Multifractal phenomena and packing dimension

Frédéric Bayart ^[1] ; Yanick Heurteaux ^[1]
1. [1] University of Clermont Auvergne
  
  University of Clermont Auvergne
  
  Arrondissement de Clermont-Ferrand, Francia
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 3, 2019, págs. 767-804
Idioma: inglés
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Resumen
- We undertake a general study of multifractal phenomena for functions or measures. We show that the existence of several kinds of multifractal functions or measures can be easily deduced from an abstract statement, leading to new results. This general approach does not work for Fourier or Dirichlet series. Using careful constructions, we extend our results to these cases.