On multifractality and time subordination for continuous functions

• Autores: Stéphane Seuret
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 3, 2009, págs. 936-963
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.10.009
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• Resumen

  • Let be a continuous function. This paper relates to the existence of a decomposition of Z as Z=g?f, where is a monofractal function with exponent 0

    We find an interesting relationship between self-similar functions and self-similar measures as an application of our results.

    Our theorems yield new insights in the understanding of the multifractal behaviour of functions, giving a significant role to the regularity analysis of Borel measures.