Open AccessRemarks on the mutual singularity of multifractal measures
Author(s) -
Bilel Selmi
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-2021-01-0005
Subject(s) - multifractal system , singularity , bernoulli's principle , mathematics , hausdorff space , grid , pure mathematics , fractal , statistical physics , mathematical economics , mathematical analysis , geometry , physics , thermodynamics
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.