The mutual singularity of multifractal measures for some non-regular Moran fractals
Volume 69 / 2021
Bulletin Polish Acad. Sci. Math. 69 (2021), 21-35
MSC: Primary 28A20; Secondary 28A78, 28A80.
DOI: 10.4064/ba210216-9-10
Published online: 18 October 2021
Abstract
We study the multifractal dimension functions of the Moran measure associated with a homogeneous (non-regular) Moran fractal and show that the multifractal measures are mutually singular when the multifractal Hausdorff and packing functions differ. As an application, we give concrete examples related to these concepts.
