Local dimensions in Moran constructions

Abstract

We study the dimensional properties of Moran sets and Moran measures in doubling metric spaces. In particular, we consider local dimensions and $L^q$-dimensions. We generalize and extend several existing results in this area.

13 pages

References in corpus (2)

• Separation conditions on controlled Moran constructions
• Local multifractal analysis in metric spaces

Cited by in corpus (2)

• Certain singular distributions and fractals
• A note on correlation and local dimensions