Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614698 | Journal of Mathematical Analysis and Applications | 2015 | 30 Pages |
Abstract
In this paper, we introduce a class of fractals named homogeneous sets based on some measure versions of homogeneity, uniform perfectness and doubling. This fractal class includes all Ahlfors–David regular sets, but most of them are irregular in the sense that they may have different Hausdorff dimensions and packing dimensions. Using Moran sets as the main tool, we study the dimensions, bilipschitz embedding and quasi-Lipschitz equivalence of homogeneous fractals.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fan Lü, Man-Li Lou, Zhi-Ying Wen, Li-Feng Xi,