Weakly controlled Moran constructions and iterated functions systems in metric spaces
Dynamical Systems
2010-03-02 v1
Abstract
We study the Hausdorff measures of limit sets of weakly controlled Moran constructions in metric spaces. The separation of the construction pieces is closely related to the Hausdorff measure of the corresponding limit set. In particular, we investigate different separation conditions for semiconformal iterated function systems. Our work generalizes well known results on self-similar sets in metric spaces as well as results on controlled Moran constructions in Euclidean spaces.
Keywords
Cite
@article{arxiv.1003.0349,
title = {Weakly controlled Moran constructions and iterated functions systems in metric spaces},
author = {Tapio Rajala and Markku Vilppolainen},
journal= {arXiv preprint arXiv:1003.0349},
year = {2010}
}
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36 pages