Hausdorff Dimension and Hausdorff Measure for Non-integer based Cantor-type Sets
Dynamical Systems
2007-07-02 v1 Metric Geometry
Abstract
We consider digits-deleted sets or Cantor-type sets with -expansions. We calculate the Hausdorff dimension of these sets and show that is continuous with respect to . The -dimentional Hausdorff measure of these sets is finite and positive.
Cite
@article{arxiv.0706.4343,
title = {Hausdorff Dimension and Hausdorff Measure for Non-integer based Cantor-type Sets},
author = {Qinghe Yin},
journal= {arXiv preprint arXiv:0706.4343},
year = {2007}
}