Multi-Model Cantor Sets
Dynamical Systems
2007-05-23 v1
Abstract
In this paper we define a new class of metric spaces, called multi-model Cantor sets. We compute the Hausdorff dimension and show that the Hausdorff measure of a multi-model Cantor set is finite and non-zero. We then show that a bilipschitz map from one multi-model Cantor set to another has constant Radon-Nikodym derivative on some clopen. We use this to obtain an invariant up to bilipschitz homeomorphism.
Cite
@article{arxiv.math/0202198,
title = {Multi-Model Cantor Sets},
author = {Elizabeth Cockerill},
journal= {arXiv preprint arXiv:math/0202198},
year = {2007}
}
Comments
26 pages, 10 figures