Dimension theoretical study on skew product maps with coupled-expanding property
Dynamical Systems
2014-12-22 v2
Abstract
We discuss on some families of skew product maps on a square. For a kind of skew product maps with coupled-expanding property, we estimate Hausdorff dimension of its attractor. And we prove that there exists an ergodic measure with full Hausdorff dimension for this kind of skew product maps.
Cite
@article{arxiv.1401.3206,
title = {Dimension theoretical study on skew product maps with coupled-expanding property},
author = {Jinhyon Kim and Hyonhui Ju},
journal= {arXiv preprint arXiv:1401.3206},
year = {2014}
}
Comments
9 pages, 2 figures