Chaotic and Topological Properties of Continued Fractions
Dynamical Systems
2016-09-01 v2
Abstract
We prove that there exists a scrambled set for the Gauss map with full Hausdorff dimension. Meanwhile, we also investigate the topological properties of the sets of points with dense or non-dense orbits.
Keywords
Cite
@article{arxiv.1607.07339,
title = {Chaotic and Topological Properties of Continued Fractions},
author = {Weibin Liu and Bing Li},
journal= {arXiv preprint arXiv:1607.07339},
year = {2016}
}
Comments
10 pages, 1 figure