The Hausdorff dimension of multiply Xiong chaotic sets
Dynamical Systems
2020-10-07 v1
Abstract
We construct a multiply Xiong chaotic set with full Hausdorff dimension everywhere that is contained in some multiply proximal cell for the full shift over finite symbols and the Gauss system respectively.
Cite
@article{arxiv.1904.00652,
title = {The Hausdorff dimension of multiply Xiong chaotic sets},
author = {Jian Li and Jie Lü and Yuanfen Xiao},
journal= {arXiv preprint arXiv:1904.00652},
year = {2020}
}
Comments
21 pages, to appear in Ergodic Theory and Dynamical Systems