The Hausdorff dimension of multiply Xiong chaotic sets
arXiv:1904.00652 · doi:10.1017/etds.2019.35
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.
21 pages, to appear in Ergodic Theory and Dynamical Systems