Zhen-Liang Zhang

collaborators

2 papers

math.FA2026

On strong spaceability of continuous functions and fractal dimensions

Jia Liu, Saisai Shi, Zhenliang Zhang

Given $s \in (1, 2]$ , define $H_{s} [0, 1] = {f \in C [0, 1] : dim_{H} G_{f} ([0, 1]) = s}$ and $B_{s} [0, 1] = {f \in C [0, 1] : dim_{B} G_{f} ([0, 1]) = s} .$ The main goal of this paper i…

math.NT2016

On the Hausdorff dimension faithfulness connected with $Q_{in f t y}$ -expansion

Jia Liu, Zhenliang Zhang

In this paper, we show that, the family of all possible union of finite consecutive cylinders of the same rank of $Q_{\infty}$ -expansion is faithful for the Hausdorff dimension cal…

On strong spaceability of continuous functions and fractal dimensions

On the Hausdorff dimension faithfulness connected with Qinfty​-expansion

On the Hausdorff dimension faithfulness connected with $Q_{in f t y}$ -expansion