Haibo Chen

collaborators

3 papers

math.NT2018

Hausdorff dimensions of level sets related to moving digit means

Haibo Chen

In this paper, we will introduce and study the lower moving digit mean $M (x)$ and the upper moving digit mean $M (x)$ of $x \in [0, 1]$ in $p$ -adic expansion, wh…

math.DS2018

The multifractal spectra of planar waiting sets in beta expansions

Haibo Chen

Let $β > 1$ be a real number. In this paper, the Hausdorff dimension of sets consisting of pairs of numbers with prescribed quantitative waiting time indicators in $β$ -expansions are…

math.NT2018

Hausdorff dimensions of sets related to Erdös-Rényi averages in beta expansions

Haibo Chen

Let $β > 1$ , $I$ be the unite interval $[0, 1)$ and $ϕ$ be an integer function defined on $N ∖ {0}$ satisfying $1 \leq ϕ (n) \leq n$ . Denote by $A_{ϕ} (x, β)$ the Erdös-Rényi…