D. Kong

activity

20112022

most citedHausdorff dimension of unique beta expansions

46 citations · 180 across the 37 of their papers we have counts for

collaborators

Showing 2016 · math.NTShow all

3 papers · 2 filters

math.NT2016★ 2 cited

On the bifurcation set of unique expansions

Charlene Kalle, Derong Kong, Wenxia Li +1

Given a positive integer $M$ , for $q \in (1, M + 1]$ let $U_{q}$ be the set of $x \in [0, M / (q - 1)]$ having a unique $q$ -expansion with the digit set ${0, 1, \dots, M}$ , and l…

math.NT2016★ 3 cited

Univoque bases and Hausdorff dimension

Derong Kong, Wenxia Li, Fan Lü +1

Given a positive integer $M$ and a real number $q > 1$ , a \emph{ $q$ -expansion} of a real number $x$ is a sequence $(c_{i}) = c_{1} c_{2} \dots$ with $(c_{i}) \in {0, \dots, M}^{\infty}$ such th…

math.NT2016★ 3 cited

On small univoque bases of real numbers

Derong Kong

Given a positive real number $x$ , we consider the smallest base $q_{s} (x) \in (1, 2)$ for which there exists a unique sequence $(d_{i})$ of zeros and ones such that \[ x=\sum_{i=1}^\infty…