D. Kong

activity

20112022

most citedHausdorff dimension of unique beta expansions

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

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Showing 2015 · math.NTShow all

5 papers · 2 filters

math.NT2015★ 7 cited

Multiple expansions of real numbers with digits set ${0, 1, q}$

Karma Dajani, Kan Jiang, Derong Kong +1

For $q > 1$ we consider expansions in base $q$ over the alphabet ${0, 1, q}$ . Let $U_{q}$ be the set of $x$ which have a unique $q$ -expansions. For $k = 2, 3, \dots, ℵ_{0}$ l…

math.NT2015

Smallest bases of expansions with multiple digits

Derong Kong, Wenxia Li, Yuru Zou

Given two positive integers $M$ and $k$ , let $\B_k$ be the set of bases $q > 1$ such that there exists a real number $x$ having exactly $k$ different $q$ -expansions over the alphabet…

math.NT2015

Typical points of univoque sets

Derong Kong, Fan Lü

Given a positive integer $M$ and a real number $q > 1$ , we consider the univoque set $U_{q}$ of reals which have a unique $q$ -expansion over the alphabet ${0, 1, \dots, M}$ …

math.NT2015★ 10 cited

Hausdorff dimension of univoque sets and Devil's staircase

Vilmos Komornik, Derong Kong, Wenxia Li

We fix a positive integer $M$ , and we consider expansions in arbitrary real bases $q > 1$ over the alphabet ${0, 1, ..., M}$ . We denote by $U_{q}$ the set of real numbers having a uniqu…

math.NT2015★ 13 cited

On a problem of countable expansions

Yuru Zou, Derong Kong

For a real number $q \in (1, 2)$ and $x \in [0, 1/ (q - 1)]$ , the infinite sequence $(d_{i})$ is called a \emph{ $q$ -expansion} of $x$ if $$ x=\sum_{i=1}^\infty\frac{d_i}{q^i},\quad d_i\in\{0,…

Multiple expansions of real numbers with digits set {0,1,q}

Smallest bases of expansions with multiple digits

Typical points of univoque sets

Hausdorff dimension of univoque sets and Devil's staircase

On a problem of countable expansions

Multiple expansions of real numbers with digits set ${0, 1, q}$