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 2020 · math.DSShow all

3 papers · 2 filters

math.DS2020

Density spectrum of Cantor measure

Pieter Allaart, Derong Kong

Given $ρ \in (0, 1/3]$ , let $μ$ be the Cantor measure satisfying $μ = \frac{1}{2} μ f_{0}^{- 1} + \frac{1}{2} μ f_{1}^{- 1}$ , where $f_{i} (x) = ρ x + i (1 - ρ)$ for $i = 0, 1$ . The support of $μ$ is a Cantor…

math.DS2020

On a kind of self-similar sets with complete overlaps

Derong Kong, Yuanyuan Yao

Let $E$ be the self-similar set generated by the {\it iterated function system} {\[ f_0(x)=\frac{x}β,\quad f_1(x)=\frac{x+1}β, \quad f_{β+1}=\frac{x+β+1}β \]}with $β \geq 3$ . {Then}…

math.DS2020★ 1 cited

Pointwise densities of homogeneous Cantor measure and critical values

Derong Kong, Wenxia Li, Yuanyuan Yao

Let $N \geq 2$ and $ρ \in (0, 1/ N^{2}]$ . The homogenous Cantor set $E$ is the self-similar set generated by the iterated function system \[ \left\{f_i(x)=ρx+\frac{i(1-ρ)}{N-1}: i=0,1,\ldo…