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 2011 · math.DSShow all

2 papers · 2 filters

math.DS2011

Slow entropy for noncompact sets and variational principle

De-Peng Kong, Er-Cai Chen

This paper defines and discusses the dimension notion of topological slow entropy of any subset for Z^d actions. Also, the notion of measure-theoretic slow entropy for Z^d actions…

math.DS2011★ 28 cited

Intersections of homogeneous Cantor sets and beta-expansions

Derong Kong, Wenxia Li, Michel Dekking

Let $Γ_{β, N}$ be the $N$ -part homogeneous Cantor set with $β \in (1/ (2 N - 1), 1/ N)$ . Any string $(j_{ℓ})_{ℓ = 1}^{N}$ with $j_{ℓ} \in {0, \pm 1, ..., \pm (N - 1)}$ such that $t=\sum_{\ell=1…