De‐Jun Feng

activity

20102022

most citedSelf-similar subsets of the Cantor set

2 citations · 3 across the 6 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.DS2022

A separation property for iterated function systems of similitudes

De-Jun Feng, Huo-Jun Ruan, Ying Xiong

Let $E$ be the attractor of an iterated function system ${ϕ_{i} (x) = ρ R_{i} x + a_{i}}_{i = 1}^{N}$ on $R^{d}$ , where $0 < ρ < 1$ , $a_{i} \in R^{d}$ and $R_{i}$ are orthogonal transformations on $…

math.DS2014

Variational principle for weighted topological pressure

De-Jun Feng, Wen Huang

Let $π : X \to Y$ be a factor map, where $(X, T)$ and $(Y, S)$ are topological dynamical systems. Let $a = (a_{1}, a_{2}) \in R^{2}$ with $a_{1} > 0$ and $a_{2} \geq 0$ , and $f \in C (X)$ . Th…

math.DS2014

Affine embeddings and intersections of Cantor sets

De-Jun Feng, Wen Huang, Hui Rao

Let $E, F \subset R^{d}$ be two self-similar sets. Under mild conditions, we show that $F$ can be $C^{1}$ -embedded into $E$ if and only if it can be affinely embedded into $E$ ; further…

math.DS2014★ 2 cited

Self-similar subsets of the Cantor set

De-Jun Feng, Hui Rao, Yang Wang

In this paper, we study the following question raised by Mattila in 1998: what are the self-similar subsets of the middle-third Cantor set $\C$? We give criteria for a complete cla…

math.DS2010★ 1 cited

Dimension theory of iterated function systems

De-Jun Feng, Huyi Hu

Let ${S_{i}}_{i = 1}^{ℓ}$ be an iterated function system (IFS) on $R^{d}$ with attractor $K$ . Let $(Σ, σ)$ denote the one-sided full shift over the alphabet ${1, ..., ℓ}$ . We defi…