De-Jun Feng

activity

20022026

most citedLyapunov spectrum of asymptotically sub-additive potentials

145 citations · 334 across the 34 of their papers we have counts for

collaborators

34 papers

math.CA2026

On the Rajchman property of homogeneous self-affine measures

De-Jun Feng, Tian-Han Yi

We provide a complete algebraic characterization of homogeneous self-affine measures whose Fourier transform does not tend to $0$ at infinity. Moreover, we prove that an integral s…

math.CA2022

Typical self-affine sets with non-empty interior

De-Jun Feng, Zhou Feng

Let $T_{1}, \dots, T_{m}$ be a family of $d \times d$ invertible real matrices with $∥ T_{i} ∥ < 1/2$ for $1 \leq i \leq m$ . We provide some sufficient conditions on these matrices such that…

math.DS2022

Dimensions of projected sets and measures on typical self-affine sets

De-Jun Feng, Chiu-Hong Lo, Cai-Yun Ma

Let $T_{1}, \dots, T_{m}$ be a family of $d \times d$ invertible real matrices with $∥ T_{i} ∥ < 1/2$ for $1 \leq i \leq m$ . For $a = (a_{1}, \dots, a_{m}) \in R^{m d}$ , let $π^{\bf a}:\;…

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.DS2021

Dimension estimates for $C^{1}$ iterated function systems and repellers. Part II

De-Jun Feng, Károly Simon

This is the second part of our study of the dimension theory of $C^{1}$ iterated function systems (IFSs) and repellers on $R^{d}$ . In the first part we proved that the upper box…

math.DS2021★ 2 cited

Estimates on the dimension of self-similar measures with overlaps