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

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22 papers · 1 filter

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

De-Jun Feng, Zhou Feng

In this paper, we provide an algorithm to estimate from below the dimension of self-similar measures with overlaps. As an application, we show that for any $β \in (1, 2)$ , the dimen…

math.DS2020★ 1 cited

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

De-Jun Feng, Károly Simon

This is the first article in a two-part series containing some results on dimension estimates for $C^{1}$ iterated function systems and repellers. In this part, we prove that the upp…

math.DS2020

On multifractal formalism for self-similar measures with overlaps

Julien Barral, De-Jun Feng

Let $μ$ be a self-similar measure generated by an IFS $Φ = {ϕ_{i}}_{i = 1}^{ℓ}$ of similarities on $R^{d}$ ( $d \geq 1$ ). When $Φ$ is dimensional regular (see Definition~1.1), we g…