Zhou Feng

activity

20202026

most citedEstimates on the dimension of self-similar measures with overlaps

2 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

math.DS2026

Dimension of self-conformal measures associated to an exponentially separated holomorphic IFS

Zhou Feng, Ariel Rapaport

Let $Φ$ be a holomorphic IFS on a bounded domain in $C$ . Suppose that the following conditions hold: (1) the maps in $Φ$ do not have a common fixed point; (2) there does n…

math.DS2025

Dimension of diagonal self-affine measures with exponentially separated projections

Zhou Feng

Let $μ$ be a self-affine measure associated with a diagonal affine iterated function system (IFS) $ Φ= \{ (x_{1}, \ldots, x_{d}) \mapsto ( r_{i, 1}x_{1} + t_{i,1}, \ldots, r_{i,d}…

math.DS2024

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets

Zhou Feng

Let $K$ be a compact subset of the $d$ -torus invariant under an expanding diagonal endomorphism with $s$ distinct eigenvalues. Suppose the symbolic coding of $K$ satisfies weak…

math.DS2024

Dimension of homogeneous iterated function systems with algebraic translations

De-Jun Feng, Zhou Feng

Let $μ$ be the self-similar measure associated with a homogeneous iterated function system $Φ = {λ x + t_{j}}_{j = 1}^{m}$ on $R$ and a probability vector $(p_{j})_{j = 1}^{m}$ ,…

math.CA2023

Intermediate dimensions under self-affine codings

Zhou Feng

Intermediate dimensions were recently introduced by Falconer, Fraser, and Kempton [Math. Z., 296, (2020)] to interpolate between the Hausdorff and box-counting dimensions. In this…

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.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.OC2020

The unified theoretical frame of logarithmic alternative model for sparse information recovery and its application in multiple source location problem by TDOA

Wang Changlong, Zhou Feng, Wang Weichao +1

In sparse information recovery, the core problem is to solve the $l_{0}$ -minimization which is NP-hard. On one hand, in order to recover the original sparse solution, there are a lot…