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

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5 papers · 1 filter

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.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…