Zhou Feng

collaborators

3 papers

math.DS2025

Dimension of diagonal self-affine measures with exponentially separated projections

Zhou Feng

Let $I^¼$ be a self-affine measure associated with a diagonal affine iterated function system (IFS) $ Î¦= \{ (x_{1}, \ldots, x_{d}) \mapsto ( r_{i, 1}x_{1} + t_{i,1}, \ldots, r_{i,…

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 $I^¼$ be the self-similar measure associated with a homogeneous iterated function system $I^¦ = {I^» x + t_{j}}_{j = 1}^{m}$ on $R$ and a probability vector $ (p_{j})_{j=1}^…