Yubin He

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20222026

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3 papers · 1 filter

math.NT2026

Hausdorff dimension for exactly approximable matrices

Yubin He, Bixuan Li, Baowei Wang

We establish the Hausdorff dimension for exactly approximable matrices for all dimensions, including the inhomogeneous case. More precisely, let $ψ : N \to (0, \infty)$ be a non-increa…

math.NT2026

Hausdorff dimension of $τ$ -approximable points on self-similar sets in $R^{d}$

Yubin He, Lingmin Liao

Let $d \geq 1$ . Let $K \subset R^{d}$ be a non-singleton self-similar set generated by a finite strongly irreducible iterated function system satisfying the open set condition,…

math.NT2026

Jarník-type theorem for self-similar sets

Yubin He, Lingmin Liao

Let $K \subset R^{d}$ be a compact subset equipped with a $δ$ -Ahlfors regular measure $μ$ . For any $τ > 1/ d$ and any ``inhomogeneous'' vector $θ \in R^{d}$ , let $W…

Hausdorff dimension for exactly approximable matrices

Hausdorff dimension of τ-approximable points on self-similar sets in Rd

Jarník-type theorem for self-similar sets

Hausdorff dimension of $τ$ -approximable points on self-similar sets in $R^{d}$