Lingmin Liao

activity

20082026

most citedUniform Diophantine approximation related to

b

-ary and

β

-expansions

29 citations · 149 across the 38 of their papers we have counts for

collaborators

44 papers

math.NT2026

Counterexamples to the inhomogeneous Duffin-Schaeffer conjecture for a residual set of shifts

Yubin He, Lingmin Liao

Let $θ \in Q ∖ {0}$ . We construct an approximating function $ψ : N \to [0, \frac{1}{2})$ for which \[ \sum_{q=1}^{\infty}\frac{φ(q)}{q}ψ(q)=\infty, \] but the set of $…

math.CA2026

$P$ -adic $s$ -energy and Fourier dimension

Cheng Liu, Lingmin Liao

We extend the theory of $s$ -energy to $Q_{p}^{n}$ . We give an exact representation for the $s$ -energy in terms of the Fourier coefficients of a finite Borel measure with suppo…

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…

math.DS2024

Expanding property and statistical laws for $p$ -adic subhyperbolic rational maps

Shilei Fan, Lingmin Liao, Hongming Nie +1

Let $K$ be a finite extension of the field $Q_{p}$ of $p$ -adic numbers. A rational map $ϕ \in K (z)$ of degree at least $2$ is subhyperbolic if each critical point in the $\ma…

math.DS2023

Quantitative recurrence properties for piecewise expanding maps on $[0, 1]^{d}$

Yubin He, Lingmin Liao

Let $T : [0, 1]^{d} \to [0, 1]^{d}$ be a piecewise expanding map with an absolutely continuous invariant measure $μ$ . Let ${H_{n}}$ be a sequence of hyperrectangles or hyperboloid…

Counterexamples to the inhomogeneous Duffin-Schaeffer conjecture for a residual set of shifts

P-adic s-energy and Fourier dimension

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

Jarník-type theorem for self-similar sets

Expanding property and statistical laws for p-adic subhyperbolic rational maps

Quantitative recurrence properties for piecewise expanding maps on [0,1]d

$P$ -adic $s$ -energy and Fourier dimension

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

Expanding property and statistical laws for $p$ -adic subhyperbolic rational maps

Quantitative recurrence properties for piecewise expanding maps on $[0, 1]^{d}$