Yu-Feng Wu

most citedInhomogeneous and simultaneous Diophantine approximation in beta dynamical systems

6 citations · 8 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2026

Metric results for dyadic approximation on the middle-third Cantor set

Xin-Rong Dai, Bing Li, Bo Wang +1

Let $C$ be the middle-third Cantor set and $μ$ be the Cantor-Lebesgue measure on $C$ . A conjecture of Velani states that $μ (W_{2} (τ)) = 0$ if $τ > 1$ and $μ (W_{2} (τ)) = 1$ if $0 < τ \leq 1$ , wh…

math.CA2022

Maximal run-length function with constraints: a generalization of the Erdős-Rényi limit theorem and the exceptional sets

Yu-Feng Wu

Let $A = {A_{i}}_{i = 1}^{\infty}$ be a sequence of sets with each $A_{i}$ being a non-empty collection of $0$ - $1$ sequences of length $i$ . For $x \in [0, 1)$ , the maximal run-len…

math.GN2022

On arithmetic sums of connected sets in $R^{2}$

Yu-Feng Wu

We prove that for two connected sets $E, F \subset R^{2}$ with cardinalities greater than $1$ , if one of $E$ and $F$ is compact and not a line segment, then the arithmetic sum…

math.NT2022★ 1 cited

Rational numbers in $\times b$ -invariant sets

Bing Li, Ruofan Li, Yufeng Wu

Let $b \geq 2$ be an integer and $S$ be a finite non-empty set of primes not containing divisors of $b$ . For any non-dense set $A \subset [0, 1)$ such that $A \cap Q$ is in…

math.DS2022★ 6 cited

Inhomogeneous and simultaneous Diophantine approximation in beta dynamical systems

Yu-Feng Wu

In this paper, we investigate inhomogeneous and simultaneous Diophantine approximation in beta dynamical systems. For $β > 1$ let $T_{β}$ be the $β$ -transformation on $[0, 1]$ . We deter…

math.CA2022★ 1 cited

A note on Hausdorff measures of self-similar sets in $R^{d}$

Cai-Yun Ma, Yu-Feng Wu

We prove that for all $s \in (0, d)$ and $c \in (0, 1)$ there exists a self-similar set $E \subset R^{d}$ with Hausdorff dimension $s$ such that $H^{s} (E) = c ∣ E ∣^{s}$ . This an…

math.CA2022

Matrix representations for some self-similar measures on $R^{d}$

Yu-Feng Wu

We establish matrix representations for self-similar measures on $R^{d}$ generated by equicontractive IFSs satisfying the finite type condition. As an application, we prove…

Metric results for dyadic approximation on the middle-third Cantor set

Maximal run-length function with constraints: a generalization of the Erdős-Rényi limit theorem and the exceptional sets

On arithmetic sums of connected sets in R2

Rational numbers in ×b-invariant sets

Inhomogeneous and simultaneous Diophantine approximation in beta dynamical systems

A note on Hausdorff measures of self-similar sets in Rd

Matrix representations for some self-similar measures on Rd

On arithmetic sums of connected sets in $R^{2}$

Rational numbers in $\times b$ -invariant sets

A note on Hausdorff measures of self-similar sets in $R^{d}$

Matrix representations for some self-similar measures on $R^{d}$