Jun Wu

activity

20032021

most citedRecurrence spectrum in smooth dynamical systems

22 citations · 39 across the 7 of their papers we have counts for

collaborators

8 papers

math.NT2021★ 1 cited

Diophantine analysis of the expansions of a fixed point under continuum many bases

Fan Lv, Baowei Wang, Jun Wu

In this paper, we study the Diophantine properties of the orbits of a fixed point in its expansions under continuum many bases. More precisely, let $T_{β}$ be the beta-transformation…

math.NT2021

Mahler's question for intrinsic Diophantine approximation on triadic Cantor set: the divergence theory

Bo Tan, Baowei Wang, Jun Wu

In this paper, we consider the intrinsic Diophantine approximation on the triadic Cantor set $K$ , i.e. approximating the points in $K$ by rational numbers insid…

math.NT2019★ 9 cited

Mass transference principle from rectangles to rectangles in Diophantine approximation

Baowei Wang, Jun Wu

By introducing a ubiquity property for rectangles, we prove the mass transference principle from rectangles to rectangles, i.e., if a sequence of rectangles forms a ubiquity system…

math.NT2013★ 2 cited

Range-Renewal Structure in Continued Fractions

Jun Wu, Jian-Sheng Xie

Let $ω = [a_{1}, a_{2}, \dots]$ be the infinite expansion of continued fraction for an irrational number $ω \in (0, 1)$ ; let $R_{n} (ω)$ (resp. $R_{n, k} (ω)$ , $R_{n, k +} (ω)$ ) be the…

math.DS2013

Diophantine approximation of the orbit of 1 in the dynamical system of bete expansions

Bing Li, Tomas Persson, Baowei Wang +1

We consider the distribution of the orbits of the number 1 under the $β$ -transformations $T_{β}$ as $β$ varies. Mainly, the size of the set of $β > 1$ for which a given point can be we…

math.DS2012★ 5 cited

On the fast Khintchine spectrum in continued fractions

Fan Ai-Hua, Lingmin Liao, Bao-Wei Wang +1

For $x \in [0, 1)$ , let $x = [a_{1} (x), a_{2} (x), ...]$ be its continued fraction expansion with partial quotients $a_{n} (x), n \geq 1$ . Let $ψ : N \to N$ be a functi…