Jinpeng An

activity

20052022

most citedBadziahin-Pollington-Velani's theorem and Schmidt's game

37 citations · 122 across the 27 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.DS2012★ 1 cited

Remarks on minimal sets and conjectures of Cassels, Swinnerton-Dyer, and Margulis

Jinpeng An, Barak Weiss

We prove that a hypothesis of Cassels, Swinnerton-Dyer, recast by Margulis as statement on the action of the diagonal group $A$ on the space of unimodular lattices, is equivalent t…

math.NT2012★ 23 cited

Two-dimensional badly approximable vectors and Schmidt's game

Jinpeng An

We prove that for any pair $(s, t)$ of nonnegative numbers with $s + t = 1$ , the set of two-dimensional $(s, t)$ -badly approximable vectors is winning for Schmidt's game. As a consequenc…

math.NT2012★ 37 cited

Badziahin-Pollington-Velani's theorem and Schmidt's game

Jinpeng An

We prove that for any $s, t \geq 0$ with $s + t = 1$ and any $θ \in R$ with $in f_{q \in N} q^{\frac{1}{s}} ∥ q θ ∥ > 0$ , the set of $y \in R$ for which $(θ, y)$ is $(s, t)$ -…