Hausdorff dimension of weighted singular vectors

Lingmin Liao, Ronggang Shi, Omri N. Solan +1

Let $w=(w_1,w_2)$ be a pair of positive real numbers with $w_1+w_2=1$ and $w_1\ge w_2$. We show that the set of $w$-weighted singular vectors in ${\mathbb{R}}^2$ has Hausdorff dimens…