报告人：石荣刚副教授 厦门大学

报告题目: Hausdorff dimension of weighted singular vectors in $\mathbb R^2$

报告摘要：We talk about the calculation of the Hausdorff dimension of the set of  weighted singular vectors in $\mathbb R^2$. More precisely,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 dimension $2- \frac{1}{1+w_1}$. This extends the previous work of Yitwah Cheung on the Hausdorff dimension of the usual  (unweighted) singular vectors in $\R^2$.

报告时间：2017年7月11日(星期二)上午9：30-10：15

报告地点: 科技楼南楼602室