论文标题
相对于旋转间隔的定向差异的下限
Lower bounds for the directional discrepancy with respect to an interval of rotations
论文作者
论文摘要
We show that the lower bound for the optimal directional discrepancy with respect to the class of rectangles in $\mathbb{R}^2$ rotated in a restricted interval of directions $[-θ, θ]$ with $θ< \fracπ{4}$ is of the order at least $N^{1/5}$ with a constant depending on $θ$.
We show that the lower bound for the optimal directional discrepancy with respect to the class of rectangles in $\mathbb{R}^2$ rotated in a restricted interval of directions $[-θ, θ]$ with $θ< \fracπ{4}$ is of the order at least $N^{1/5}$ with a constant depending on $θ$.
