论文标题
对依赖性线性统计的注释,差异缓慢
A note on pair dependent linear statistics with slowly growing variance
论文作者
论文摘要
我们证明了表格$ \ sum_ {1 \ leq i \ neq j \ leq n} f(θ_i-θ_j)$的表格计数统计数据的高斯波动,用于循环单位矩阵的圆形单一矩阵(cue)$ n n o $ n的情况下,随机矩阵的圆形矩阵(CUE)。
We prove Gaussian fluctuation for pair counting statistics of the form $ \sum_{1\leq i\neq j\leq N} f(θ_i-θ_j)$ for the Circular Unitary Ensemble (CUE) of random matrices in the case of a slowly growing variance in the limit of large $N.$