论文标题
2D库仑气体线性统计的本地CLT
A local CLT for linear statistics of 2D Coulomb gases
论文作者
论文摘要
我们证明了在任何正温度下的二维库仑气体的规范吉布斯测量量的二维库仑气体测量的局部中央限制定理。证明依赖于现有的全球中央限制定理以及此类波动的特征功能的新衰减估计。
We prove a local central limit theorem for fluctuations of linear statistics of smooth enough test functions under the canonical Gibbs measure of two-dimensional Coulomb gases at any positive temperature. The proof relies on the existing global central limit theorem and a new decay estimate for the characteristic function of such fluctuations.
