Gaussian Fluctuation for Smoothed Local Correlations in CUE
Alexander Soshnikov
所有作者
Alexander Soshnikov
文献摘要
Motivated by the Rudnick-Sarnak theorem we study limiting distribution of smoothed local correlations of the form j1,j2,…,jn∑f(N\*(θj2−θj1),N\*(θj3−θj1),…,N\*(θjn−θj1)) for the Circular United Ensemble of random matrices for sufficiently smooth test functions.