2000 character limit reached
Gaussian Fluctuation for Smoothed Local Correlations in CUE (2207.00674v1)
Published 1 Jul 2022 in math.PR, math-ph, and math.MP
Abstract: Motivated by the Rudnick-Sarnak theorem we study limiting distribution of smoothed local correlations of the form $$ \sum_{j_1, j_2, \ldots, j_n} f(N*(\theta_{j_2}-\theta_{j_1}), N*(\theta_{j_3}-\theta_{j_1}), \ldots, N*(\theta_{j_n}-\theta_{j_1}))$$ for the Circular United Ensemble of random matrices for sufficiently smooth test functions.
Sponsor
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.