A note on pair dependent linear statistics with slowly growing variance
Probability
2021-02-03 v1 Mathematical Physics
math.MP
Abstract
We prove Gaussian fluctuation for pair counting statistics of the form for the Circular Unitary Ensemble (CUE) of random matrices in the case of a slowly growing variance in the limit of large
Cite
@article{arxiv.2004.01345,
title = {A note on pair dependent linear statistics with slowly growing variance},
author = {Ander Aguirre and Alexander Soshnikov},
journal= {arXiv preprint arXiv:2004.01345},
year = {2021}
}