We extend our results on the fluctuation of the pair counting statistic of the Circular Beta Ensemble for arbitrary in the mesoscopic regime . In addition, we obtain similar results for bipartite statistics.
Research has been partially supported by the Simons Foundation Collaboration Grant for Mathematicians #312391.
"Central limit theorem for pair dependent statistics in mesoscopic regime." Electron. Commun. Probab. 27 1 - 10, 2022. https://doi.org/10.1214/22-ECP481