Open Access
Translator Disclaimer
2022 Central limit theorem for CβE pair dependent statistics in mesoscopic regime
Ander Aguirre, Alexander Soshnikov
Author Affiliations +
Electron. Commun. Probab. 27: 1-10 (2022). DOI: 10.1214/22-ECP481

Abstract

We extend our results on the fluctuation of the pair counting statistic of the Circular Beta Ensemble ijf(LN(θiθj)) for arbitrary β>0 in the mesoscopic regime LN=O(N23ϵ). In addition, we obtain similar results for bipartite statistics.

Funding Statement

Research has been partially supported by the Simons Foundation Collaboration Grant for Mathematicians #312391.

Citation

Download Citation

Ander Aguirre. Alexander Soshnikov. "Central limit theorem for CβE pair dependent statistics in mesoscopic regime." Electron. Commun. Probab. 27 1 - 10, 2022. https://doi.org/10.1214/22-ECP481

Information

Received: 21 October 2021; Accepted: 27 July 2022; Published: 2022
First available in Project Euclid: 22 August 2022

Digital Object Identifier: 10.1214/22-ECP481

Subjects:
Primary: 60B20 , 60F05

Keywords: central limit theorem , circular beta ensemble , pair counting statistic

JOURNAL ARTICLE
10 PAGES


SHARE
Back to Top