Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble
Mathematical Physics
2023-11-23 v2 math.MP
Number Theory
Abstract
We find closed formulas for arbitrarily high mixed moments of characteristic polynomials of the Alternative Circular Unitary Ensemble (ACUE), as well as closed formulas for the averages of ratios of characteristic polynomials in this ensemble. A comparison is made to analogous results for the Circular Unitary Ensemble (CUE). Both moments and ratios are studied via symmetric function theory and a general formula of Borodin-Olshanski-Strahov.
Keywords
Cite
@article{arxiv.2301.00268,
title = {Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble},
author = {Brad Rodgers and Harshith Sai Vallabhaneni},
journal= {arXiv preprint arXiv:2301.00268},
year = {2023}
}
Comments
16 pages. Incorporates referee suggestions