Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble

Autor:	Rodgers, Brad, Vallabhaneni, Harshith Sai
Rok vydání:	2022
Předmět:	Mathematical Physics Mathematics - Number Theory
Druh dokumentu:	Working Paper
DOI:	10.1017/S0017089523000332
Popis:	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. Comment: 16 pages. Incorporates referee suggestions
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.00268 Zobrazit plný text záznamu View this record from Arxiv