Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2023-10-27 DOI:10.1017/s0017089523000332

Brad Rodgers, Harshith Sai Vallabhaneni

引用次数: 0

Abstract

Abstract We find closed formulas for arbitrarily high mixed moments of characteristic polynomials of the Alternative Circular Unitary Ensemble, 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. Both moments and ratios are studied via symmetric function theory and a general formula of Borodin-Olshanski-Strahov.

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可选圆酉系综特征多项式的自相关

得到了可选圆酉系综中特征多项式任意高混合矩的封闭公式，以及该系综中特征多项式比值平均值的封闭公式。并与圆酉系综的类似结果作了比较。利用对称函数理论和Borodin-Olshanski-Strahov一般公式研究了矩和比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.