可选圆酉系综特征多项式的自相关

Pub Date : 2023-10-27 DOI:10.1017/s0017089523000332

Brad Rodgers, Harshith Sai Vallabhaneni

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引用次数: 0

摘要

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。

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Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble

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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