论文标题
有限概率的换向器，我
Commutators in finite free probability, I
论文作者
论文摘要
本文描述了在Marcus，Spielman和Srivastava发起的有限自由概率理论的背景下，随机旋转矩阵的换向器的预期特征多项式。关键的技术特征是使用Weingarten演算将随机矩阵问题转化为组合表示理论之一，然后是Goulden-Jackson Immanant公式的某些应用和置换模块的经典理论。
This paper describes the expected characteristic polynomial of the commutator of randomly rotated matrices, in the context of the finite free probability theory initiated by Marcus, Spielman, and Srivastava. The key technical features are the use of Weingarten calculus to translate the random matrix problem into one of combinatorial representation theory, followed by some applications of the Goulden-Jackson immanant formula and the classical theory of permutation modules.
