布朗谱测度在自由概率中的几个实例计算
Computation of some examples of Brown's spectral measure in free probability
摘要：
本文利用自由概率方法计算了有限vonNeumann代数中某些非厄米算子的谱和Brown测度。例子包括u_n+u_oo，其中u_n和u_oo分别是自由积群Z_n*Z中Z_n和Z的生成元，或S_a+iS_b形式的椭圆元素，其中S_a和S_b是方差为a和b的自由半圆元素。我们给出了一些图形证据的连接与随机矩阵的谱。
英文摘要：
We use free probability techniques for computing spectra and Brown measures of some non hermitian operators in finite von Neumann algebras. Examples include u_n+u_oo where u_n and u_oo are the generators of Z_n and Z respectively, in the free product group Z_n*Z, or elliptic elements, of the form S_a+iS_b where S_a and S_b are free semi-circular elements of variance a and b. We give some pictorial evidence for connections with spectra of random matrices.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
