算子值酉随机矩阵及其渐近自由性
Operator-Valued Unitary Random Matrices and Asymptotic Freeness
摘要
该文在算子值非交换概率空间上引入半标准酉随机矩阵的概念,证明了它是算子值Haar酉元的矩阵模型,并给出了半标准酉随机矩阵的渐近自由判定定理.
In this paper a notion of semi-standard unitary random matrix is introduced in operator-valued noncommutative probability space and the semi-standard unitary random matrices to be the asymptotic free matrix models for operator-valued Haar unitary elements is proved.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2007年第5期915-922,共8页
Acta Mathematica Scientia
基金
南航创新基金(1008-905711)资助
关键词
算子值非交换概率空间
半标准算子值酉随机矩阵
渐近自由
Operator-valued noncommutative probability space
Semi-standard unitary ran- dom matrix
Asymptotic freeness.
参考文献5
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