A limit theorem for products of free unitary operators

被引:0
作者
Vladislav Kargin
机构
[1] New York University,Courant Institute of Mathematical Sciences
来源
Probability Theory and Related Fields | 2008年 / 141卷
关键词
Free probability; Free multiplicative convolution; Unitary operators; Limit theorem; 46L53; 46L54; 60F05;
D O I
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中图分类号
学科分类号
摘要
This paper establishes necessary and sufficient conditions for the sequence of products of freely independent unitary operators to converge in distribution to the uniform law on the unit circle.
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页码:603 / 623
页数:20
相关论文
共 4 条
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[2]  
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[3]  
Voiculescu D.(1987)Multiplication of certain non-commuting random variables J. Oper. Theor. 18 223-235
[4]  
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