Operator-Valued Semicircular Distribution and Its Asymptotically Free Matrix Models
Received:October 16, 2006  Revised:October 28, 2007
Key Words: operator-valued semicircular distribution   operator-valued random matrix   semi-independence.  
Fund Project:the National Natural Science Foundation of China (No.10771101).
Author NameAffiliation
MENG Bin Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Jiangsu 210016, China
School of Mathematical Science, Peking University, Beijing 100871, China 
GUO Mao Zheng School of Mathematical Science, Peking University, Beijing 100871, China 
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Abstract:
      The moments of operator-valued semicircular distribution are calculated and a new relation between random variables which is called semi-independence is introduced. The asymptotically free matrix models of operator-valued semicircular distribution are given and a method is found to determine the freeness of some semicircular variables.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.04.003
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