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 
Hits: 8656
Download times: 2296
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
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.