期刊文献+

Operator-Valued Semicircular Distribution and Its Asymptotically Free Matrix Models

算子值半圆分布及其渐近自由矩阵模型(英文)
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摘要 The moments of operator-valued semicircular distribution are calculated and a new relation between random variables which is called semi-independence is introduced. The asymp- totically free matrix models of operator-valued semicircular distribution are given and a method is found to determine the freeness of some semicircular variables. The moments of operator-valued semicircular distribution are calculated and a new relation between random variables which is called semi-independence is introduced. The asymp- totically free matrix models of operator-valued semicircular distribution are given and a method is found to determine the freeness of some semicircular variables.
作者 孟彬 郭懋正
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2008年第4期759-768,共10页 数学研究与评论(英文版)
基金 the National Natural Science Foundation of China (No.10771101)
关键词 operator-valued semicircular distribution operator-valued random matrix semi- independence. operator-valued semicircular distribution operator-valued random matrix semi- independence.
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参考文献4

  • 1VOICULESCU D,DYKEMA K J,NICA A.Free Random Variables[]..1992
  • 2HIAI F,PETZ D.The Semicircle Law, Free Random Variables and Entropy[]..2000
  • 3Voiculescu,D.Operations on certain non-commutative operator-valued random variables[].Astérisque.1995
  • 4SPEICHER R.Combinatorial theory of the free product with amalgamation and operator-valued free probability theory[].Memoirs of the American Mathematical Society.1998

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