Permutation model for semi-circular systems and quantum random walks

Permutation model for semi-circular systems and quantum random walks
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半循环系统和量子随机游走的排列模型

DOI:
10.2140/pjm.1995.171.373
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发表时间:
1995
影响因子:
0.6
通讯作者:
P. Biane
P. Biane
中科院分区:
数学4区
文献类型:
--
作者:
P. Biane

文献摘要

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给出了一个基于置换群的非交换随机变量半圆族的逼近模型。将该模型与Vocerescu的随机矩阵模型进行了比较,并给出了0-1项显式矩阵对这两种近似的一种常见改进。
We give an approximation model for semi-circular families of non-commutative random variables, which is based on the permutation group. This model is compared to the random matrix model of Voiculescu, and a common refinement of the two approximations by explicit matrices with 0 -1 entries is exhibited.