A super-class walk on upper-triangular matrices

被引:36
|
作者
Arias-Castro, E [1 ]
Diaconis, P
Stanley, R
机构
[1] Stanford Univ, Dept Stat, Stanford, CA 94305 USA
[2] Stanford Univ, Dept Math, Stanford, CA 94305 USA
[3] MIT, Dept Math, Cambridge, MA 02139 USA
关键词
D O I
10.1016/j.jalgebra.2004.04.005
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be the group of n x n upper-triangular matrices with elements in a finite field and ones on the diagonal. This paper applies the character theory of Andre, Carter, and Yan to analyze a natural random walk based on adding or subtracting a random row from the row above. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:739 / 765
页数:27
相关论文
共 50 条