Weak convergence in circulant matrices

被引：0
|
作者：
Cureg, E [1 ]
Mukherjea, A [1 ]
机构：
[1] Univ S Florida, Dept Math, Tampa, FL 33620 USA
来源：
JOURNAL OF THEORETICAL PROBABILITY | 2005年 / 18卷 / 04期
关键词：
circulant matrices; convergence in distribution; orthogonal matrices; products of random matrices;
D O I：
10.1007/s10959-005-7542-2
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Necessary and sufficient conditions for convergence in distribution of products of i.i.d. d x d random circulant matrices are established here. The important role played by matrices in SO(d) is pointed out, and the validity of this result is shown to also hold for a class of Toeplitz matrices.
引用
收藏
页码：983 / 1007
页数：25
相关论文
共 50 条
  • [1] Weak Convergence in Circulant Matrices
    E. Cureg
    A. Mukherjea
    [J]. Journal of Theoretical Probability, 2005, 18 : 983 - 1007
  • [2] Poisson convergence of eigenvalues of circulant type matrices
    Arup Bose
    Rajat Subhra Hazra
    Koushik Saha
    [J]. Extremes, 2011, 14 : 365 - 392
  • [3] Poisson convergence of eigenvalues of circulant type matrices
    Bose, Arup
    Hazra, Rajat Subhra
    Saha, Koushik
    [J]. EXTREMES, 2011, 14 (04) : 365 - 392
  • [4] Process convergence of fluctuations of linear eigenvalue statistics of random circulant matrices
    Bose, Arup
    Maurya, Shambhu Nath
    Saha, Koushik
    [J]. RANDOM MATRICES-THEORY AND APPLICATIONS, 2021, 10 (04)
  • [5] On circulant and two-circulant weighing matrices
    Arasu, K. T.
    Kotsireas, I. S.
    Koukouvinos, C.
    Seberry, Jennifer
    [J]. AUSTRALASIAN JOURNAL OF COMBINATORICS, 2010, 48 : 43 - 51
  • [6] GENERALIZED INVERSES OF CIRCULANT AND GENERALIZED CIRCULANT MATRICES
    BELL, CL
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 39 (AUG) : 133 - 142
  • [7] Random circulant matrices
    Glendinning, Richard H.
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 2022, 185 : S761 - S762
  • [8] Joins of circulant matrices
    Doan, Jacqueline
    Minac, Jan
    Muller, Lyle
    Nguyen, Tung T.
    Pasini, Federico W.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 650 : 190 - 209
  • [9] Circulant weighing matrices
    Krishnasamy Thiru Arasu
    Alex J. Gutman
    [J]. Cryptography and Communications, 2010, 2 : 155 - 171
  • [10] On nonsingularity of circulant matrices
    Chen, Zhangchi
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 612 : 162 - 176
12345