Exponential growth of product of matrices in
Exponential growth of product of matrices in
复制标题
矩阵乘积的指数增长
DOI：
10.1088/0951-7715/21/2/007
复制
发表时间：
2008
期刊：
影响因子：
1.7
通讯作者：
R. Krikorian
中科院分区：
文献类型：
--
作者：
B. Fayad;R. Krikorian
本文研究了两个矩阵乘积的指数增长性。我们证明了，假设A是一个固定的双曲矩阵，对于几乎每一个勒贝格矩阵B，长度为n的乘积涉及少于n个α，0个⩽α<；1/2个矩阵B，对于某个γ>；1，从下到下一致有界于γn。
In this paper we investigate the exponential growth of products of two matrices . We prove, assuming A is a fixed hyperbolic matrix, that for Lebesgue almost every B, products of length n involving less than nα, 0 ⩽ α < 1/2 matrices B are uniformly bounded from below by γn for some γ > 1.