On Contraction Properties for Products of Markov Driven Random Matrices

被引：0
作者：
Guivarc'h, Y. [1 ]
机构：
[1] Univ Rennes 1, IRMAR, CNRS Rennes 1, F-35042 Rennes, France
来源：
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2008年 / 4卷 / 04期
关键词：
Lyapunov exponent; Markov chain; martingale; spectral gap; proximal;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe contraction properties on projective spaces for products of matrices governed by Markov chains which satisfy strong mixing conditions. Assuming that the subgroup generated by the corresponding matrices is "large" we show in particular that the top Lyapunov exponent of their product has multiplicity one and we give an exposition of the related results.
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页码：457 / 489
页数：33
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