On Contraction Properties for Products of Markov Driven Random Matrices

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2008
• Main Author: Guivarc'h, Y.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106519
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Contraction Properties for Products of Markov Driven Random Matrices / Y. Guivarc'h // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 4. — С. 457-489. — Бібліогр.: 39 назв. — англ.

We describe contraction properties on pro jective 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 pr...