On Contraction Properties for Products of Markov Driven Random Matrices

Автор(и)

  • Y. Guivarac’‎h IRMAR CNRS Rennes I, Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex, France

Ключові слова:

Lyapunov exponent, Markov chain, martingale, spectral gap, proximal

Анотація

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.

Mathematics Subject Classification: 37XX, 22D40, 60BXX, 82B44.

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Як цитувати

(1)
Guivarac’‎h, Y. On Contraction Properties for Products of Markov Driven Random Matrices. Журн. мат. фіз. анал. геом. 2008, 4, 457-489.

Номер

Том 4 № 4 (2008)

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