Geodesic
On contraction properties for products of Markov driven random matrices
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008), pp. 457-489.

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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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Y. Guivarc'h. On contraction properties for products of Markov driven random matrices. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008), pp. 457-489. http://geodesic.mathdoc.fr/item/JMAG_2008_4_a1/

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