# Products of Random Matrices

@article{Furstenberg1960ProductsOR,
title={Products of Random Matrices},
author={Harry Furstenberg and Harry Kesten},
journal={Annals of Mathematical Statistics},
year={1960},
volume={31},
pages={457-469}
}
• Published 1 June 1960
• Mathematics
• Annals of Mathematical Statistics
638 Citations
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Let $(g_{n})_{n\geq 1}$ be a sequence of independent and identically distributed (i.i.d.) $d\times d$creal random matrices. Set $G_n = g_n g_{n-1} \ldots g_1$ and $X_n^x = G_n x/|G_n x|$, $n\geq 1$,