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Let (gn) n 1 be a sequence of independent and identically distributed random elements of the general linear group GL d (R), with law ยต. Consider the random walk Gn := gn. .. g1. Denote respectively by Gn and ฯ(Gn) the op...
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Let $(g_n)$ be a sequence of independent and identically distributed random real $d \times d$ matrices with law $\mu$. Consider the random walk $G_n := g_n... g_1$ on the general linear group $GL_d (R)$ and the Markov ch...
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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 $X_n^x = G_n x/|G_n x|$, $n\geq 1$, where $|\cdot|$ is an...