Conditioned limit theorems for products of random matrices

Ion Grama, Emile Le Page, Marc Peigné

Consider the product $G_n=g_n...g_1$ of the random matrices $g_1,...,g_n$ in $GL(d,\mathbb{R})$ and the random process $G_{n}v=g_n...g_{1}v$ in ${\mathbb{R}}^d$ st…