On Furstenberg's Theorem with an additional parameter
Victor Kleptsyn (Université de Rennes)

We study the generitcity of nonvanishing Lyapunov exponents for one parameter families of random products of matrices in SL(2;R). We show that under special assumptions, there exists almost surely a small set of parameters for which the liminf appearing in the denition of Lyapunov exponents is zero. This is a joint work with A. Gorodetsky.