Jean-Pierre Conze
Title: Asymptotic directions of a vectorial cocycle

Abstract: Let Φ_n(x) = ∑_k=0^n-1 Φ(τ^kx) be a cocycle generated by a dynamical system (X, μ, τ) and a measurable function Φ from X to R^d. We consider the notion of set of "asymptotic directions" and set of essential asymptotic directions for the cocycle (Φ_n). We try to determine these sets in some situations.