Limit directions of a vector cocycle, remarks and examples

Jean-Pierre Conze, Stéphane Le Borgne

We study the set $\mathcal{D}(\Phi )$ of limit directions of a vector cocycle $({\Phi }_n)$ over a dynamical system, i.e., the set of limit values of ${\Phi }_n(x)/\Vert {\Phi }_n(x)\Vert$ along subsequences suc…