APPROXIMATION BY PERIODIC ORBITS

We proved that for C1-generic diffeomorphisms, every ergodic measure ¹ there is a sequence °n of periodic orbits such that ergodic measures are approximation of periodic measures, in parallel we proved that periodic orbits °n converge to Supp(¹),the Lyapunov vectors L(¹°n) converge to the Lyapunov vector L(¹).