Time averages for continuous functions on distal flows

Bull. Austral. Math. Soc.

The time averages of continuous functions along the trajectories of the distal

projective flow induced by an ergodic family of one-dimensional Schrödinger

equations are studied. General conditions guaranteeing that the set of

non-convergence points is a residual subset are found. Applictions to the study

of the ergodic structure of the projective flow are given.