Time averages for continuous functions on distal flows

Bull. Austral. Math. Soc. 58 (1998), 445-452.

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.