[comp.theory.dynamic-sys] ALMOST PERIODIC FUNCTIONS

MLACEY@IUBACS.BITNET (MICHAEL LACEY) (08/17/90)

     A physicist asked me a question concerning ergodic theory for almost
periodic functions.  From a bounded a.p. function   y=f(t),  can one construct
a probability measure on the y-axis where the measure of (y, y+dy) is the
limiting fraction of times t that f(t) is in (y, y+dy) ?

Michael Lacey
Indiana University