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From: MLACEY@IUBACS.BITNET (MICHAEL LACEY)
Newsgroups: comp.theory.dynamic-sys
Subject: ALMOST PERIODIC FUNCTIONS
Message-ID: <9008171536.AA13133@jade.berkeley.edu>
Date: 17 Aug 90 15:42:00 GMT
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Reply-To: MICHAEL LACEY <MLACEY%IUBACS.BITNET@jade.berkeley.edu>
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     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