Ambrose-Kakutani Theorem

For every ergodic flow on a nonatomic probability space, there is a measurable set intersecting almost every orbit in a discrete set.

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Weisstein, Eric W. "Ambrose-Kakutani Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Ambrose-KakutaniTheorem.html

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