Representing ergodic flows as flows built under functions with finite range

Fellgett, Robin

doi:10.1090/S0002-9939-1979-0521881-6

Representing ergodic flows as flows built under functions with finite range
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by Robin Fellgett

Proc. Amer. Math. Soc. 74 (1979), 105-108

DOI: https://doi.org/10.1090/S0002-9939-1979-0521881-6

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Abstract:

It is shown, using a result of Rudolph, that any cross-section of an ergodic flow whose return-time function is bounded and bounded away from zero is isomorphic to a cross-section whose return-time function has finite range. A weaker result holds if the boundedness conditions are removed.

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