Representing Ergodic Flows as Flows Built under Functions with Finite Range
Representing Ergodic Flows as Flows Built under Functions with Finite Range
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.