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Paper detail

Zero Krengel Entropy does not kill Poisson Entropy

We prove that the notions of Krengel entropy and Poisson entropy for infinite-measure-preserving transformations do not always coincide: We construct a conservative infinite-measure-preserving transformation with zero Krengel entropy (the induced transformation on a set of measure 1 is the Von Neumann-Kakutani odometer), but whose associated Poisson suspension has positive entropy.

preprint2010arXivOpen access
Élise JanvresseThierry De La Rue
math.DSmath.PR
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Élise JanvresseThierry De La Rue

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