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arXiv · 0910.2566

Zero Krengel Entropy does not kill Poisson Entropy

Élise Janvresse·Thierry De La Rue
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Abstract

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.

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Élise Janvresse, Thierry De La Rue. 2009-10-14. Zero Krengel Entropy does not kill Poisson Entropy. https://doi.org/10.1214/10-aihp393

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