Zero Krengel Entropy does not kill Poisson Entropy - Mathematics > ProbabilityReportar como inadecuado




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Abstract: We prove that the notions of Krengel entropy and Poisson entropy forinfinite-measure-preserving transformations do not always coincide: Weconstruct a conservative infinite-measure-preserving transformation with zeroKrengel entropy the induced transformation on a set of measure 1 is the VonNeumann-Kakutani odometer, but whose associated Poisson suspension haspositive entropy.



Autor: Élise Janvresse LMRS, Thierry De La Rue LMRS

Fuente: https://arxiv.org/







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