Joining primeness and disjointness from infinitely divisible systems

Lemańczyk, Mariusz; Parreau, François; Roy, Emmanuel

doi:10.1090/S0002-9939-2010-10457-4

Joining primeness and disjointness from infinitely divisible systems
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by Mariusz Lemańczyk, François Parreau and Emmanuel Roy PDF

Proc. Amer. Math. Soc. 139 (2011), 185-199 Request permission

Abstract:

We show that ergodic dynamical systems generated by infinitely divisible stationary processes are disjoint in the sense of Furstenberg from distally simple systems and systems whose maximal spectral type is singular with respect to the convolution of any two continuous measures.

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