Joining primeness and disjointness from infinitely divisible systems - Archive ouverte HAL
Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2011

Joining primeness and disjointness from infinitely divisible systems

Résumé

We show that ergodic dynamical systems generated by infinitely divisible stationary processes are disjoint in the sense of Furstenberg with 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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Dates et versions

hal-00428519 , version 1 (28-10-2009)

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Mariusz Lemanczyk, François Parreau, Emmanuel Roy. Joining primeness and disjointness from infinitely divisible systems. Proceedings of the American Mathematical Society, 2011, 139 (1), pp.185-199. ⟨hal-00428519⟩
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