Joining primeness and disjointness from infinitely divisible systems

Details Joining primeness and disjointness from infinitely divisible systems Joining primeness and disjointness from infinitely divisible systems

2009-10-28

arxiv.org/abs/0910.5492v1

Mathematics

Dynamical Systems

15 pages

Scientific paper

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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