Joining primeness and disjointness from infinitely divisible systems
Dynamical Systems
2009-10-30 v1
Abstract
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.
Cite
@article{arxiv.0910.5492,
title = {Joining primeness and disjointness from infinitely divisible systems},
author = {Mariusz Lemanczyk and François Parreau and Emmanuel Roy},
journal= {arXiv preprint arXiv:0910.5492},
year = {2009}
}
Comments
15 pages