Joining primeness and disjointness from infinitely divisible systems

2009/10/28 by Mariusz Lemańczyk, Mariusz Lemanczyk, François Parreau +4
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #37A05 (Primary) #37A10 (Secondary) #37A30 #37A50 #Complex Systems and Time Series Analysis #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:37A05 #msc:37A10 #msc:37A30 #msc:37A50

paper · pdf · doi:10.48550/arxiv.0910.5492

15 pages

arxiv created 2009/10/28 · openalex publication_date 2009/10/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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