On the class of systems which are disjoint from every ergodic system

2024/05/01 by Eli Glasner, B. P. Weiss, Glasner, Eli +1
Computer Science · Engineering · #37A05 #37A15 #37A25 #Advanced Algebra and Logic #Dynamical Systems (math.DS) #FOS: Mathematics #Petri Nets in System Modeling #Scheduling and Optimization Algorithms

paper · pdf · doi:10.48550/arxiv.2405.00463

openalex publication_date 2024/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we give a fairly direct proof of a recent theorem of Gorska, Lemanczyk and de la Rue which characterises the class of measure preserving transformations that are disjoint from every ergodic measure preserving transformation. Our proof works just as well for any countable acting group.

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