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

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arxiv 2405.00463 v1 pith:6JKFUQRD submitted 2024-05-01 math.DS

Eli Glasner , Benjamin Weiss This is my paper · ORCID
classification math.DS
keywords classdisjointergodiceverymeasurepreservingproofacting
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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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  1. On systems disjoint from all minimal systems

    math.DS 2025-04 conditional novelty 7.0 of 10

    A topological system is disjoint from every minimal system exactly when it has countably many dense minimal subsets each disjoint from it, with analogous residual-pair and distal characterizations.

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