Groups Geometry and Dynamics· 2026Q1
On the class of systems which are disjoint from every ergodic system
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- Q1SCImago
- 2026year
Short summary
A direct proof is provided for a theorem characterizing measure-preserving transformations disjoint from all ergodic ones, applicable to any countable acting group.
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Key points
- A direct proof is given for a theorem characterizing measure-preserving transformations disjoint from all ergodic transformations.
- The theorem's characterization is applicable to any countable acting group.
- The proof simplifies the understanding of systems disjoint from every ergodic system.
AI-generated from the title and abstract; the full text is not read.
Abstract
In this note, we give a fairly direct proof of a recent theorem of Górska, Lemańczyk 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.
The authors' abstract, as published at the source. Groups Geometry and Dynamics, 2026 · DOI ↗
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Field: Industrial and Manufacturing Engineering
Industrial and Manufacturing EngineeringEngineering