A rank one mild mixing system without minimal self joinings

We show that there is a rank <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>1</mml:mn> </mml:math> transformation that is mildly mixing but does not have minimal self-joinings, answering a question of Thouvenot.

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Publication Details

Journal
Annales Henri Lebesgue
Published
2026-03-17
DOI
https://doi.org/10.5802/ahl.262
Primary Topic
Mathematical Dynamics and Fractals
Type
article
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article

A rank one mild mixing system without minimal self joinings

Jon Chaika, D. Robertson
Annales Henri Lebesgue
Mathematical Dynamics and Fractals
article

A rank one mild mixing system without minimal self joinings

Jon Chaika, D. Robertson
article en

Abstract

We show that there is a rank <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>1</mml:mn> </mml:math> transformation that is mildly mixing but does not have minimal self-joinings, answering a question of Thouvenot.

Annales Henri LebesgueVol. 9
University of Manchester (GB), Institute for Advanced Study (US)
Openalex Percentile: Top 17%
Mathematical Dynamics and Fractals
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