Nearly finite Chacon transformation

Nearly finite Chacon transformation

We construct an infinite-measure preserving version of Chacon transformation, and prove that it has a property similar to Minimal Self-Joinings in finite measure: its Cartesian powers have as few invariant Radon measures as possible.

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Bibliographische Detailangaben
Veröffentlicht in:Annales Henri Lebesgue 2019, Vol.2, p.369-414
Hauptverfasser: Janvresse, Élise, Roy, Emmanuel, de la Rue, Thierry
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical Systems
Mathematics
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Beschreibung
Zusammenfassung:We construct an infinite-measure preserving version of Chacon transformation, and prove that it has a property similar to Minimal Self-Joinings in finite measure: its Cartesian powers have as few invariant Radon measures as possible.
ISSN:2644-9463
2644-9463
DOI:10.5802/ahl.21