A natural extension of a nonsingular endomorphism of a measure space

DOI10.1216/rmjm/1181071987zbMath0883.28016OpenAlexW1993698487MaRDI QIDQ1360196

Catherine Bénéteau

Publication date: 22 March 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL26-4/CONT26-4/CONT26-4.html

zbMATH Keywords

natural extensionfactor spacesexhaustive partitions

Mathematics Subject Classification ID

Measure-theoretic ergodic theory (28D99)

Cites Work

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• On \(\mu\)-recurrent nonsingular endomorphisms
• Invertible liftings of measurable transformations
• A bi-measurable transformation generated by a non-measure preserving transformation
• The subadditive ergodic theorem and recurrence properties of Markovian transformations
• Examples of Natural Extensions of Nonsingular Endomorphisms
• Exact endomorphisms of a Lebesgue space