On the existence of cocycle-invariant Borel probability measures

DOI10.1017/etds.2019.28zbMath1485.28017arXiv2002.09294OpenAlexW3008002863WikidataQ128063040 ScholiaQ128063040MaRDI QIDQ4970746

Benjamin D. Miller

Publication date: 7 October 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09294

zbMATH Keywords

invariant measurecompressioncocycle

Mathematics Subject Classification ID

Descriptive set theory (03E15) Vector-valued set functions, measures and integrals (28B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (1)

Coboundaries of commuting Borel automorphisms

Cites Work

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• On the existence of a finite invariant measure
• Borel chromatic numbers
• Topics in orbit equivalence
• The existence of measures of a given cocycle, I: atomless, ergodic σ-finite measures
• The existence of measures of a given cocycle, II: probability measures
• Measurable dynamics
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• The Structure of Hyperfinite Borel Equivalence Relations
• Theory of Measure and Invariant Integrals

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