analysis / Ergodic Theory, Orbit Equivalence

Belinskaya's Theorem for Measure-Preserving Flows

Two free ergodic measure-preserving flows whose $\mathrm{L}^1$ full groups are isomorphic as abstract groups are conjugate up to a scalar time change. This proves the flow analogue of Belinskaya's theorem, answering a question posed by François Le Maître and the author.

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analysisJul 16, 2026Significance 20/100Registry: unreviewed

Belinskaya's Theorem for Measure-Preserving Flows

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Two free ergodic measure-preserving flows whose $\mathrm{L}^1$ full groups are isomorphic as abstract groups are conjugate up to a scalar time change. This proves the flow analogue of Belinskaya's theorem, answering a question posed by François Le Maître and the author.

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Two free ergodic measure-preserving flows whose $\mathrm{L}^1$ full groups are isomorphic as abstract groups are conjugate up to a scalar time change. This proves the flow analogue of Belinskaya's theorem, answering a question posed by François Le Maître and the author.

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Belinskaya's Theorem for Measure-Preserving Flows — Mathematical Frontier Network