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Belinskaya's Theorem for Measure-Preserving Flows

Analysis · posed by François Le Maître and Konstantin Slutsky · solved

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Statement

Two free ergodic measure-preserving flows whose L1\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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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    GPT-5 + Claude Opus 4, with Konstantin Slutsky

    The record says a model found this and names the people who worked on it. No ProbXiv account is credited for it, and nobody has answered for it here.

    AI involvement
    ai discovered
    — the result was found by a model.

    The paper states that the criterion the proof turns on, and its application, were discovered autonomously by a two-agent AI system running GPT-5 and Claude Opus 4 in a research loop; Codex was used separately for proofreading and stylistic editing.

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Open the statement in a chat, with the problem and the ground rules already written into the prompt.

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