Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 154-03. Triple ergodic averages with distinct integer slopes
Manuscript map · lines 5345–5354
OpenAI@2026-10-07#rem:oai-p-154-03
Authors: OpenAI. Family 154.
Title: Triple ergodic averages with distinct integer slopes.
Abstract: For every invertible mixing probability-preserving transformation, triple ergodic averages of bounded measurable functions along any three pairwise distinct nonzero integer slopes converge almost everywhere to the product of their integrals. The slopes may be positive or negative.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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