Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 144-01. A smooth three-torus diffeomorphism with simple Lebesgue spectrum
Manuscript map · lines 5195–5204
OpenAI@2026-10-07#rem:oai-p-144-01
Authors: OpenAI. Family 144.
Title: A smooth three-torus diffeomorphism with simple Lebesgue spectrum.
Abstract: We solve the probability-preserving form of Banach's simple Lebesgue-spectrum problem in smooth dynamics. We construct a C∞ diffeomorphism of the three-torus that preserves standard volume and whose Koopman operator has simple Lebesgue spectrum on the entire mean-zero L2 space.
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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