Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 146-01. Positive Metric Entropy for the Standard Map at Large Parameters
Manuscript map · lines 5215–5224
OpenAI@2026-10-07#rem:oai-p-146-01
Authors: OpenAI. Family 146.
Title: Positive Metric Entropy for the Standard Map at Large Parameters.
Abstract: We prove that the standard sine map of the two-dimensional torus has positive metric entropy with respect to normalized area for every sufficiently large positive parameter. This gives a full parameter tail, and hence answers Sinai's positive-parameter-measure conjecture affirmatively.
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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