Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 150-02. Ergodicity of triangular billiards with an irrational angle
Manuscript map · lines 5285–5294
OpenAI@2026-10-07#rem:oai-p-150-02
Authors: OpenAI. Family 150.
Title: Ergodicity of triangular billiards with an irrational angle.
Abstract: We prove that the unit-speed billiard flow in every nondegenerate Euclidean triangle with at least one angle irrational relative to π is ergodic for normalized area times uniform angular measure. No genericity or Diophantine condition is required. The flow is considered outside the null set of trajectories that hit a vertex.
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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