{"id":"openai-math/Weak-mixing-of-triangular-billiards-with-an-irrational-angle","pdf":"https://github.com/openai/math/blob/main/preprints/Weak-mixing-of-triangular-billiards-with-an-irrational-angle-October-5-2026/weak-mixing-triangular-billiards.pdf","url":"https://github.com/openai/math/tree/main/preprints/Weak-mixing-of-triangular-billiards-with-an-irrational-angle-October-5-2026","tags":["ergodic-theory","billiards","dynamical-systems"],"score":0,"title":"Weak mixing of triangular billiards with an irrational angle","domain":"Dynamical systems and ergodic theory","family":"150","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.DS","summary":"We prove that the unit-speed billiard flow in every nondegenerate Euclidean triangle with at least one angle irrational relative to π is weakly mixing for normalized Liouville measure. Equivalently, the product of the flow with itself is ergodic.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Weak mixing of triangular billiards with an irrational angle"}