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math.DS2026
Horns in Billiards
David de Frutos Ostrander, Boris Hasselblatt, Mark Levi
We show that, like cusps, horns in billiards expel every trajectory after finitely many collisions. We further produce an adiabatic invariant.
math.DS2025
Ergodicity of asymmetric lemon Billiards
Wentao Fan, Boris Hasselblatt
We show ergodicity of (asymmetric) lemon billiards, billiard tables that are the intersection of two circles of which one contains the centers of both. These do not satisfy the Woj…