POLYGONAL BILLIARDS WITH ONE SIDED SCATTERING

Alexandra Skripchenko (1, 2) , Serge Troubetzkoy (3, 4, 5)

1 Laboratory of Geometric Methods in Mathematical Physics
2 IMJ - Institut de Mathématiques de Jussieu
3 IML - Institut de mathématiques de Luminy
4 CPT - Centre de Physique Théorique - UMR 6207
5 CPT - Centre de Physique Théorique - UMR 7332

We study polygonal billiards with one-sided vertical mirror scattered on a square billiard table. We associate trajectories of these kinds of billiards with double rotations and study orbit behavior and questions of complexity.

Domaines: Systèmes dynamiques [math.DS]

Alexandra Skripchenko, Serge Troubetzkoy. POLYGONAL BILLIARDS WITH ONE SIDED SCATTERING. 2013. ⟨hal-00835455v1⟩