Billiard complexity in rational polyhedra

Nicolas Bedaride (1)

1 IML - Institut de mathématiques de Luminy

We give a new proof for the directional billiard complexity in the cube, which was conjectured in \cite{Ra} and proven in \cite{Ar.Ma.Sh.Ta}. Our technique gives us a similar theorem for some rational polyhedra.

Domaines: Systèmes dynamiques [math.DS]

Nicolas Bedaride. Billiard complexity in rational polyhedra. Regular and Chaotic Dynamics, 2003, 8 (1), pp.97-104. ⟨10.1070/RD2003v008n01ABEH000228⟩. ⟨hal-00920889⟩