Piecewise rotations: symbolic dynamics

Nicolas Bedaride (1) , Idrissa Kaboré

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

We consider the piecewise rotation studied in \cite{Bosh.Goet.03}, \cite{Goet.Quas.09} and \cite{Che.Goe.Qua.12}. If the angle belongs to the set $\{\pi/2,\pi/3,\pi/6,\pi/4,\pi/5\}$ we give a complete description of the symbolic dynamics of this map whatever the map is bijective, non injective or non surjective.

Domaines: Systèmes dynamiques [math.DS]; Combinatoire [math.CO]

Nicolas Bedaride, Idrissa Kaboré. Piecewise rotations: symbolic dynamics. 2013. ⟨hal-00904379⟩