Symbolic Dynamics of a Piecewise Rotation: Case of the bijective symmetric maps

Nicolas Bedaride (1) , Idrissa Kaboré

1 I2M - Institut de Mathématiques de Marseille

We consider a specific piecewise rotation of the plane that is continuous on two half-planes, as studied by some authors like Boshernitzan, Goetz and Quas. If the angle belongs to the set , we give a complete description of the symbolic dynamics of this map in the non symmetric bijective case.

Mots clés: Piecewise isometries; Substitutions; Renormalization; Words

Domaines: Systèmes dynamiques [math.DS]

Nicolas Bedaride, Idrissa Kaboré. Symbolic Dynamics of a Piecewise Rotation: Case of the bijective symmetric maps. African Diaspora Journal of Mathematics, 2020. ⟨hal-03520481⟩