Symbolic Dynamics of a Piecewise Rotation: Case of the Non Symmetric Bijective Maps

Nicolas Bédaride (1) , Idrissa Kaboré (2)

1 I2M - Institut de Mathématiques de Marseille
2 UNB - Université Nazi Boni (Bobo-Dioulasso)

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 Bédaride, Idrissa Kaboré. Symbolic Dynamics of a Piecewise Rotation: Case of the Non Symmetric Bijective Maps. Qualitative Theory of Dynamical Systems, 2018, 17 (3), pp.651-664. ⟨10.1007/s12346-017-0267-7⟩. ⟨hal-02075486⟩