Symbolic dynamics of a piecewise rotation: case of the non symmetric bijective maps

摘要

We consider a specific piecewise rotation of the plane that is continuous ontwo half-planes, as studied by some authors like Boshernitzan, Goetz and Quas.If the angle belongs to the set${rac{pi}{2},rac{2pi}{3},rac{pi}{4}}$, we give a completedescription of the symbolic dynamics of this map in the non symmetric bijectivecase.